annotate trafficintelligence/utils.py @ 1031:045cb04ad7b8

corrected bug in distribution
author Nicolas Saunier <nicolas.saunier@polymtl.ca>
date Tue, 19 Jun 2018 17:07:35 -0400
parents aafbc0bab925
children 4069d8545922
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1 #! /usr/bin/env python
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
2 ''' Generic utilities.'''
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
3
397
b36b00dd27c3 added function to read scene metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 395
diff changeset
4 from datetime import time, datetime
971
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
5 from argparse import ArgumentTypeError
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
6 from pathlib import Path
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
7 from math import sqrt, ceil, floor
1029
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
8 from copy import deepcopy, copy
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
9
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
10 from scipy.stats import rv_continuous, kruskal, shapiro, lognorm, norm, t
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
11 from scipy.spatial import distance
840
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
12 from scipy.sparse import dok_matrix
1031
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
13 from numpy import zeros, array, exp, sum as npsum, int as npint, arange, cumsum, mean, median, percentile, isnan, ones, convolve, dtype, isnan, NaN, ma, isinf, savez, load as npload, log, polyfit, float as npfloat
1029
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
14 from numpy.random import permutation as nppermutation
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
15 from pandas import DataFrame, concat
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
16 import matplotlib.pyplot as plt
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
17
421
4fce27946c60 first example of video metadata using sqlalchemy
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 405
diff changeset
18 datetimeFormat = "%Y-%m-%d %H:%M:%S"
4fce27946c60 first example of video metadata using sqlalchemy
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 405
diff changeset
19
969
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
20 sjcamDatetimeFormat = "%Y_%m%d_%H%M%S"#2017_0626_143720
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
21
185
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
22 #########################
1030
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
23 # txt files
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
24 #########################
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
25
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
26 commentChar = '#'
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
27
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
28 delimiterChar = '%';
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
29
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
30 def openCheck(filename, option = 'r', quitting = False):
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
31 '''Open file filename in read mode by default
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
32 and checks it is open'''
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
33 try:
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
34 return open(filename, option)
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
35 except IOError:
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
36 print('File {} could not be opened.'.format(filename))
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
37 if quitting:
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
38 from sys import exit
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
39 exit()
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
40 return None
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
41
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
42 def readline(f, commentCharacters = commentChar):
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
43 '''Modified readline function to skip comments
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
44 Can take a list of characters or a string (in will work in both)'''
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
45 s = f.readline()
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
46 while (len(s) > 0) and s[0] in commentCharacters:
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
47 s = f.readline()
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
48 return s.strip()
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
49
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
50 def getLines(f, delimiterChar = delimiterChar, commentCharacters = commentChar):
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
51 '''Gets a complete entry (all the lines) in between delimiterChar.'''
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
52 dataStrings = []
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
53 s = readline(f, commentCharacters)
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
54 while len(s) > 0 and s[0] != delimiterChar:
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
55 dataStrings += [s.strip()]
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
56 s = readline(f, commentCharacters)
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
57 return dataStrings
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
58
aafbc0bab925 moved method around to avoid cross-dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1029
diff changeset
59 #########################
742
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
60 # Strings
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
61 #########################
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
62
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
63 def upperCaseFirstLetter(s):
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
64 words = s.split(' ')
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
65 lowerWords = [w[0].upper()+w[1:].lower() for w in words]
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
66 return ' '.join(lowerWords)
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
67
971
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
68 class TimeConverter:
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
69 def __init__(self, datetimeFormat = datetimeFormat):
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
70 self.datetimeFormat = datetimeFormat
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
71
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
72 def convert(self, s):
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
73 try:
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
74 return datetime.strptime(s, self.datetimeFormat)
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
75 except ValueError:
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
76 msg = "Not a valid date: '{0}'.".format(s)
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
77 raise ArgumentTypeError(msg)
9897a13772fb added utils to load video sequence in metadata
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 969
diff changeset
78
742
fe71639f1ee7 merge and added function to up-/lower-case strings
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 741
diff changeset
79 #########################
185
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
80 # Enumerations
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
81 #########################
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
82
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
83 def inverseEnumeration(l):
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
84 'Returns the dictionary that provides for each element in the input list its index in the input list'
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
85 result = {}
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
86 for i,x in enumerate(l):
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
87 result[x] = i
c06379f25ab8 utilities for user types
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 181
diff changeset
88 return result
155
f03fe3d6d0c8 added functions to parse options
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 152
diff changeset
89
f03fe3d6d0c8 added functions to parse options
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 152
diff changeset
90 #########################
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
91 # Simple statistics
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
92 #########################
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
93
680
da1352b89d02 classification is working
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 677
diff changeset
94 def logNormalMeanVar(loc, scale):
687
de278c5e65f6 minor comments for lognormal parameters (numpy and usual names differ)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 686
diff changeset
95 '''location and scale are respectively the mean and standard deviation of the normal in the log-normal distribution
854
33d296984dd8 rework and more info on speed probabilities for classification
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 847
diff changeset
96 https://en.wikipedia.org/wiki/Log-normal_distribution
33d296984dd8 rework and more info on speed probabilities for classification
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 847
diff changeset
97
33d296984dd8 rework and more info on speed probabilities for classification
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 847
diff changeset
98 same as lognorm.stats(scale, 0, exp(loc))'''
680
da1352b89d02 classification is working
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 677
diff changeset
99 mean = exp(loc+(scale**2)/2)
854
33d296984dd8 rework and more info on speed probabilities for classification
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 847
diff changeset
100 var = (exp(scale**2)-1)*exp(2*loc+scale**2)
680
da1352b89d02 classification is working
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 677
diff changeset
101 return mean, var
da1352b89d02 classification is working
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 677
diff changeset
102
855
2277ab1a8141 added utility for lognorm estimation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 854
diff changeset
103 def fitLogNormal(x):
2277ab1a8141 added utility for lognorm estimation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 854
diff changeset
104 'returns the fitted location and scale of the lognormal (general definition)'
2277ab1a8141 added utility for lognorm estimation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 854
diff changeset
105 shape, loc, scale = lognorm.fit(x, floc=0.)
2277ab1a8141 added utility for lognorm estimation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 854
diff changeset
106 return log(scale), shape
2277ab1a8141 added utility for lognorm estimation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 854
diff changeset
107
859
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
108 def sampleSize(stdev, tolerance, percentConfidence, nRoundingDigits = None, printLatex = False):
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
109 if nRoundingDigits is None:
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
110 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), 2) # 1.-(100-percentConfidence)/200.
