Mercurial > ift6266
annotate baseline/conv_mlp/convolutional_mlp.py @ 476:db28764b8252
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author | fsavard |
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date | Sun, 30 May 2010 12:06:45 -0400 |
parents | d41fe003fade |
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1 """ |
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2 This tutorial introduces the LeNet5 neural network architecture using Theano. LeNet5 is a |
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3 convolutional neural network, good for classifying images. This tutorial shows how to build the |
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4 architecture, and comes with all the hyper-parameters you need to reproduce the paper's MNIST |
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5 results. |
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6 |
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7 The best results are obtained after X iterations of the main program loop, which takes *** |
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8 minutes on my workstation (an Intel Core i7, circa July 2009), and *** minutes on my GPU (an |
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9 NVIDIA GTX 285 graphics processor). |
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10 |
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11 This implementation simplifies the model in the following ways: |
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12 |
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13 - LeNetConvPool doesn't implement location-specific gain and bias parameters |
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14 - LeNetConvPool doesn't implement pooling by average, it implements pooling by max. |
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15 - Digit classification is implemented with a logistic regression rather than an RBF network |
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16 - LeNet5 was not fully-connected convolutions at second layer |
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17 |
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18 References: |
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19 - Y. LeCun, L. Bottou, Y. Bengio and P. Haffner: Gradient-Based Learning Applied to Document |
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20 Recognition, Proceedings of the IEEE, 86(11):2278-2324, November 1998. |
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21 http://yann.lecun.com/exdb/publis/pdf/lecun-98.pdf |
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22 """ |
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23 |
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24 import numpy, theano, cPickle, gzip, time |
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25 import theano.tensor as T |
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26 import theano.sandbox.softsign |
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27 import sys |
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28 import pylearn.datasets.MNIST |
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29 from pylearn.io import filetensor as ft |
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30 from theano.sandbox import conv, downsample |
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31 |
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32 from ift6266 import datasets |
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33 import theano,pylearn.version,ift6266 |
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34 |
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35 class LeNetConvPoolLayer(object): |
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36 |
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37 def __init__(self, rng, input, filter_shape, image_shape, poolsize=(2,2)): |
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38 """ |
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39 Allocate a LeNetConvPoolLayer with shared variable internal parameters. |
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40 :type rng: numpy.random.RandomState |
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41 :param rng: a random number generator used to initialize weights |
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42 :type input: theano.tensor.dtensor4 |
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43 :param input: symbolic image tensor, of shape image_shape |
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44 :type filter_shape: tuple or list of length 4 |
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45 :param filter_shape: (number of filters, num input feature maps, |
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46 filter height,filter width) |
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47 :type image_shape: tuple or list of length 4 |
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48 :param image_shape: (batch size, num input feature maps, |
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49 image height, image width) |
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50 :type poolsize: tuple or list of length 2 |
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51 :param poolsize: the downsampling (pooling) factor (#rows,#cols) |
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52 """ |
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53 assert image_shape[1]==filter_shape[1] |
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54 self.input = input |
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55 |
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56 # initialize weight values: the fan-in of each hidden neuron is |
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57 # restricted by the size of the receptive fields. |
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58 fan_in = numpy.prod(filter_shape[1:]) |
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59 W_values = numpy.asarray( rng.uniform( \ |
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60 low = -numpy.sqrt(3./fan_in), \ |
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61 high = numpy.sqrt(3./fan_in), \ |
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62 size = filter_shape), dtype = theano.config.floatX) |
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63 self.W = theano.shared(value = W_values) |
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64 |
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65 # the bias is a 1D tensor -- one bias per output feature map |
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66 b_values = numpy.zeros((filter_shape[0],), dtype= theano.config.floatX) |
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67 self.b = theano.shared(value= b_values) |
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68 |
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69 # convolve input feature maps with filters |
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70 conv_out = conv.conv2d(input, self.W, |
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71 filter_shape=filter_shape, image_shape=image_shape) |
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72 |
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73 # downsample each feature map individually, using maxpooling |
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74 pooled_out = downsample.max_pool2D(conv_out, poolsize, ignore_border=True) |
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75 |
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76 # add the bias term. Since the bias is a vector (1D array), we first |
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77 # reshape it to a tensor of shape (1,n_filters,1,1). Each bias will thus |
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78 # be broadcasted across mini-batches and feature map width & height |
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79 self.output = T.tanh(pooled_out + self.b.dimshuffle('x', 0, 'x', 'x')) |
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80 |
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81 # store parameters of this layer |
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82 self.params = [self.W, self.b] |
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83 |
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84 |
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85 class SigmoidalLayer(object): |
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86 def __init__(self, rng, input, n_in, n_out): |
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87 """ |
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88 Typical hidden layer of a MLP: units are fully-connected and have |
