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annotate python/ml.py @ 382:ba813f148ade
development for clustering
author | Nicolas Saunier <nicolas.saunier@polymtl.ca> |
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date | Sun, 21 Jul 2013 10:23:15 -0400 |
parents | adfd4f70ee1d |
children | 8bc632cb8344 |
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1 #! /usr/bin/env python |
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2 '''Libraries for machine learning algorithms''' |
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3 |
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4 import numpy as np |
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5 |
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6 __metaclass__ = type |
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7 |
380 | 8 class Model(object): |
9 '''Abstract class for loading/saving model''' | |
10 def load(self, fn): | |
11 self.model.load(fn) | |
12 | |
13 def save(self, fn): | |
14 self.model.save(fn) | |
15 | |
16 class SVM(Model): | |
17 '''wrapper for OpenCV SimpleVectorMachine algorithm''' | |
18 | |
19 def __init__(self, svm_type, kernel_type, degree = 0, gamma = 1, coef0 = 0, Cvalue = 1, nu = 0, p = 0): | |
20 import cv2 | |
21 self.model = cv2.SVM() | |
22 self.params = dict(svm_type = svm_type, kernel_type = kernel_type, degree = degree, gamma = gamma, coef0 = coef0, Cvalue = Cvalue, nu = nu, p = p) | |
23 | |
24 def train(self, samples, responses): | |
25 self.model.train(samples, responses, params = self.params) | |
26 | |
27 def predict(self, sample): | |
28 return np.float32(self.model.predict(s)) | |
29 | |
30 | |
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31 class Centroid: |
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32 'Wrapper around instances to add a counter' |
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33 |
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34 def __init__(self, instance, nInstances = 1): |
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35 self.instance = instance |
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36 self.nInstances = nInstances |
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37 |
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38 # def similar(instance2): |
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39 # return self.instance.similar(instance2) |
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40 |
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41 def add(self, instance2): |
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42 self.instance = self.instance.multiply(self.nInstances)+instance2 |
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43 self.nInstances += 1 |
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44 self.instance = self.instance.multiply(1/float(self.nInstances)) |
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45 |
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46 def average(c): |
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47 inst = self.instance.multiply(self.nInstances)+c.instance.multiply(instance.nInstances) |
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48 inst.multiply(1/(self.nInstances+instance.nInstances)) |
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49 return Centroid(inst, self.nInstances+instance.nInstances) |
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50 |
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51 def draw(self, options = ''): |
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52 from matplotlib.pylab import text |
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53 self.instance.draw(options) |
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54 text(self.instance.position.x+1, self.instance.position.y+1, str(self.nInstances)) |
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55 |
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56 |
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57 def assignCluster(data, similarFunc, initialCentroids = [], shuffleData = True): |
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58 '''k-means algorithm with similarity function |
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59 Two instances should be in the same cluster if the sameCluster function returns true for two instances. It is supposed that the average centroid of a set of instances can be computed, using the function. |
183
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60 The number of clusters will be determined accordingly |
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61 |
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62 data: list of instances |
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63 averageCentroid: ''' |
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64 |
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65 from random import shuffle |
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66 from copy import copy, deepcopy |
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67 localdata = copy(data) # shallow copy to avoid modifying data |
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68 if shuffleData: |
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69 shuffle(localdata) |
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70 if initialCentroids: |
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71 centroids = deepcopy(initialCentroids) |
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72 else: |
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73 centroids = [Centroid(localdata[0])] |
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74 for instance in localdata[1:]: |
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75 i = 0 |
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76 while i<len(centroids) and not similarFunc(centroids[i].instance, instance): |
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77 i += 1 |
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78 if i == len(centroids): |
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79 centroids.append(Centroid(instance)) |
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80 else: |
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81 centroids[i].add(instance) |
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82 |
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83 return centroids |
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84 |
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85 # TODO recompute centroids for each cluster: instance that minimizes some measure to all other elements |
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86 |
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87 def spectralClustering(similarityMatrix, k, iter=20): |
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88 '''Spectral Clustering algorithm''' |
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89 n = len(similarityMatrix) |
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90 # create Laplacian matrix |
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91 rowsum = np.sum(similarityMatrix,axis=0) |
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92 D = np.diag(1 / np.sqrt(rowsum)) |
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93 I = np.identity(n) |
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94 L = I - np.dot(D,np.dot(similarityMatrix,D)) |
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95 # compute eigenvectors of L |
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96 U,sigma,V = np.linalg.svd(L) |
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97 # create feature vector from k first eigenvectors |
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98 # by stacking eigenvectors as columns |
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99 features = np.array(V[:k]).T |
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100 # k-means |
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101 from scipy.cluster.vq import kmeans, whiten, vq |
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102 features = whiten(features) |
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103 centroids,distortion = kmeans(features,k, iter) |
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104 code,distance = vq(features,centroids) # code starting from 0 (represent first cluster) to k-1 (last cluster) |
309 | 105 return code,sigma |