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
111 else:
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
112 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), nRoundingDigits)
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
113 stdev = round(stdev, nRoundingDigits)
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
114 tolerance = round(tolerance, nRoundingDigits)
423
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
115 if printLatex:
859
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
116 print('$z_{{{}}}^2\\frac{{s^2}}{{e^2}}={}^2\\frac{{{}^2}}{{{}^2}}$'.format(0.5+percentConfidence/200.,k, stdev, tolerance))
423
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
117 return (k*stdev/tolerance)**2
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
118
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
119 def confidenceInterval(mean, stdev, nSamples, percentConfidence, trueStd = True, printLatex = False):
499
0a93afea8243 alternative confidence interval
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 491
diff changeset
120 '''if trueStd, use normal distribution, otherwise, Student
0a93afea8243 alternative confidence interval
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 491
diff changeset
121
973
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
122 Use otherwise t.interval or norm.interval for the boundaries
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
123 ex: norm.interval(0.95)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
124 t.interval(0.95, nSamples-1)'''
423
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
125 if trueStd:
859
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
126 k = round(norm.ppf(0.5+percentConfidence/200., 0, 1), 2)
423
f738fa1b69f0 added sample size and Student distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 421
diff changeset
127 else: # use Student
859
a8de3c93f6b7 minor modifications to helper stat functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 856
diff changeset
128 k = round(t.ppf(0.5+percentConfidence/200., nSamples-1), 2)
301
27f06d28036d added simple helper for confidence intervals
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 297
diff changeset
129 e = k*stdev/sqrt(nSamples)
27f06d28036d added simple helper for confidence intervals
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 297
diff changeset
130 if printLatex:
27f06d28036d added simple helper for confidence intervals
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 297
diff changeset
131 print('${0} \pm {1}\\frac{{{2}}}{{\sqrt{{{3}}}}}$'.format(mean, k, stdev, nSamples))
27f06d28036d added simple helper for confidence intervals
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 297
diff changeset
132 return mean-e, mean+e
27f06d28036d added simple helper for confidence intervals
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 297
diff changeset
133
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
134 def computeChi2(expected, observed):
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
135 '''Returns the Chi2 statistics'''
876
c7e72d758049 minor update to avoid integer issue
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 859
diff changeset
136 return sum([((e-o)*(e-o))/float(e) for e, o in zip(expected, observed)])
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
137
1031
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
138 class EmpiricalContinuousDistribution(rv_continuous):
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
139 def __init__(self, values, probabilities, **kwargs):
1028
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
140 '''The values (and corresponding probabilities) are supposed to be sorted by value
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
141 for v, p in zip(values, probabilities): P(X<=v)=p'''
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
142 assert probabilities[0]==0
1031
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
143 super(EmpiricalContinuousDistribution, self).__init__(**kwargs)
1028
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
144 self.values = values
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
145 self.probabilities = probabilities
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
146
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
147 def _cdf(self, x):
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
148 if x < self.values[0]:
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
149 return self.probabilities[0]
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
150 else:
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
151 i=0
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
152 while i+1<len(self.values) and self.values[i+1] < x:
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
153 i += 1
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
154 if i == len(self.values)-1:
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
155 return self.probabilities[-1]
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
156 else:
1031
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
157 return self.probabilities[i]+(x-self.values[i])*float(self.probabilities[i+1]-self.probabilities[i])/float(self.values[i+1]-self.values[i])
1028
cc5cb04b04b0 major update using the trafficintelligence package name and install through pip
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1023
diff changeset
158
749
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
159 class DistributionSample(object):
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
160 def nSamples(self):
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
161 return sum(self.counts)
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
162
588
c5406edbcf12 added loading ground truth annotations (ground truth) from polytrack format
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 574
diff changeset
163 def cumulativeDensityFunction(sample, normalized = False):
276
78922b4de3bf minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 266
diff changeset
164 '''Returns the cumulative density function of the sample of a random variable'''
588
c5406edbcf12 added loading ground truth annotations (ground truth) from polytrack format
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 574
diff changeset
165 xaxis = sorted(sample)
c5406edbcf12 added loading ground truth annotations (ground truth) from polytrack format
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 574
diff changeset
166 counts = arange(1,len(sample)+1) # dtype = float
c5406edbcf12 added loading ground truth annotations (ground truth) from polytrack format
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 574
diff changeset
167 if normalized:
1031
045cb04ad7b8 corrected bug in distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1030
diff changeset
168 counts = counts.astype(float)/float(len(sample))
197
2788b2827670 simple cumulatie function distribution computation
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 185
diff changeset
169 return xaxis, counts
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
170
749
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
171 class DiscreteDistributionSample(DistributionSample):
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
172 '''Class to represent a sample of a distribution for a discrete random variable'''
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
173 def __init__(self, categories, counts):
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
174 self.categories = categories
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
175 self.counts = counts
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
176
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
177 def mean(self):
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
178 result = [float(x*y) for x,y in zip(self.categories, self.counts)]
672
5473b7460375 moved and rationalized imports in modules
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 671
diff changeset
179 return npsum(result)/self.nSamples()
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
180
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
181 def var(self, mean = None):
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
182 if not mean:
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
183 m = self.mean()
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
184 else:
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
185 m = mean
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
186 result = 0.
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
187 squares = [float((x-m)*(x-m)*y) for x,y in zip(self.categories, self.counts)]
672
5473b7460375 moved and rationalized imports in modules
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 671
diff changeset
188 return npsum(squares)/(self.nSamples()-1)
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
189
86
f03ec4697a09 corrected discrete distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 85
diff changeset
190 def referenceCounts(self, probability):
f03ec4697a09 corrected discrete distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 85
diff changeset
191 '''probability is a function that returns the probability of the random variable for the category values'''
f03ec4697a09 corrected discrete distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 85
diff changeset
192 refProba = [probability(c) for c in self.categories]
672
5473b7460375 moved and rationalized imports in modules
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 671
diff changeset
193 refProba[-1] = 1-npsum(refProba[:-1])
86
f03ec4697a09 corrected discrete distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 85
diff changeset
194 refCounts = [r*self.nSamples() for r in refProba]
f03ec4697a09 corrected discrete distribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 85
diff changeset
195 return refCounts, refProba
85
7f1e54234f96 added empirical discrete distribution, modified class organization and names
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 77
diff changeset
196
749
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
197 class ContinuousDistributionSample(DistributionSample):
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
198 '''Class to represent a sample of a distribution for a continuous random variable
76
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
199 with the number of observations for each interval
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
200 intervals (categories variable) are defined by their left limits, the last one being the right limit
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
201 categories contain therefore one more element than the counts'''
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
202 def __init__(self, categories, counts):
276
78922b4de3bf minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 266
diff changeset
203 # todo add samples for initialization and everything to None? (or setSamples?)
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
204 self.categories = categories
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
205 self.counts = counts
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
206
749
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
207 @staticmethod
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
208 def generate(sample, categories):
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
209 if min(sample) < min(categories):
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
210 print('Sample has lower min than proposed categories ({}, {})'.format(min(sample), min(categories)))
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
211 if max(sample) > max(categories):
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
212 print('Sample has higher max than proposed categories ({}, {})'.format(max(sample), max(categories)))
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
213 dist = ContinuousDistributionSample(sorted(categories), [0]*(len(categories)-1))
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
214 for s in sample:
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
215 i = 0
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
216 while i<len(dist.categories) and dist.categories[i] <= s:
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
217 i += 1
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
218 if i <= len(dist.counts):
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
219 dist.counts[i-1] += 1
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
220 #print('{} in {} {}'.format(s, dist.categories[i-1], dist.categories[i]))
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
221 else:
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
222 print('Element {} is not in the categories'.format(s))
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
223 return dist
10dbab1e871d modifications in samples and distributions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 742
diff changeset
224
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
225 def mean(self):
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
226 result = 0.
76
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
227 for i in range(len(self.counts)-1):
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
228 result += self.counts[i]*(self.categories[i]+self.categories[i+1])/2
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
229 return result/self.nSamples()
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
230
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
231 def var(self, mean = None):
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
232 if not mean:
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
233 m = self.mean()
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
234 else:
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
235 m = mean
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
236 result = 0.
76
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
237 for i in range(len(self.counts)-1):
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
238 mid = (self.categories[i]+self.categories[i+1])/2
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
239 result += self.counts[i]*(mid - m)*(mid - m)
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
240 return result/(self.nSamples()-1)
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
241
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
242 def referenceCounts(self, cdf):
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
243 '''cdf is a cumulative distribution function
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
244 returning the probability of the variable being less that x'''
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
245 # refCumulativeCounts = [0]#[cdf(self.categories[0][0])]
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
246 # for inter in self.categories:
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
247 # refCumulativeCounts.append(cdf(inter[1]))
76
64fde2b1f96d simplified intervales in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 75
diff changeset
248 refCumulativeCounts = [cdf(x) for x in self.categories[1:-1]]
35
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
249
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
250 refProba = [refCumulativeCounts[0]]
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
251 for i in xrange(1,len(refCumulativeCounts)):
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
252 refProba.append(refCumulativeCounts[i]-refCumulativeCounts[i-1])
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
253 refProba.append(1-refCumulativeCounts[-1])
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
254 refCounts = [p*self.nSamples() for p in refProba]
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
255
8cafee54466f forgotten update of histogram class
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 32
diff changeset
256 return refCounts, refProba
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
257
77
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
258 def printReferenceCounts(self, refCounts=None):
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
259 if refCounts:
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
260 ref = refCounts
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
261 else:
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
262 ref = self.referenceCounts
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
263 for i in xrange(len(ref[0])):
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
264 print('{0}-{1} & {2:0.3} & {3:0.3} \\\\'.format(self.categories[i],self.categories[i+1],ref[1][i], ref[0][i]))
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
265
5e6cd36a991c added pretty print in empiricalDistribution
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 76
diff changeset
266
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
267 #########################
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
268 # maths section
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
269 #########################
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
270
433
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
271 # def kernelSmoothing(sampleX, X, Y, weightFunc, halfwidth):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
272 # '''Returns a smoothed weighted version of Y at the predefined values of sampleX
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
273 # Sum_x weight(sample_x,x) * y(x)'''
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
274 # from numpy import zeros, array
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
275 # smoothed = zeros(len(sampleX))
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
276 # for i,x in enumerate(sampleX):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
277 # weights = array([weightFunc(x,xx, halfwidth) for xx in X])
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
278 # if sum(weights)>0:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
279 # smoothed[i] = sum(weights*Y)/sum(weights)
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
280 # else:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
281 # smoothed[i] = 0
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
282 # return smoothed
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
283
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
284 def kernelSmoothing(x, X, Y, weightFunc, halfwidth):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
285 '''Returns the smoothed estimate of (X,Y) at x
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
286 Sum_x weight(sample_x,x) * y(x)'''
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
287 weights = array([weightFunc(x,observedx, halfwidth) for observedx in X])
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
288 if sum(weights)>0:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
289 return sum(weights*Y)/sum(weights)
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
290 else:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
291 return 0
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
292
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
293 def uniform(center, x, halfwidth):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
294 if abs(center-x)<halfwidth:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
295 return 1.