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89 sigmoidal activation function. Weight matrix W is of shape (n_in,n_out) |
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90 and the bias vector b is of shape (n_out,). |
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91 |
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92 Hidden unit activation is given by: sigmoid(dot(input,W) + b) |
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93 |
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94 :type rng: numpy.random.RandomState |
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95 :param rng: a random number generator used to initialize weights |
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96 :type input: theano.tensor.dmatrix |
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97 :param input: a symbolic tensor of shape (n_examples, n_in) |
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98 :type n_in: int |
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99 :param n_in: dimensionality of input |
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100 :type n_out: int |
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101 :param n_out: number of hidden units |
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102 """ |
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103 self.input = input |
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104 |
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105 W_values = numpy.asarray( rng.uniform( \ |
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106 low = -numpy.sqrt(6./(n_in+n_out)), \ |
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107 high = numpy.sqrt(6./(n_in+n_out)), \ |
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108 size = (n_in, n_out)), dtype = theano.config.floatX) |
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109 self.W = theano.shared(value = W_values) |
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110 |
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111 b_values = numpy.zeros((n_out,), dtype= theano.config.floatX) |
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112 self.b = theano.shared(value= b_values) |
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113 |
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114 self.output = T.tanh(T.dot(input, self.W) + self.b) |
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115 self.params = [self.W, self.b] |
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116 |
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117 |
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118 class LogisticRegression(object): |
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119 """Multi-class Logistic Regression Class |
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120 |
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121 The logistic regression is fully described by a weight matrix :math:`W` |
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122 and bias vector :math:`b`. Classification is done by projecting data |
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123 points onto a set of hyperplanes, the distance to which is used to |
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124 determine a class membership probability. |
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125 """ |
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126 |
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127 def __init__(self, input, n_in, n_out): |
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128 """ Initialize the parameters of the logistic regression |
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129 :param input: symbolic variable that describes the input of the |
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130 architecture (one minibatch) |
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131 :type n_in: int |
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132 :param n_in: number of input units, the dimension of the space in |
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133 which the datapoints lie |
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134 :type n_out: int |
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135 :param n_out: number of output units, the dimension of the space in |
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136 which the labels lie |
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137 """ |
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138 |
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139 # initialize with 0 the weights W as a matrix of shape (n_in, n_out) |
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140 self.W = theano.shared( value=numpy.zeros((n_in,n_out), |
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141 dtype = theano.config.floatX) ) |
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142 # initialize the baises b as a vector of n_out 0s |
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143 self.b = theano.shared( value=numpy.zeros((n_out,), |
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144 dtype = theano.config.floatX) ) |
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145 # compute vector of class-membership probabilities in symbolic form |
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146 self.p_y_given_x = T.nnet.softmax(T.dot(input, self.W)+self.b) |
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147 |
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148 # compute prediction as class whose probability is maximal in |
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149 # symbolic form |
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150 self.y_pred=T.argmax(self.p_y_given_x, axis=1) |
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151 |
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152 # list of parameters for this layer |
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153 self.params = [self.W, self.b] |
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154 |
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155 def negative_log_likelihood(self, y): |
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156 """Return the mean of the negative log-likelihood of the prediction |
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157 of this model under a given target distribution. |
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158 :param y: corresponds to a vector that gives for each example the |
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159 correct label |
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160 Note: we use the mean instead of the sum so that |
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161 the learning rate is less dependent on the batch size |
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162 """ |
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163 return -T.mean(T.log(self.p_y_given_x)[T.arange(y.shape[0]),y]) |
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164 |
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165 def errors(self, y): |
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166 """Return a float representing the number of errors in the minibatch |
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167 over the total number of examples of the minibatch ; zero one |
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168 loss over the size of the minibatch |
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169 """ |
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170 # check if y has same dimension of y_pred |
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171 if y.ndim != self.y_pred.ndim: |
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172 raise TypeError('y should have the same shape as self.y_pred', |
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173 ('y', target.type, 'y_pred', self.y_pred.type)) |
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174 |
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175 # check if y is of the correct datatype |
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176 if y.dtype.startswith('int'): |
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177 # the T.neq operator returns a vector of 0s and 1s, where 1 |
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178 # represents a mistake in prediction |
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179 return T.mean(T.neq(self.y_pred, y)) |
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180 else: |
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181 raise NotImplementedError() |
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182 |
