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annotate baseline/conv_mlp/convolutional_mlp.py @ 169:d37c944133c3

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author Dumitru Erhan <dumitru.erhan@gmail.com>
date Fri, 26 Feb 2010 14:24:11 -0500
parents baseline_algorithms/conv_mlp/convolutional_mlp.py@17ae5a1a4dd1
children 168aae8a6419
rev   line source
146
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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 pylearn.datasets.MNIST
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28 from pylearn.io import filetensor as ft
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29 from theano.sandbox import conv, downsample
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30
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31 class LeNetConvPoolLayer(object):
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32
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33 def __init__(self, rng, input, filter_shape, image_shape, poolsize=(2,2)):
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34 """
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35 Allocate a LeNetConvPoolLayer with shared variable internal parameters.
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36 :type rng: numpy.random.RandomState
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37 :param rng: a random number generator used to initialize weights
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38 :type input: theano.tensor.dtensor4
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39 :param input: symbolic image tensor, of shape image_shape
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40 :type filter_shape: tuple or list of length 4
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41 :param filter_shape: (number of filters, num input feature maps,
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42 filter height,filter width)
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43 :type image_shape: tuple or list of length 4
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44 :param image_shape: (batch size, num input feature maps,
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45 image height, image width)
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46 :type poolsize: tuple or list of length 2
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47 :param poolsize: the downsampling (pooling) factor (#rows,#cols)
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48 """
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49 assert image_shape[1]==filter_shape[1]
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50 self.input = input
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51
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52 # initialize weight values: the fan-in of each hidden neuron is
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53 # restricted by the size of the receptive fields.
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54 fan_in = numpy.prod(filter_shape[1:])
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55 W_values = numpy.asarray( rng.uniform( \
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56 low = -numpy.sqrt(3./fan_in), \
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57 high = numpy.sqrt(3./fan_in), \
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58 size = filter_shape), dtype = theano.config.floatX)
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59 self.W = theano.shared(value = W_values)
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60
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61 # the bias is a 1D tensor -- one bias per output feature map
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62 b_values = numpy.zeros((filter_shape[0],), dtype= theano.config.floatX)
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63 self.b = theano.shared(value= b_values)
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64
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65 # convolve input feature maps with filters
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66 conv_out = conv.conv2d(input, self.W,
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67 filter_shape=filter_shape, image_shape=image_shape)
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68
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69 # downsample each feature map individually, using maxpooling
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70 pooled_out = downsample.max_pool2D(conv_out, poolsize, ignore_border=True)
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71
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72 # add the bias term. Since the bias is a vector (1D array), we first
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73 # reshape it to a tensor of shape (1,n_filters,1,1). Each bias will thus
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74 # be broadcasted across mini-batches and feature map width & height
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75 self.output = T.tanh(pooled_out + self.b.dimshuffle('x', 0, 'x', 'x'))
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76
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77 # store parameters of this layer
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78 self.params = [self.W, self.b]
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79
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80
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81 class SigmoidalLayer(object):
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82 def __init__(self, rng, input, n_in, n_out):
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83 """
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84 Typical hidden layer of a MLP: units are fully-connected and have
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85 sigmoidal activation function. Weight matrix W is of shape (n_in,n_out)
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86 and the bias vector b is of shape (n_out,).
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87
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88 Hidden unit activation is given by: sigmoid(dot(input,W) + b)
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89
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90 :type rng: numpy.random.RandomState
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91 :param rng: a random number generator used to initialize weights
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92 :type input: theano.tensor.dmatrix
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93 :param input: a symbolic tensor of shape (n_examples, n_in)
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94 :type n_in: int
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95 :param n_in: dimensionality of input
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96 :type n_out: int
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97 :param n_out: number of hidden units
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98 """
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99 self.input = input
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100
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101 W_values = numpy.asarray( rng.uniform( \
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102 low = -numpy.sqrt(6./(n_in+n_out)), \
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103 high = numpy.sqrt(6./(n_in+n_out)), \
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104 size = (n_in, n_out)), dtype = theano.config.floatX)
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105 self.W = theano.shared(value = W_values)
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106
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107 b_values = numpy.zeros((n_out,), dtype= theano.config.floatX)
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108 self.b = theano.shared(value= b_values)
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109
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110 self.output = T.tanh(T.dot(input, self.W) + self.b)
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111 self.params = [self.W, self.b]
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112
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113
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114 class LogisticRegression(object):
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115 """Multi-class Logistic Regression Class
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116
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117 The logistic regression is fully described by a weight matrix :math:`W`
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118 and bias vector :math:`b`. Classification is done by projecting data
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119 points onto a set of hyperplanes, the distance to which is used to
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120 determine a class membership probability.