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
296 else:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
297 return 0.
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
298
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
299 def gaussian(center, x, halfwidth):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
300 return exp(-((center-x)/halfwidth)**2/2)
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
301
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
302 def epanechnikov(center, x, halfwidth):
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
303 diff = abs(center-x)
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
304 if diff<halfwidth:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
305 return 1.-(diff/halfwidth)**2
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
306 else:
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
307 return 0.
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
308
434
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
309 def triangular(center, x, halfwidth):
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
310 diff = abs(center-x)
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
311 if diff<halfwidth:
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
312 return 1.-abs(diff/halfwidth)
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
313 else:
9a714f32fc9f small updates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 433
diff changeset
314 return 0.
433
d40ad901b272 added kernel smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 423
diff changeset
315
518
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
316 def medianSmoothing(x, X, Y, halfwidth):
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
317 '''Returns the media of Y's corresponding to X's in the interval [x-halfwidth, x+halfwidth]'''
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
318 return median([y for observedx, y in zip(X,Y) if abs(x-observedx)<halfwidth])
0c86c73f3c09 median smoothing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 511
diff changeset
319
521
3707eeb20f25 changed argMaxDict name to argmaxDict
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 518
diff changeset
320 def argmaxDict(d):
561
ee45c6eb6d49 added Mohamed Gomaa Mohamed function to smooth object trajectories
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 553
diff changeset
321 return max(d, key=d.get)
279
3af4c267a7bf generic simple LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 276
diff changeset
322
837
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
323 def deltaFrames(t1, t2, frameRate):
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
324 '''Returns the number of frames between t1 and t2
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
325 positive if t1<=t2, negative otherwise'''
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
326 if t1 > t2:
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
327 return -(t1-t2).seconds*frameRate
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
328 else:
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
329 return (t2-t1).seconds*frameRate
e01cabca4c55 minor modifications to merge-features
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 749
diff changeset
330
395
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
331 def framesToTime(nFrames, frameRate, initialTime = time()):
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
332 '''returns a datetime.time for the time in hour, minutes and seconds
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
333 initialTime is a datetime.time'''
6fba1ab040f1 minor modification to framestotime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 391
diff changeset
334 seconds = int(floor(float(nFrames)/float(frameRate))+initialTime.hour*3600+initialTime.minute*60+initialTime.second)
261
4aa792cb0fa9 changing framesToTime to return a datetime.time
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 248
diff changeset
335 h = int(floor(seconds/3600.))
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
336 seconds = seconds - h*3600
261
4aa792cb0fa9 changing framesToTime to return a datetime.time
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 248
diff changeset
337 m = int(floor(seconds/60))
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
338 seconds = seconds - m*60
262
a048066bd20f correcting bug in framesToTime
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 261
diff changeset
339 return time(h, m, seconds)
248
571ba5ed22e2 added utils for bus processing
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 241
diff changeset
340
381
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
341 def timeToFrames(t, frameRate):
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
342 return frameRate*(t.hour*3600+t.minute*60+t.second)
387cc0142211 script to replay event annotations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 376
diff changeset
343
241
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
344 def sortXY(X,Y):
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
345 'returns the sorted (x, Y(x)) sorted on X'
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
346 D = {}
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
347 for x, y in zip(X,Y):
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
348 D[x]=y
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
349 xsorted = sorted(D.keys())
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
350 return xsorted, [D[x] for x in xsorted]
ee1caff48b03 added function to sort to list of paired data X,Y
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 235
diff changeset
351
733
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
352 def compareLengthForSort(i, j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
353 if len(i) < len(j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
354 return -1
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
355 elif len(i) == len(j):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
356 return 0
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
357 else:
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
358 return 1
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
359
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
360 def sortByLength(instances, reverse = False):
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
361 '''Returns a new list with the instances sorted by length (method __len__)
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
362 reverse is passed to sorted'''
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
363 return sorted(instances, key = len, reverse = reverse)
733
c35e4a4b199d sortbylength
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 698
diff changeset
364
32
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
365 def ceilDecimals(v, nDecimals):
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
366 '''Rounds the number at the nth decimal
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
367 eg 1.23 at 0 decimal is 2, at 1 decimal is 1.3'''
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
368 tens = 10**nDecimals
32
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
369 return ceil(v*tens)/tens
48e56179c39e added ceil function
Nicolas Saunier <nico@confins.net>
parents: 31
diff changeset
370
152
74b1fc68d4df re-organized code to avoid cyclic python module dependencies
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 116
diff changeset
371 def inBetween(bound1, bound2, x):
698
8d99a9e16644 added clarification comments
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 689
diff changeset
372 'useful if one does not know the order of bound1/bound2'
569
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
373 return bound1 <= x <= bound2 or bound2 <= x <= bound1
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
374
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
375 def pointDistanceL2(x1,y1,x2,y2):
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
376 ''' Compute point-to-point distance (L2 norm, ie Euclidean distance)'''
0057c04f94d5 work in progress on intersections (for PET)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 561
diff changeset
377 return sqrt((x2-x1)**2+(y2-y1)**2)
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
378
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
379 def crossProduct(l1, l2):
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
380 return l1[0]*l2[1]-l1[1]*l2[0]
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
381
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
382 def cat_mvgavg(cat_list, halfWidth):
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
383 ''' Return a list of categories/values smoothed according to a window.
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
384 halfWidth is the search radius on either side'''
659
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
385 smoothed = deepcopy(cat_list)
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
386 for point in range(len(cat_list)):
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
387 lower_bound_check = max(0,point-halfWidth)
659
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
388 upper_bound_check = min(len(cat_list)-1,point+halfWidth+1)
784298512b60 minor modifications
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 637
diff changeset
389 window_values = cat_list[lower_bound_check:upper_bound_check]
574
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
390 smoothed[point] = max(set(window_values), key=window_values.count)
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
391 return smoothed
e24eeb244698 first implementation of projection to curvilinear coordinates
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 569
diff changeset
392
547
97c5fef5b2d6 corrected bugs
MohamedGomaa
parents: 521
diff changeset
393 def filterMovingWindow(inputSignal, halfWidth):
29
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
394 '''Returns an array obtained after the smoothing of the input by a moving average