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183 |
270
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184 def evaluate_lenet5(learning_rate=0.1, n_iter=200, batch_size=20, n_kern0=20, n_kern1=50, n_layer=3, filter_shape0=5, filter_shape1=5, sigmoide_size=500, dataset='mnist.pkl.gz'): |
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185 rng = numpy.random.RandomState(23455) |
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186 |
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187 print 'Before load dataset' |
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188 dataset=datasets.nist_digits |
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189 train_batches= dataset.train(batch_size) |
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190 valid_batches=dataset.valid(batch_size) |
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191 test_batches=dataset.test(batch_size) |
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192 #print valid_batches.shape |
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193 #print test_batches.shape |
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194 print 'After load dataset' |
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195 |
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196 ishape = (32,32) # this is the size of NIST images |
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197 n_kern2=80 |
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198 n_kern3=100 |
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199 if n_layer==4: |
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200 filter_shape1=3 |
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201 filter_shape2=3 |
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202 if n_layer==5: |
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203 filter_shape0=4 |
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204 filter_shape1=2 |
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205 filter_shape2=2 |
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206 filter_shape3=2 |
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207 |
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208 |
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209 # allocate symbolic variables for the data |
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210 x = T.matrix('x') # rasterized images |
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211 y = T.lvector() # the labels are presented as 1D vector of [long int] labels |
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212 |
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213 |
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214 ###################### |
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215 # BUILD ACTUAL MODEL # |
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216 ###################### |
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217 |
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218 # Reshape matrix of rasterized images of shape (batch_size,28*28) |
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219 # to a 4D tensor, compatible with our LeNetConvPoolLayer |
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220 layer0_input = x.reshape((batch_size,1,32,32)) |
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221 |
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222 # Construct the first convolutional pooling layer: |
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223 # filtering reduces the image size to (32-5+1,32-5+1)=(28,28) |
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224 # maxpooling reduces this further to (28/2,28/2) = (14,14) |
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225 # 4D output tensor is thus of shape (20,20,14,14) |
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226 layer0 = LeNetConvPoolLayer(rng, input=layer0_input, |
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227 image_shape=(batch_size,1,32,32), |
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228 filter_shape=(n_kern0,1,filter_shape0,filter_shape0), poolsize=(2,2)) |
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229 |
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230 if(n_layer>2): |
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231 |
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232 # Construct the second convolutional pooling layer |
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233 # filtering reduces the image size to (14-5+1,14-5+1)=(10,10) |
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234 # maxpooling reduces this further to (10/2,10/2) = (5,5) |
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235 # 4D output tensor is thus of shape (20,50,5,5) |
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236 fshape0=(32-filter_shape0+1)/2 |
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237 layer1 = LeNetConvPoolLayer(rng, input=layer0.output, |
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238 image_shape=(batch_size,n_kern0,fshape0,fshape0), |
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239 filter_shape=(n_kern1,n_kern0,filter_shape1,filter_shape1), poolsize=(2,2)) |
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240 |
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241 else: |
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242 |
253
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243 fshape0=(32-filter_shape0+1)/2 |
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244 layer1_input = layer0.output.flatten(2) |
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245 # construct a fully-connected sigmoidal layer |
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246 layer1 = SigmoidalLayer(rng, input=layer1_input,n_in=n_kern0*fshape0*fshape0, n_out=sigmoide_size) |
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247 |
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248 layer2 = LogisticRegression(input=layer1.output, n_in=sigmoide_size, n_out=10) |
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249 cost = layer2.negative_log_likelihood(y) |
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250 test_model = theano.function([x,y], layer2.errors(y)) |
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251 params = layer2.params+ layer1.params + layer0.params |
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252 |
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253 |
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254 if(n_layer>3): |
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255 |
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256 fshape0=(32-filter_shape0+1)/2 |
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257 fshape1=(fshape0-filter_shape1+1)/2 |
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258 layer2 = LeNetConvPoolLayer(rng, input=layer1.output, |
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259 image_shape=(batch_size,n_kern1,fshape1,fshape1), |
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260 filter_shape=(n_kern2,n_kern1,filter_shape2,filter_shape2), poolsize=(2,2)) |
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261 |
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262 if(n_layer>4): |
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263 |
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264 |
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265 fshape0=(32-filter_shape0+1)/2 |
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266 fshape1=(fshape0-filter_shape1+1)/2 |
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267 fshape2=(fshape1-filter_shape2+1)/2 |
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268 fshape3=(fshape2-filter_shape3+1)/2 |
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269 layer3 = LeNetConvPoolLayer(rng, input=layer2.output, |
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270 image_shape=(batch_size,n_kern2,fshape2,fshape2), |
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271 filter_shape=(n_kern3,n_kern2,filter_shape3,filter_shape3), poolsize=(2,2)) |
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272 |
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273 layer4_input = layer3.output.flatten(2) |
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274 |
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275 layer4 = SigmoidalLayer(rng, input=layer4_input, |
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276 n_in=n_kern3*fshape3*fshape3, n_out=sigmoide_size) |
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277 |
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278 |
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279 layer5 = LogisticRegression(input=layer4.output, n_in=sigmoide_size, n_out=10) |