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121 """
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122
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123 def __init__(self, input, n_in, n_out):
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124 """ Initialize the parameters of the logistic regression
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125 :param input: symbolic variable that describes the input of the
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126 architecture (one minibatch)
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127 :type n_in: int
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128 :param n_in: number of input units, the dimension of the space in
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129 which the datapoints lie
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130 :type n_out: int
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131 :param n_out: number of output units, the dimension of the space in
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132 which the labels lie
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133 """
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134
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135 # initialize with 0 the weights W as a matrix of shape (n_in, n_out)
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136 self.W = theano.shared( value=numpy.zeros((n_in,n_out),
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137 dtype = theano.config.floatX) )
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138 # initialize the baises b as a vector of n_out 0s
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139 self.b = theano.shared( value=numpy.zeros((n_out,),
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140 dtype = theano.config.floatX) )
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141 # compute vector of class-membership probabilities in symbolic form
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142 self.p_y_given_x = T.nnet.softmax(T.dot(input, self.W)+self.b)
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143
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144 # compute prediction as class whose probability is maximal in
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145 # symbolic form
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146 self.y_pred=T.argmax(self.p_y_given_x, axis=1)
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147
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148 # list of parameters for this layer
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149 self.params = [self.W, self.b]
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150
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151 def negative_log_likelihood(self, y):
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152 """Return the mean of the negative log-likelihood of the prediction
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153 of this model under a given target distribution.
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154 :param y: corresponds to a vector that gives for each example the
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155 correct label
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156 Note: we use the mean instead of the sum so that
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157 the learning rate is less dependent on the batch size
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158 """
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159 return -T.mean(T.log(self.p_y_given_x)[T.arange(y.shape[0]),y])
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160
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161 def errors(self, y):
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162 """Return a float representing the number of errors in the minibatch
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163 over the total number of examples of the minibatch ; zero one
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164 loss over the size of the minibatch
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165 """
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166 # check if y has same dimension of y_pred
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167 if y.ndim != self.y_pred.ndim:
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168 raise TypeError('y should have the same shape as self.y_pred',
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169 ('y', target.type, 'y_pred', self.y_pred.type))
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170
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171 # check if y is of the correct datatype
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172 if y.dtype.startswith('int'):
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173 # the T.neq operator returns a vector of 0s and 1s, where 1
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174 # represents a mistake in prediction
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175 return T.mean(T.neq(self.y_pred, y))
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176 else:
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177 raise NotImplementedError()
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178
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179
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180 def load_dataset(fname,batch=20):
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181
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182 # repertoire qui contient les donnees NIST
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183 # le repertoire suivant va fonctionner si vous etes connecte sur un ordinateur
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184 # du reseau DIRO
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185 datapath = '/data/lisa/data/nist/by_class/'
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186 # le fichier .ft contient chiffres NIST dans un format efficace. Les chiffres
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187 # sont stockes dans une matrice de NxD, ou N est le nombre d'images, est D est
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188 # le nombre de pixels par image (32x32 = 1024). Chaque pixel de l'image est une
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189 # valeur entre 0 et 255, correspondant a un niveau de gris. Les valeurs sont
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190 # stockees comme des uint8, donc des bytes.
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191 f = open(datapath+'digits/digits_train_data.ft')
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192 # Verifier que vous avez assez de memoire pour loader les donnees au complet
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193 # dans le memoire. Sinon, utilisez ft.arraylike, une classe construite
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194 # specialement pour des fichiers qu'on ne souhaite pas loader dans RAM.
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195 d = ft.read(f)
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196
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197 # NB: N'oubliez pas de diviser les valeurs des pixels par 255. si jamais vous
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198 # utilisez les donnees commes entrees dans un reseaux de neurones et que vous
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199 # voulez des entres entre 0 et 1.