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
395 The first and last points are copied from the original.'''
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
396 width = float(halfWidth*2+1)
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
397 win = ones(width,'d')
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
398 result = convolve(win/width,array(inputSignal),'same')
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
399 result[:halfWidth] = inputSignal[:halfWidth]
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
400 result[-halfWidth:] = inputSignal[-halfWidth:]
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
401 return result
ca8e716cc231 added moving average filter
Nicolas Saunier <nico@confins.net>
parents: 27
diff changeset
402
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
403 def linearRegression(x, y, deg = 1, plotData = False):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
404 '''returns the least square estimation of the linear regression of y = ax+b
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
405 as well as the plot'''
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
406 coef = polyfit(x, y, deg)
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
407 if plotData:
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
408 def poly(x):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
409 result = 0
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
410 for i in range(len(coef)):
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
411 result += coef[i]*x**(len(coef)-i-1)
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
412 return result
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
413 plt.plot(x, y, 'x')
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
414 xx = arange(min(x), max(x),(max(x)-min(x))/1000)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
415 plt.plot(xx, [poly(z) for z in xx])
199
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
416 return coef
ca9d9104afba added utility to calibrate polynoms and plot
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 197
diff changeset
417
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
418 def correlation(data, correlationMethod = 'pearson', plotFigure = False, displayNames = None, figureFilename = None):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
419 '''Computes (and displays) the correlation matrix for a pandas DataFrame'''
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
420 columns = data.columns.tolist()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
421 for var in data.columns:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
422 uniqueValues = data[var].unique()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
423 if len(uniqueValues) == 1 or data.dtypes[var] == dtype('O') or (len(uniqueValues) == 2 and len(data.loc[~isnan(data[var]), var].unique()) == 1): # last condition: only one other value than nan
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
424 columns.remove(var)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
425 c=data[columns].corr(correlationMethod)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
426 if plotFigure:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
427 fig = plt.figure(figsize=(4+0.4*c.shape[0], 0.4*c.shape[0]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
428 fig.add_subplot(1,1,1)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
429 #plt.imshow(np.fabs(c), interpolation='none')
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
430 plt.imshow(c, vmin=-1., vmax = 1., interpolation='none', cmap = 'RdYlBu_r') # coolwarm
847
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
431 if displayNames is not None:
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
432 colnames = [displayNames.get(s.strip(), s.strip()) for s in columns]
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
433 else:
36c5bee9a887 bug correction
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 841
diff changeset
434 colnames = columns
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
435 #correlation.plot_corr(c, xnames = colnames, normcolor=True, title = filename)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
436 plt.xticks(range(len(colnames)), colnames, rotation=90)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
437 plt.yticks(range(len(colnames)), colnames)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
438 plt.tick_params('both', length=0)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
439 plt.subplots_adjust(bottom = 0.29)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
440 plt.colorbar()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
441 plt.title('Correlation ({})'.format(correlationMethod))
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
442 plt.tight_layout()
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
443 if len(colnames) > 50:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
444 plt.subplots_adjust(left=.06)
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
445 if figureFilename is not None:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
446 plt.savefig(figureFilename, dpi = 150, transparent = True)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
447 return c
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
448
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
449 def addDummies(data, variables, allVariables = True):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
450 '''Add binary dummy variables for each value of a nominal variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
451 in a pandas DataFrame'''
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
452 newVariables = []
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
453 for var in variables:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
454 if var in data.columns and data.dtypes[var] == dtype('O') and len(data[var].unique()) > 2:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
455 values = data[var].unique()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
456 if not allVariables:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
457 values = values[:-1]
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
458 for val in values:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
459 if val is not NaN:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
460 newVariable = (var+'_{}'.format(val)).replace('.','').replace(' ','').replace('-','')
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
461 data[newVariable] = (data[var] == val)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
462 newVariables.append(newVariable)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
463 return newVariables
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
464
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
465 def kruskalWallis(data, dependentVariable, independentVariable, plotFigure = False, filenamePrefix = None, figureFileType = 'pdf', saveLatex = False, renameVariables = lambda s: s, kwCaption = ''):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
466 '''Studies the influence of (nominal) independent variable over the dependent variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
467
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
468 Makes tests if the conditional distributions are normal
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
469 using the Shapiro-Wilk test (in which case ANOVA could be used)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
470 Implements uses the non-parametric Kruskal Wallis test'''
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
471 tmp = data[data[independentVariable].notnull()]
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
472 independentVariableValues = sorted(tmp[independentVariable].unique().tolist())
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
473 if len(independentVariableValues) >= 2:
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
474 if saveLatex:
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
475 out = openCheck(filenamePrefix+'-{}-{}.tex'.format(dependentVariable, independentVariable), 'w')
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
476 for x in independentVariableValues:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
477 print('Shapiro-Wilk normality test for {} when {}={}: {} obs'.format(dependentVariable,independentVariable, x, len(tmp.loc[tmp[independentVariable] == x, dependentVariable])))
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
478 if len(tmp.loc[tmp[independentVariable] == x, dependentVariable]) >= 3:
978
184f1dd307f9 corrected print and exception statements for Python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 973
diff changeset
479 print(shapiro(tmp.loc[tmp[independentVariable] == x, dependentVariable]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
480 if plotFigure:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
481 plt.figure()
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
482 plt.boxplot([tmp.loc[tmp[independentVariable] == x, dependentVariable] for x in independentVariableValues])
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
483 plt.xticks(range(1,len(independentVariableValues)+1), independentVariableValues)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
484 plt.title('{} vs {}'.format(dependentVariable, independentVariable))
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
485 if filenamePrefix is not None:
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
486 plt.savefig(filenamePrefix+'-{}-{}.{}'.format(dependentVariable, independentVariable, figureFileType))
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
487 table = tmp.groupby([independentVariable])[dependentVariable].describe().unstack().sort(['50%'], ascending = False)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
488 table['count'] = table['count'].astype(int)
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
489 testResult = kruskal(*[tmp.loc[tmp[independentVariable] == x, dependentVariable] for x in independentVariableValues])
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
490 if saveLatex:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
491 out.write('\\begin{minipage}{\\linewidth}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
492 +'\\centering\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
493 +'\\captionof{table}{'+(kwCaption.format(dependentVariable, independentVariable, *testResult))+'}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
494 +table.to_latex(float_format = lambda x: '{:.3f}'.format(x)).encode('ascii')+'\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
495 +'\\end{minipage}\n'
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
496 +'\\ \\vspace{0.5cm}\n')
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
497 else:
978
184f1dd307f9 corrected print and exception statements for Python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 973
diff changeset
498 print(table)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
499 return testResult
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
500 else:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
501 return None
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
502
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
503 def prepareRegression(data, dependentVariable, independentVariables, maxCorrelationThreshold, correlations, maxCorrelationP, correlationFunc, stdoutText = ['Removing {} (constant: {})', 'Removing {} (correlation {} with {})', 'Removing {} (no correlation: {}, p={})'], saveFiles = False, filenamePrefix = None, latexHeader = '', latexTable = None, latexFooter=''):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
504 '''Removes variables from candidate independent variables if
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
505 - if two independent variables are correlated (> maxCorrelationThreshold), one is removed
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
506 - if an independent variable is not correlated with the dependent variable (p>maxCorrelationP)
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
507 Returns the remaining non-correlated variables, correlated with the dependent variable
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
508
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
509 correlationFunc is spearmanr or pearsonr from scipy.stats
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
510 text is the template to display for the two types of printout (see default): 3 elements if no saving to latex file, 8 otherwise
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
511
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
512 TODO: pass the dummies for nominal variables and remove if all dummies are correlated, or none is correlated with the dependentvariable'''
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
513 result = copy(independentVariables)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
514 table1 = ''
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
515 table2 = {}
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
516 # constant variables
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
517 for var in independentVariables:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
518 uniqueValues = data[var].unique()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
519 if (len(uniqueValues) == 1) or (len(uniqueValues) == 2 and uniqueValues.dtype != dtype('O') and len(data.loc[~isnan(data[var]), var].unique()) == 1):
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
520 print(stdoutText[0].format(var, uniqueValues))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
521 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
522 table1 += latexTable[0].format(var, *uniqueValues)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
523 result.remove(var)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
524 # correlated variables
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
525 for v1 in copy(result):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
526 if v1 in correlations.index:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
527 for v2 in copy(result):
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
528 if v2 != v1 and v2 in correlations.index:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
529 if abs(correlations.loc[v1, v2]) > maxCorrelationThreshold:
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
530 if v1 in result and v2 in result:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
531 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
532 table1 += latexTable[1].format(v2, v1, correlations.loc[v1, v2])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