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280 |
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281 cost = layer5.negative_log_likelihood(y) |
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282 |
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283 test_model = theano.function([x,y], layer5.errors(y)) |
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284 |
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285 params = layer5.params+ layer4.params+ layer3.params+ layer2.params+ layer1.params + layer0.params |
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286 |
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287 elif(n_layer>3): |
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288 |
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289 fshape0=(32-filter_shape0+1)/2 |
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290 fshape1=(fshape0-filter_shape1+1)/2 |
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291 fshape2=(fshape1-filter_shape2+1)/2 |
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292 layer3_input = layer2.output.flatten(2) |
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293 |
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294 layer3 = SigmoidalLayer(rng, input=layer3_input, |
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295 n_in=n_kern2*fshape2*fshape2, n_out=sigmoide_size) |
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296 |
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297 |
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298 layer4 = LogisticRegression(input=layer3.output, n_in=sigmoide_size, n_out=10) |
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299 |
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300 cost = layer4.negative_log_likelihood(y) |
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301 |
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302 test_model = theano.function([x,y], layer4.errors(y)) |
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303 |
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304 params = layer4.params+ layer3.params+ layer2.params+ layer1.params + layer0.params |
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305 |
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306 |
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307 elif(n_layer>2): |
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308 |
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309 fshape0=(32-filter_shape0+1)/2 |
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310 fshape1=(fshape0-filter_shape1+1)/2 |
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311 |
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312 # the SigmoidalLayer being fully-connected, it operates on 2D matrices of |
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313 # shape (batch_size,num_pixels) (i.e matrix of rasterized images). |
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314 # This will generate a matrix of shape (20,32*4*4) = (20,512) |
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315 layer2_input = layer1.output.flatten(2) |
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316 |
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317 # construct a fully-connected sigmoidal layer |
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318 layer2 = SigmoidalLayer(rng, input=layer2_input, |
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319 n_in=n_kern1*fshape1*fshape1, n_out=sigmoide_size) |
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320 |
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321 |
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322 # classify the values of the fully-connected sigmoidal layer |
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323 layer3 = LogisticRegression(input=layer2.output, n_in=sigmoide_size, n_out=10) |
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324 |
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325 # the cost we minimize during training is the NLL of the model |
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326 cost = layer3.negative_log_likelihood(y) |
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327 |
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328 # create a function to compute the mistakes that are made by the model |
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329 test_model = theano.function([x,y], layer3.errors(y)) |
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330 |
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331 # create a list of all model parameters to be fit by gradient descent |
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332 params = layer3.params+ layer2.params+ layer1.params + layer0.params |
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333 |
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334 |
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335 |
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336 |
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337 |
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338 # create a list of gradients for all model parameters |
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339 grads = T.grad(cost, params) |
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340 |
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341 # train_model is a function that updates the model parameters by SGD |
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342 # Since this model has many parameters, it would be tedious to manually |
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343 # create an update rule for each model parameter. We thus create the updates |
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344 # dictionary by automatically looping over all (params[i],grads[i]) pairs. |
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345 updates = {} |
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346 for param_i, grad_i in zip(params, grads): |
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347 updates[param_i] = param_i - learning_rate * grad_i |
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348 train_model = theano.function([x, y], cost, updates=updates) |
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349 |
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350 |
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351 ############### |
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352 # TRAIN MODEL # |
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353 ############### |
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354 |
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355 #n_minibatches = len(train_batches) |
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356 n_minibatches=0 |
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357 n_valid=0 |
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358 n_test=0 |
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359 for x, y in dataset.train(batch_size): |
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360 if x.shape[0] == batch_size: |
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361 n_minibatches+=1 |
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362 n_minibatches*=batch_size |
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363 print n_minibatches |
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364 |
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365 for x, y in dataset.valid(batch_size): |
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366 if x.shape[0] == batch_size: |
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367 n_valid+=1 |
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368 n_valid*=batch_size |
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369 print n_valid |
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370 |
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371 for x, y in dataset.test(batch_size): |
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372 if x.shape[0] == batch_size: |
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373 n_test+=1 |
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374 n_test*=batch_size |
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375 print n_test |
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376 |
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377 |
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378 # early-stopping parameters |
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379 patience = 10000 # look as this many examples regardless |
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380 patience_increase = 2 # wait this much longer when a new best is |