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200 # digits_train_data.ft contient les images, digits_train_labels.ft contient les
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201 # etiquettes
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202 f = open(datapath+'digits/digits_train_labels.ft')
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203 labels = ft.read(f)
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204
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205
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206 # Load the dataset
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207 #f = gzip.open(fname,'rb')
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208 #train_set, valid_set, test_set = cPickle.load(f)
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209 #f.close()
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210
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211 # make minibatches of size 20
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212 batch_size = batch # sized of the minibatch
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213
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214 # Dealing with the training set
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215 # get the list of training images (x) and their labels (y)
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216 (train_set_x, train_set_y) = (d[:4000,:],labels[:4000])
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217 # initialize the list of training minibatches with empty list
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218 train_batches = []
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219 for i in xrange(0, len(train_set_x), batch_size):
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220 # add to the list of minibatches the minibatch starting at
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221 # position i, ending at position i+batch_size
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222 # a minibatch is a pair ; the first element of the pair is a list
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223 # of datapoints, the second element is the list of corresponding
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224 # labels
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225 train_batches = train_batches + \
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226 [(train_set_x[i:i+batch_size], train_set_y[i:i+batch_size])]
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227
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228 #print train_batches[500]
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229
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230 # Dealing with the validation set
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231 (valid_set_x, valid_set_y) = (d[4000:5000,:],labels[4000:5000])
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232 # initialize the list of validation minibatches
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233 valid_batches = []
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234 for i in xrange(0, len(valid_set_x), batch_size):
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235 valid_batches = valid_batches + \
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236 [(valid_set_x[i:i+batch_size], valid_set_y[i:i+batch_size])]
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237
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238 # Dealing with the testing set
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239 (test_set_x, test_set_y) = (d[5000:6000,:],labels[5000:6000])
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240 # initialize the list of testing minibatches
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241 test_batches = []
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242 for i in xrange(0, len(test_set_x), batch_size):
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243 test_batches = test_batches + \
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244 [(test_set_x[i:i+batch_size], test_set_y[i:i+batch_size])]
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245
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246 return train_batches, valid_batches, test_batches
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247
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248
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249 def evaluate_lenet5(learning_rate=0.1, n_iter=1, batch_size=20, n_kern0=20,n_kern1=50,filter_shape=5,n_layer=3, dataset='mnist.pkl.gz'):
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250 rng = numpy.random.RandomState(23455)
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251
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252 print 'Before load dataset'
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253 train_batches, valid_batches, test_batches = load_dataset(dataset,batch_size)
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254 print 'After load dataset'
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255
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256 ishape = (32,32) # this is the size of NIST images
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257 n_kern2=80
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258
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259 # allocate symbolic variables for the data
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260 x = T.matrix('x') # rasterized images
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261 y = T.lvector() # the labels are presented as 1D vector of [long int] labels
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262
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263
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264 ######################
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265 # BUILD ACTUAL MODEL #
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266 ######################
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267
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268 # Reshape matrix of rasterized images of shape (batch_size,28*28)
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269 # to a 4D tensor, compatible with our LeNetConvPoolLayer
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270 layer0_input = x.reshape((batch_size,1,32,32))
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271
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272 # Construct the first convolutional pooling layer:
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273 # filtering reduces the image size to (32-5+1,32-5+1)=(28,28)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
274 # maxpooling reduces this further to (28/2,28/2) = (14,14)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
275 # 4D output tensor is thus of shape (20,20,14,14)
33038ab4e799 Reseau a convolution
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parents:
diff changeset
276 layer0 = LeNetConvPoolLayer(rng, input=layer0_input,
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parents:
diff changeset
277 image_shape=(batch_size,1,32,32),
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
278 filter_shape=(n_kern0,1,filter_shape,filter_shape), poolsize=(2,2))
33038ab4e799 Reseau a convolution
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parents:
diff changeset
279
33038ab4e799 Reseau a convolution
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parents:
diff changeset
280 if(n_layer>2):
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
281