533 print(stdoutText[1].format(v2, v1, correlations.loc[v1, v2]))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
534 result.remove(v2)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
535 # not correlated with dependent variable
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
536 table2['Correlations'] = []
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
537 table2['Valeurs p'] = []
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
538 for var in copy(result):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
539 if data.dtypes[var] != dtype('O'):
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
540 cor, p = correlationFunc(data[dependentVariable], data[var])
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
541 if p > maxCorrelationP:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
542 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
543 table1 += latexTable[2].format(var, cor, p)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
544 print(stdoutText[2].format(var, cor, p))
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
545 result.remove(var)
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
546 else:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
547 table2['Correlations'].append(cor)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
548 table2['Valeurs p'].append(p)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
549
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
550 if saveFiles:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
551 out = openCheck(filenamePrefix+'-removed-variables.tex', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
552 out.write(latexHeader)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
553 out.write(table1)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
554 out.write(latexFooter)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
555 out.close()
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
556 out = openCheck(filenamePrefix+'-correlations.html', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
557 table2['Variables'] = [var for var in result if data.dtypes[var] != dtype('O')]
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
558 out.write(DataFrame(table2)[['Variables', 'Correlations', 'Valeurs p']].to_html(formatters = {'Correlations': lambda x: '{:.2f}'.format(x), 'Valeurs p': lambda x: '{:.3f}'.format(x)}, index = False))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
559 out.close()
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
560 return result
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
561
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
562 def saveDokMatrix(filename, m, lowerTriangle = False):
840
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
563 'Saves a dok_matrix using savez'
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
564 if lowerTriangle:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
565 keys = [k for k in m if k[0] > k[1]]
841
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
566 savez(filename, shape = m.shape, keys = keys, values = [m[k[0],k[1]] for k in keys])
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 840
diff changeset
567 else:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
568 savez(filename, shape = m.shape, keys = list(m.keys()), values = list(m.values()))
840
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
569
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
570 def loadDokMatrix(filename):
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
571 'Loads a dok_matrix saved using the above saveDokMatrix'
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
572 data = npload(filename)
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
573 m = dok_matrix(tuple(data['shape']))
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
574 for k, v in zip(data['keys'], data['values']):
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
575 m[tuple(k)] = v
15a82ebc62c4 utils for sparse matrix
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 837
diff changeset
576 return m
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
577
1023
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
578 def aggregationFunction(funcStr, centile = 50):
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
579 '''return the numpy function corresponding to funcStr
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
580 centile can be a list of centiles to compute at once, eg [25, 50, 75] for the 3 quartiles'''
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
581 if funcStr == 'median':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
582 return median
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
583 elif funcStr == 'mean':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
584 return mean
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
585 elif funcStr == 'centile':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
586 return lambda x: percentile(x, centile)
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
587 elif funcStr == '85centile':
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
588 return lambda x: percentile(x, 85)
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
589 else:
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
590 print('Unknown aggregation method: {}'.format(funcStr))
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
591 return None
a13f47c8931d work on processing large datasets (generate speed data)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1022
diff changeset
592
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
593 #########################
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
594 # regression analysis using statsmodels (and pandas)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
595 #########################
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
596
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
597 # TODO make class for experiments?
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
598 # TODO add tests with public dataset downloaded from Internet (IRIS et al)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
599 def modelString(experiment, dependentVariable, independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
600 return dependentVariable+' ~ '+' + '.join([independentVariable for independentVariable in independentVariables if experiment[independentVariable]])
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
601
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
602 def runModel(experiment, data, dependentVariable, independentVariables, regressionType = 'ols'):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
603 import statsmodels.formula.api as smf
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
604 modelStr = modelString(experiment, dependentVariable, independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
605 if regressionType == 'ols':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
606 model = smf.ols(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
607 elif regressionType == 'gls':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
608 model = smf.gls(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
609 elif regressionType == 'rlm':
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
610 model = smf.rlm(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
611 else:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
612 print('Unknown regression type {}. Exiting'.format(regressionType))
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
613 import sys
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
614 sys.exit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
615 return model.fit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
616
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
617 def runModels(experiments, data, dependentVariable, independentVariables, regressionType = 'ols'):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
618 '''Runs several models and stores 3 statistics
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
619 adjusted R2, condition number (should be small, eg < 1000)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
620 and p-value for Shapiro-Wilk test of residual normality'''
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
621 for i,experiment in experiments.iterrows():
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
622 if experiment[independentVariables].any():
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
623 results = runModel(experiment, data, dependentVariable, independentVariables, regressionType = 'ols')
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
624 experiments.loc[i,'r2adj'] = results.rsquared_adj
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
625 experiments.loc[i,'condNum'] = results.condition_number
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
626 experiments.loc[i, 'shapiroP'] = shapiro(results.resid)[1]
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
627 experiments.loc[i,'nobs'] = int(results.nobs)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
628 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
629
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
630 def generateExperiments(independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
631 '''Generates all possible models for including or not each independent variable'''
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
632 experiments = {}
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
633 nIndependentVariables = len(independentVariables)
669
df6be882f325 bug corrected
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 668
diff changeset
634 if nIndependentVariables != len(set(independentVariables)):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
635 print("Duplicate variables. Exiting")
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
636 import sys
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
637 sys.exit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
638 nModels = 2**nIndependentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
639 for i,var in enumerate(independentVariables):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
640 pattern = [False]*(2**i)+[True]*(2**i)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
641 experiments[var] = pattern*(2**(nIndependentVariables-i-1))
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
642 experiments = DataFrame(experiments)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
643 experiments['r2adj'] = 0.
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
644 experiments['condNum'] = NaN
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
645 experiments['shapiroP'] = -1
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
646 experiments['nobs'] = -1
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
647 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
648
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
649 def findBestModel(data, dependentVariable, independentVariables, regressionType = 'ols', nProcesses = 1):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
650 '''Generates all possible model with the independentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
651 and runs them, saving the results in experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
652 with multiprocess option'''
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
653 experiments = generateExperiments(independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
654 nModels = len(experiments)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
655 print("Running {} models with {} processes".format(nModels, nProcesses))
674
01b89182891a corrected bug for intersection of lines (thanks to Paul for finding)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 672
diff changeset
656 print("IndependentVariables: {}".format(independentVariables))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
657 if nProcesses == 1:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
658 return runModels(experiments, data, dependentVariable, independentVariables, regressionType)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
659 else:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
660 pool = Pool(processes = nProcesses)
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
661 chunkSize = int(ceil(nModels/nProcesses))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
662 jobs = [pool.apply_async(runModels, args = (experiments[i*chunkSize:(i+1)*chunkSize], data, dependentVariable, independentVariables, regressionType)) for i in range(nProcesses)]
670
f72ed51c6b65 corrected other missing imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 669
diff changeset
663 return concat([job.get() for job in jobs])
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
664
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
665 def findBestModelFwd(data, dependentVariable, independentVariables, modelFunc, experiments = None):
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
666 '''Forward search for best model (based on adjusted R2)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
667 Randomly starting with one variable and adding randomly variables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
668 if they improve the model
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
669
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
670 The results are added to experiments if provided as argument
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
671 Storing in experiment relies on the index being the number equal
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
672 to the binary code derived from the independent variables'''
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
673 if experiments is None:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
674 experiments = generateExperiments(independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
675 nIndependentVariables = len(independentVariables)
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
676 permutation = nppermutation(list(range(nIndependentVariables)))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
677 variableMapping = {j: independentVariables[i] for i,j in enumerate(permutation)}
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
678 print('Tested variables '+', '.join([variableMapping[i] for i in range(nIndependentVariables)]))
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
679 bestModel = [False]*nIndependentVariables
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
680 currentVarNum = 0
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
681 currentR2Adj = 0.