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381 # found |
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382 improvement_threshold = 0.995 # a relative improvement of this much is |
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383 # considered significant |
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384 validation_frequency = n_minibatches # go through this many |
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385 # minibatche before checking the network |
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386 # on the validation set; in this case we |
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387 # check every epoch |
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388 |
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389 best_params = None |
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390 best_validation_loss = float('inf') |
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391 best_iter = 0 |
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392 test_score = 0. |
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393 start_time = time.clock() |
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394 |
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395 |
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396 # have a maximum of `n_iter` iterations through the entire dataset |
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397 iter=0 |
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398 for epoch in xrange(n_iter): |
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399 for x, y in train_batches: |
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400 if x.shape[0] != batch_size: |
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401 continue |
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402 iter+=1 |
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403 |
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404 # get epoch and minibatch index |
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405 #epoch = iter / n_minibatches |
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406 minibatch_index = iter % n_minibatches |
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407 |
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408 if iter %100 == 0: |
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409 print 'training @ iter = ', iter |
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410 cost_ij = train_model(x,y) |
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411 |
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412 |
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413 # compute zero-one loss on validation set |
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414 this_validation_loss = 0. |
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415 for x,y in valid_batches: |
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416 if x.shape[0] != batch_size: |
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417 continue |
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418 # sum up the errors for each minibatch |
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419 this_validation_loss += test_model(x,y) |
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420 |
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421 # get the average by dividing with the number of minibatches |
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422 this_validation_loss /= n_valid |
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423 print('epoch %i, minibatch %i/%i, validation error %f %%' % \ |
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424 (epoch, minibatch_index+1, n_minibatches, \ |
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425 this_validation_loss*100.)) |
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426 |
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427 |
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428 # if we got the best validation score until now |
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429 if this_validation_loss < best_validation_loss: |
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430 |
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431 #improve patience if loss improvement is good enough |
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432 if this_validation_loss < best_validation_loss * \ |
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433 improvement_threshold : |
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434 patience = max(patience, iter * patience_increase) |
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435 |
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436 # save best validation score and iteration number |
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437 best_validation_loss = this_validation_loss |
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438 best_iter = iter |
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439 |
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440 # test it on the test set |
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441 test_score = 0. |
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442 for x,y in test_batches: |
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443 if x.shape[0] != batch_size: |
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444 continue |
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445 test_score += test_model(x,y) |
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446 test_score /= n_test |
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447 print((' epoch %i, minibatch %i/%i, test error of best ' |
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448 'model %f %%') % |
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449 (epoch, minibatch_index+1, n_minibatches, |
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450 test_score*100.)) |
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451 |
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452 if patience <= iter : |
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453 break |
146
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454 |
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455 end_time = time.clock() |
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456 print('Optimization complete.') |
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457 print('Best validation score of %f %% obtained at iteration %i,'\ |
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458 'with test performance %f %%' % |
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459 (best_validation_loss * 100., best_iter, test_score*100.)) |
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Reseau a convolution
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460 print('The code ran for %f minutes' % ((end_time-start_time)/60.)) |
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461 |
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462 return (best_validation_loss * 100., test_score*100., (end_time-start_time)/60., best_iter) |
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463 |
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464 if __name__ == '__main__': |
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465 evaluate_lenet5() |
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466 |
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467 def experiment(state, channel): |
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468 print 'start experiment' |
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469 (best_validation_loss, test_score, minutes_trained, iter) = evaluate_lenet5(state.learning_rate, state.n_iter, state.batch_size, state.n_kern0, state.n_kern1, state.n_layer, state.filter_shape0, state.filter_shape1,state.sigmoide_size) |
146
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470 print 'end experiment' |
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471 |
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472 pylearn.version.record_versions(state,[theano,ift6266,pylearn]) |
146
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473 |
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474 state.best_validation_loss = best_validation_loss |
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475 state.test_score = test_score |
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476 state.minutes_trained = minutes_trained |
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Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff
changeset
|
477 state.iter = iter |
33038ab4e799
Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff
changeset
|
478 |
33038ab4e799
Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff
changeset
|
479 return channel.COMPLETE |