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
682 for currentVarNum in range(nIndependentVariables):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
683 currentModel = [i for i in bestModel]
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
684 currentModel[currentVarNum] = True
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
685 rowIdx = sum([0]+[2**i for i in range(nIndependentVariables) if currentModel[permutation[i]]])
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
686 #print currentVarNum, sum(currentModel), ', '.join([independentVariables[i] for i in range(nIndependentVariables) if currentModel[permutation[i]]])
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
687 if experiments.loc[rowIdx, 'shapiroP'] < 0:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
688 modelStr = modelString(experiments.loc[rowIdx], dependentVariable, independentVariables)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
689 model = modelFunc(modelStr, data = data)
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
690 results = model.fit()
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
691 experiments.loc[rowIdx, 'r2adj'] = results.rsquared_adj
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
692 experiments.loc[rowIdx, 'condNum'] = results.condition_number
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
693 experiments.loc[rowIdx, 'shapiroP'] = shapiro(results.resid)[1]
668
f8dcf483b296 code to prepare regression variables (remove correlated variables) and record dataset size in experimnets
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 667
diff changeset
694 experiments.loc[rowIdx, 'nobs'] = int(results.nobs)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
695 if currentR2Adj < experiments.loc[rowIdx, 'r2adj']:
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
696 currentR2Adj = experiments.loc[rowIdx, 'r2adj']
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
697 bestModel[currentVarNum] = True
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
698 return experiments
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
699
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
700 def displayModelResults(results, model = None, plotFigures = True, filenamePrefix = None, figureFileType = 'pdf', text = {'title-shapiro': 'Shapiro-Wilk normality test for residuals: {:.2f} (p={:.3f})', 'true-predicted.xlabel': 'Predicted values', 'true-predicted.ylabel': 'True values', 'residuals-predicted.xlabel': 'Predicted values', 'residuals-predicted.ylabel': 'Residuals'}):
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
701 import statsmodels.api as sm
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
702 '''Displays some model results
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
703
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
704 3 graphics, true-predicted, residuals-predicted, '''
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
705 print(results.summary())
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
706 shapiroResult = shapiro(results.resid)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
707 print(shapiroResult)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
708 if plotFigures:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
709 fig = plt.figure(figsize=(7,6.3*(2+int(model is not None))))
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
710 if model is not None:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
711 ax = fig.add_subplot(3,1,1)
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
712 plt.plot(results.predict(), model.endog, 'x')
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
713 x=plt.xlim()
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
714 y=plt.ylim()
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
715 plt.plot([max(x[0], y[0]), min(x[1], y[1])], [max(x[0], y[0]), min(x[1], y[1])], 'r')
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
716 #plt.axis('equal')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
717 if text is not None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
718 plt.title(text['title-shapiro'].format(*shapiroResult))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
719 #plt.title(text['true-predicted.title'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
720 plt.xlabel(text['true-predicted.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
721 plt.ylabel(text['true-predicted.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
722 fig.add_subplot(3,1,2, sharex = ax)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
723 plt.plot(results.predict(), results.resid, 'x')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
724 nextSubplotNum = 3
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
725 else:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
726 fig.add_subplot(2,1,1)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
727 plt.plot(results.predict(), results.resid, 'x')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
728 nextSubplotNum = 2
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
729 if text is not None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
730 if model is None:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
731 plt.title(text['title-shapiro'].format(*shapiroResult))
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
732 plt.xlabel(text['residuals-predicted.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
733 plt.ylabel(text['residuals-predicted.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
734 qqAx = fig.add_subplot(nextSubplotNum,1,nextSubplotNum)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
735 sm.qqplot(results.resid, fit = True, line = '45', ax = qqAx)
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
736 plt.axis('equal')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
737 if text is not None and 'qqplot.xlabel' in text:
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
738 plt.xlabel(text['qqplot.xlabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
739 plt.ylabel(text['qqplot.ylabel'])
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
740 plt.tight_layout()
676
58b9ac2f262f fine tuning
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 675
diff changeset
741 if filenamePrefix is not None:
677
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
742 out = openCheck(filenamePrefix+'-coefficients.html', 'w')
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
743 out.write(results.summary().as_html())
ae07c7b4cf87 update to utils for pavement results
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 676
diff changeset
744 plt.savefig(filenamePrefix+'-model-results.'+figureFileType)
667
179b81faa1f8 added regression analysis functions
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 665
diff changeset
745
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
746 #########################
455
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
747 # iterable section
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
748 #########################
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
749
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
750 def mostCommon(L):
456
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
751 '''Returns the most frequent element in a iterable
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
752
825e5d49325d slight update
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 455
diff changeset
753 taken from http://stackoverflow.com/questions/1518522/python-most-common-element-in-a-list'''
455
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
754 from itertools import groupby
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
755 from operator import itemgetter
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
756 # get an iterable of (item, iterable) pairs
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
757 SL = sorted((x, i) for i, x in enumerate(L))
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
758 # print 'SL:', SL
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
759 groups = groupby(SL, key=itemgetter(0))
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
760 # auxiliary function to get "quality" for an item
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
761 def _auxfun(g):
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
762 item, iterable = g
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
763 count = 0
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
764 min_index = len(L)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
765 for _, where in iterable:
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
766 count += 1
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
767 min_index = min(min_index, where)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
768 # print 'item %r, count %r, minind %r' % (item, count, min_index)
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
769 return count, -min_index
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
770 # pick the highest-count/earliest item
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
771 return max(groups, key=_auxfun)[0]
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
772
abe0b2347d4c added most common utility function
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 434
diff changeset
773 #########################
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
774 # sequence section
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
775 #########################
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
776
665
15e244d2a1b5 corrected bug with circular import for VideoFilenameAddable, moved to base module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 659
diff changeset
777 class LCSS(object):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
778 '''Class that keeps the LCSS parameters
686
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
779 and puts together the various computations
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
780
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
781 the methods with names starting with _ are not to be shadowed
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
782 in child classes, who will shadow the other methods,
cdee6a3a47b4 allowing alternate database and filename for classify-objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 680
diff changeset
783 ie compute and computeXX methods'''
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
784 def __init__(self, similarityFunc = None, metric = None, epsilon = None, delta = float('inf'), aligned = False, lengthFunc = min):
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
785 '''One should provide either a similarity function
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
786 that indicates (return bool) whether elements in the compares lists are similar
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
787
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
788 eg distance(p1, p2) < epsilon
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
789
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
790 or a type of metric usable in scipy.spatial.distance.cdist with an epsilon'''
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
791 if similarityFunc is None and metric is None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
792 print("No way to compute LCSS, similarityFunc and metric are None. Exiting")
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
793 import sys
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
794 sys.exit()
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
795 elif metric is not None and epsilon is None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
796 print("Please provide a value for epsilon if using a cdist metric. Exiting")
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
797 import sys
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
798 sys.exit()
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
799 else:
741
5b91b8d97cf3 corrected bug
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 739
diff changeset
800 if similarityFunc is None and metric is not None and not isinf(delta):
737
fb60b54e1041 added warning for finite delta
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 733
diff changeset
801 print('Warning: you are using a cdist metric and a finite delta, which will make probably computation slower than using the equivalent similarityFunc (since all pairwise distances will be computed by cdist).')
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
802 self.similarityFunc = similarityFunc
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
803 self.metric = metric
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
804 self.epsilon = epsilon
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
805 self.aligned = aligned
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
806 self.delta = delta
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
807 self.lengthFunc = lengthFunc
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
808 self.subSequenceIndices = [(0,0)]
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
809
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
810 def similarities(self, l1, l2, jshift=0):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
811 n1 = len(l1)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
812 n2 = len(l2)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
813 self.similarityTable = zeros((n1+1,n2+1), dtype = npint)
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
814 if self.similarityFunc is not None:
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
815 for i in range(1,n1+1):
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
816 for j in range(max(1,i-jshift-self.delta),min(n2,i-jshift+self.delta)+1):
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
817 if self.similarityFunc(l1[i-1], l2[j-1]):
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
818 self.similarityTable[i,j] = self.similarityTable[i-1,j-1]+1
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
819 else:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
820 self.similarityTable[i,j] = max(self.similarityTable[i-1,j], self.similarityTable[i,j-1])
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
821 elif self.metric is not None:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
822 similarElements = distance.cdist(l1, l2, self.metric) <= self.epsilon
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
823 for i in range(1,n1+1):
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
824 for j in range(max(1,i-jshift-self.delta),min(n2,i-jshift+self.delta)+1):
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
825 if similarElements[i-1, j-1]:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
826 self.similarityTable[i,j] = self.similarityTable[i-1,j-1]+1
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
827 else:
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
828 self.similarityTable[i,j] = max(self.similarityTable[i-1,j], self.similarityTable[i,j-1])
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
829
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
830
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
831 def subSequence(self, i, j):
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
832 '''Returns the subsequence of two sequences
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
833 http://en.wikipedia.org/wiki/Longest_common_subsequence_problem'''
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
834 if i == 0 or j == 0:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
835 return []
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
836 elif self.similarityTable[i][j] == self.similarityTable[i][j-1]:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
837 return self.subSequence(i, j-1)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
838 elif self.similarityTable[i][j] == self.similarityTable[i-1][j]:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
839 return self.subSequence(i-1, j)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
840 else:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
841 return self.subSequence(i-1, j-1) + [(i-1,j-1)]
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
842
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
843 def _compute(self, _l1, _l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
844 '''returns the longest common subsequence similarity
689
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
845 l1 and l2 should be the right format
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
846 eg list of tuple points for cdist
9990ef119bce added version of LCSS with cdist computations
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 687
diff changeset
847 or elements that can be compare using similarityFunc
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
848
607
84690dfe5560 add some functions for behaviour analysis
MohamedGomaa
parents: 574
diff changeset
849 if aligned, returns the best matching if using a finite delta by shifting the series alignments
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
850 '''
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
851 if len(_l2) < len(_l1): # l1 is the shortest
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
852 l1 = _l2
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
853 l2 = _l1
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
854 revertIndices = True
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
855 else:
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
856 l1 = _l1
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
857 l2 = _l2
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
858 revertIndices = False
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
859 n1 = len(l1)
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
860 n2 = len(l2)
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
861
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
862 if self.aligned:
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
863 lcssValues = {}
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
864 similarityTables = {}
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
865 for i in range(-n2-self.delta+1, n1+self.delta): # interval such that [i-shift-delta, i-shift+delta] is never empty, which happens when i-shift+delta < 1 or when i-shift-delta > n2
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
866 self.similarities(l1, l2, i)
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
867 lcssValues[i] = self.similarityTable.max()
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
868 similarityTables[i] = self.similarityTable
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
869 #print self.similarityTable
521
3707eeb20f25 changed argMaxDict name to argmaxDict
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 518
diff changeset
870 alignmentShift = argmaxDict(lcssValues) # ideally get the medium alignment shift, the one that minimizes distance
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
871 self.similarityTable = similarityTables[alignmentShift]
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
872 else:
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
873 alignmentShift = 0
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
874 self.similarities(l1, l2)
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
875
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
876 # threshold values for the useful part of the similarity table are n2-n1-delta and n1-n2-delta
389
6d26dcc7bba0 modifications to compute alignment for None indicators
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 381
diff changeset
877 self.similarityTable = self.similarityTable[:min(n1, n2+alignmentShift+self.delta)+1, :min(n2, n1-alignmentShift+self.delta)+1]
373
d0b86ed50f32 work in progress on LCSS
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 372
diff changeset
878
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
879 if computeSubSequence:
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
880 self.subSequenceIndices = self.subSequence(self.similarityTable.shape[0]-1, self.similarityTable.shape[1]-1)
371
924e38c9f70e work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 370
diff changeset
881 if revertIndices:
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
882 self.subSequenceIndices = [(j,i) for i,j in self.subSequenceIndices]
372
349eb1e09f45 Cleaned the methods/functions indicating if a point is in a polygon
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 371
diff changeset
883 return self.similarityTable[-1,-1]
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
884
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
885 def compute(self, l1, l2, computeSubSequence = False):
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
886 '''get methods are to be shadowed in child classes '''
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
887 return self._compute(l1, l2, computeSubSequence)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
888
375
2ea8584aa80a making indicator LCSS work
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 374
diff changeset
889 def computeAlignment(self):
374
a7af3519687e finished implementation of aligned LCSS with matching sequence decoded
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 373
diff changeset
890 return mean([j-i for i,j in self.subSequenceIndices])
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
891
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
892 def _computeNormalized(self, l1, l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
893 ''' compute the normalized LCSS
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
894 ie, the LCSS divided by the min or mean of the indicator lengths (using lengthFunc)
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
895 lengthFunc = lambda x,y:float(x,y)/2'''
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
896 return float(self._compute(l1, l2, computeSubSequence))/self.lengthFunc(len(l1), len(l2))
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
897
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
898 def computeNormalized(self, l1, l2, computeSubSequence = False):
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
899 return self._computeNormalized(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
900
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
901 def _computeDistance(self, l1, l2, computeSubSequence = False):
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
902 ''' compute the LCSS distance'''
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
903 return 1-self._computeNormalized(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
904
376
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
905 def computeDistance(self, l1, l2, computeSubSequence = False):
2e6b8610bcaa work on indicator similarity
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 375
diff changeset
906 return self._computeDistance(l1, l2, computeSubSequence)
370
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
907
97e8fa0ee9a1 work in progress for complete alignment
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 369
diff changeset
908 #########################
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
909 # plotting section
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
910 #########################
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
911
940
d8ab183a7351 verified motion prediction with prototypes at constant speed (test needed)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 876
diff changeset
912 def plotPolygon(poly, options = '', **kwargs):
332
a6ca86107f27 reorganized utils module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 324
diff changeset
913 'Plots shapely polygon poly'
940
d8ab183a7351 verified motion prediction with prototypes at constant speed (test needed)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 876
diff changeset
914 x,y = poly.exterior.xy
1029
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
915 plt.plot(x, y, options, **kwargs)
332
a6ca86107f27 reorganized utils module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 324
diff changeset
916
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
917 def stepPlot(X, firstX, lastX, initialCount = 0, increment = 1):
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
918 '''for each value in X, increment by increment the initial count
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
919 returns the lists that can be plotted
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
920 to obtain a step plot increasing by one for each value in x, from first to last value
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
921 firstX and lastX should be respectively smaller and larger than all elements in X'''
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
922
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
923 sortedX = []
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
924 counts = [initialCount]
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
925 for x in sorted(X):
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
926 sortedX += [x,x]
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
927 counts.append(counts[-1])
324
99ca91a46007 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 323
diff changeset
928 counts.append(counts[-1]+increment)
297
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
929 counts.append(counts[-1])
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
930 return [firstX]+sortedX+[lastX], counts
f6f423e25c7f adding function to generate step plots (for cumulative number of vehicles)
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 286
diff changeset
931
665
15e244d2a1b5 corrected bug with circular import for VideoFilenameAddable, moved to base module
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 659
diff changeset
932 class PlottingPropertyValues(object):
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
933 def __init__(self, values):
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
934 self.values = values
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
935
116
2bf5b76320c0 moved intersection plotting and added markers for scatter plots
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 115
diff changeset
936 def __getitem__(self, i):
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
937 return self.values[i%len(self.values)]
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
938
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
939 markers = PlottingPropertyValues(['+', '*', ',', '.', 'x', 'D', 's', 'o'])
116
2bf5b76320c0 moved intersection plotting and added markers for scatter plots
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 115
diff changeset
940 scatterMarkers = PlottingPropertyValues(['s','o','^','>','v','<','d','p','h','8','+','x'])
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
941
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
942 linestyles = PlottingPropertyValues(['-', '--', '-.', ':'])
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
943
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
944 colors = PlottingPropertyValues('brgmyck') # 'w'
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
945
990
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
946 def monochromeCycler(withMarker = False):
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
947 from cycler import cycler
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
948 if withMarker:
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
949 monochrome = (cycler('color', ['k']) * cycler('linestyle', ['-', '--', ':', '-.']) * cycler('marker', ['^',',', '.']))
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
950 else:
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
951 monochrome = (cycler('color', ['k']) * cycler('linestyle', ['-', '--', ':', '-.']))
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
952 plt.rc('axes', prop_cycle=monochrome)
94bee7b604eb addition
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 978
diff changeset
953
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
954 def plotIndicatorMap(indicatorMap, squareSize, masked = True, defaultValue=-1):
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
955 coords = array(list(indicatorMap.keys()))
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
956 minX = min(coords[:,0])
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
957 minY = min(coords[:,1])
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
958 X = arange(minX, max(coords[:,0])+1.1)*squareSize
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
959 Y = arange(minY, max(coords[:,1])+1.1)*squareSize
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
960 C = defaultValue*ones((len(Y), len(X)))
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
961 for k,v in indicatorMap.items():
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
962 C[k[1]-minY,k[0]-minX] = v
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
963 if masked:
1029
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
964 plt.pcolor(X, Y, ma.masked_where(C==defaultValue,C))
115
550556378466 added functionalities to indicator maps
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 86
diff changeset
965 else:
1029
c6cf75a2ed08 reorganization of imports
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 1028
diff changeset
966 plt.pcolor(X, Y, C)
65
75cf537b8d88 moved and generalized map making functions to the library
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 48
diff changeset
967
45
74d2de078baf added colors, linestyles and markers to pick from
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 42
diff changeset
968 #########################
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
969 # Data download
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
970 #########################
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
971
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
972 def downloadECWeather(stationID, years, months = [], outputDirectoryname = '.', english = True):
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
973 '''Downloads monthly weather data from Environment Canada
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
974 If month is provided (number 1 to 12), it means hourly data for the whole month
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
975 Otherwise, means the data for each day, for the whole year
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
976
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
977 Example: MONTREAL MCTAVISH 10761
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
978 MONTREALPIERRE ELLIOTT TRUDEAU INTL A 5415
856
e310577cc0b8 updated function (url) for weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 855
diff changeset
979 see ftp://client_climate@ftp.tor.ec.gc.ca/Pub/Get_More_Data_Plus_de_donnees/Station%20Inventory%20EN.csv
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
980
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
981 To get daily data for 2010 and 2011, downloadECWeather(10761, [2010,2011], [], '/tmp')
973
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
982 To get hourly data for 2009 and 2012, January, March and October, downloadECWeather(10761, [2009,2012], [1,3,10], '/tmp')
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
983
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
984 for annee in `seq 2016 2017`;do wget --content-disposition "http://climat.meteo.gc.ca/climate_data/bulk_data_f.html?format=csv&stationID=10761&Year=${annee}&timeframe=2&submit=++T%C3%A9l%C3%A9charger+%0D%0Ades+donn%C3%A9es" ;done
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
985 for annee in `seq 2016 2017`;do for mois in `seq 1 12`;do wget --content-disposition "http://climat.meteo.gc.ca/climate_data/bulk_data_f.html?format=csv&stationID=10761&Year=${annee}&Month=${mois}&timeframe=1&submit=++T%C3%A9l%C3%A9charger+%0D%0Ades+donn%C3%A9es" ;done;done
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 971
diff changeset
986 '''
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
987 import urllib.request
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
988 if english:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
989 language = 'e'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
990 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
991 language = 'f'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
992 if len(months) == 0:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
993 timeFrame = 2
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
994 months = [1]
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
995 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
996 timeFrame = 1
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
997
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
998 for year in years:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
999 for month in months:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1000 outFilename = '{}/{}-{}'.format(outputDirectoryname, stationID, year)
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1001 if timeFrame == 1:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1002 outFilename += '-{}-hourly'.format(month)
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1003 else:
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1004 outFilename += '-daily'
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1005 outFilename += '.csv'
997
4f3387a242a1 updated utils to python 3
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 990
diff changeset
1006 url = urllib.request.urlretrieve('http://climate.weather.gc.ca/climate_data/bulk_data_{}.html?format=csv&stationID={}&Year={}&Month={}&Day=1&timeframe={}&submit=Download+Data'.format(language, stationID, year, month, timeFrame), outFilename)
637
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1007
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1008 #########################
c9a0b72979fd added function to get canadian public weather data
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 615
diff changeset
1009 # File I/O
27
44689029a86f updated segmentIntersection and other
Nicolas Saunier <nico@confins.net>
parents: 24
diff changeset
1010 #########################
24
6fb59cfb201e first version of segmentIntersection
Nicolas Saunier <nico@confins.net>
parents: 19
diff changeset
1011
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1012 def removeExtension(filename, delimiter = '.'):
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1013 '''Returns the filename minus the extension (all characters after last .)'''
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1014 i = filename.rfind(delimiter)
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1015 if i>0:
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1016 return filename[:i]
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1017 else:
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1018 return filename
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1019
969
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1020 def getExtension(filename, delimiter = '.'):
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1021 '''Returns the filename minus the extension (all characters after last .)'''
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1022 i = filename.rfind(delimiter)
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1023 if i>0:
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1024 return filename[i+1:]
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1025 else:
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1026 return ''
5d788d2e8ffc work in progress
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 940
diff changeset
1027
46
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
1028 def cleanFilename(s):
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
1029 'cleans filenames obtained when contatenating figure characteristics'
739
25e78d756823 minor change
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 737
diff changeset
1030 return s.replace(' ','-').replace('.','').replace('/','-').replace(',','')
46
b5d007612e16 added filename util
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 45
diff changeset
1031
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1032 def getRelativeFilename(parentPath, filename):
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1033 'Returns filename if absolute, otherwise parentPath/filename as string'
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1034 filePath = Path(filename)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1035 if filePath.is_absolute():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1036 return filename
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1037 else:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1038 return str(parentPath/filePath)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1039
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1040 def listfiles(dirname, extension, remove = False):
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1041 '''Returns the list of files with the extension in the directory dirname
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1042 If remove is True, the filenames are stripped from the extension'''
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1043 d = Path(dirname)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1044 if d.is_dir():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1045 tmp = [str(f) for f in d.glob('*.extension')]
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1046 if remove:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1047 return [removeExtension(f, extension) for f in tmp]
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1048 else:
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1049 return tmp
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1050 else:
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1051 print(dirname+' is not a directory')
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1052 return []
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1053
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1054 def mkdir(dirname):
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1055 'Creates a directory if it does not exist'
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1056 p = Path(dirname)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1057 if not p.exists():
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1058 p.mkdir()
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1059 else:
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1060 print(dirname+' already exists')
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1061
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1062 def removeFile(filename):
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1063 '''Deletes the file while avoiding raising an error
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1064 if the file does not exist'''
1021
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1065 f = Path(filename)
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1066 if (f.exists()):
16932cefabc1 work on paths in line with new configurations from tracker
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 997
diff changeset
1067 f.unlink()
266
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1068 else:
aba9711b3149 small modificatons and reorganization
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 262
diff changeset
1069 print(filename+' does not exist')
14
e7bbe8465591 homography and other utils
Nicolas Saunier <nico@confins.net>
parents: 7
diff changeset
1070
42
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1071 def line2Floats(l, separator=' '):
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1072 '''Returns the list of floats corresponding to the string'''
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1073 return [float(x) for x in l.split(separator)]
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1074
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1075 def line2Ints(l, separator=' '):
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1076 '''Returns the list of ints corresponding to the string'''
1a2ac2d4f53a added loading of the rest of the data for objects
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 35
diff changeset
1077 return [int(x) for x in l.split(separator)]
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1078
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1079 #########################
553
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1080 # Profiling
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1081 #########################
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1082
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1083 def analyzeProfile(profileFilename, stripDirs = True):
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1084 '''Analyze the file produced by cProfile
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1085
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1086 obtained by for example:
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1087 - call in script (for main() function in script)
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1088 import cProfile, os
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1089 cProfile.run('main()', os.path.join(os.getcwd(),'main.profile'))
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1090
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1091 - or on the command line:
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1092 python -m cProfile [-o profile.bin] [-s sort] scriptfile [arg]'''
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1093 import pstats, os
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1094 p = pstats.Stats(os.path.join(os.pardir, profileFilename))
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1095 if stripDirs:
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1096 p.strip_dirs()
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1097 p.sort_stats('time')
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1098 p.print_stats(.2)
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1099 #p.sort_stats('time')
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1100 # p.print_callees(.1, 'int_prediction.py:')
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1101 return p
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1102
3622a5653ee9 added basic info and function to profile code
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 547
diff changeset
1103 #########################
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1104 # running tests
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1105 #########################
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1106
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1107 if __name__ == "__main__":
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1108 import doctest
2
de5642925615 started implementation of TimeInterval and Spatio-temporal object
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 0
diff changeset
1109 import unittest
31
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1110 suite = doctest.DocFileSuite('tests/utils.txt')
c000f37c316d moved tests to independent file, added chi2 computation
Nicolas Saunier <nico@confins.net>
parents: 29
diff changeset
1111 #suite = doctest.DocTestSuite()
2
de5642925615 started implementation of TimeInterval and Spatio-temporal object
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 0
diff changeset
1112 unittest.TextTestRunner().run(suite)
de5642925615 started implementation of TimeInterval and Spatio-temporal object
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 0
diff changeset
1113 #doctest.testmod()
0
aed8eb63cdde initial commit with non-functional python code for NGSIM
Nicolas Saunier <nico@confins.net>
parents:
diff changeset
1114 #doctest.testfile("example.txt")