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
282 # Construct the second convolutional pooling layer
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
283 # filtering reduces the image size to (14-5+1,14-5+1)=(10,10)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
284 # maxpooling reduces this further to (10/2,10/2) = (5,5)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
285 # 4D output tensor is thus of shape (20,50,5,5)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
286 fshape=(32-filter_shape+1)/2
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
287 layer1 = LeNetConvPoolLayer(rng, input=layer0.output,
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
288 image_shape=(batch_size,n_kern0,fshape,fshape),
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
289 filter_shape=(n_kern1,n_kern0,filter_shape,filter_shape), poolsize=(2,2))
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
290
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
291 else:
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
292
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
293 fshape=(32-filter_shape+1)/2
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
294 layer1_input = layer0.output.flatten(2)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
295 # construct a fully-connected sigmoidal layer
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
296 layer1 = SigmoidalLayer(rng, input=layer1_input,n_in=n_kern0*fshape*fshape, n_out=500)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
297
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298 layer2 = LogisticRegression(input=layer1.output, n_in=500, n_out=10)
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parents:
diff changeset
299 cost = layer2.negative_log_likelihood(y)
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diff changeset
300 test_model = theano.function([x,y], layer2.errors(y))
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diff changeset
301 params = layer2.params+ layer1.params + layer0.params
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302
33038ab4e799 Reseau a convolution
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parents:
diff changeset
303
33038ab4e799 Reseau a convolution
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parents:
diff changeset
304 if(n_layer>3):
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
305
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
306 fshape=(32-filter_shape+1)/2
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
307 fshape2=(fshape-filter_shape+1)/2
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
308 fshape3=(fshape2-filter_shape+1)/2
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Jeremy Eustache <jeremy.eustache@voila.fr>
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diff changeset
309 layer2 = LeNetConvPoolLayer(rng, input=layer1.output,
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diff changeset
310 image_shape=(batch_size,n_kern1,fshape2,fshape2),
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
311 filter_shape=(n_kern2,n_kern1,filter_shape,filter_shape), poolsize=(2,2))
33038ab4e799 Reseau a convolution
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parents:
diff changeset
312
33038ab4e799 Reseau a convolution
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parents:
diff changeset
313 layer3_input = layer2.output.flatten(2)
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parents:
diff changeset
314
33038ab4e799 Reseau a convolution
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diff changeset
315 layer3 = SigmoidalLayer(rng, input=layer3_input,
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
316 n_in=n_kern2*fshape3*fshape3, n_out=500)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
317
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
318
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
319 layer4 = LogisticRegression(input=layer3.output, n_in=500, n_out=10)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
320
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
321 cost = layer4.negative_log_likelihood(y)
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parents:
diff changeset
322
33038ab4e799 Reseau a convolution
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parents:
diff changeset
323 test_model = theano.function([x,y], layer4.errors(y))
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parents:
diff changeset
324
33038ab4e799 Reseau a convolution
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diff changeset
325 params = layer4.params+ layer3.params+ layer2.params+ layer1.params + layer0.params
33038ab4e799 Reseau a convolution
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parents:
diff changeset
326
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
327
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
328 elif(n_layer>2):
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
329
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
330 fshape=(32-filter_shape+1)/2
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
331 fshape2=(fshape-filter_shape+1)/2
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
332
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
333 # the SigmoidalLayer being fully-connected, it operates on 2D matrices of
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
334 # shape (batch_size,num_pixels) (i.e matrix of rasterized images).
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
335 # This will generate a matrix of shape (20,32*4*4) = (20,512)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
336 layer2_input = layer1.output.flatten(2)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
337
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
338 # construct a fully-connected sigmoidal layer
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
339 layer2 = SigmoidalLayer(rng, input=layer2_input,
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
340 n_in=n_kern1*fshape2*fshape2, n_out=500)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
341
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
342
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
343 # classify the values of the fully-connected sigmoidal layer
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
344 layer3 = LogisticRegression(input=layer2.output, n_in=500, n_out=10)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
345
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
346 # the cost we minimize during training is the NLL of the model
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
347 cost = layer3.negative_log_likelihood(y)
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
348
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
349 # create a function to compute the mistakes that are made by the model
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
350 test_model = theano.function([x,y], layer3.errors(y))
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
351
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
352 # create a list of all model parameters to be fit by gradient descent
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
353 params = layer3.params+ layer2.params+ layer1.params + layer0.params
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
354
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
355
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
356
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
357
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
358
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
359 # create a list of gradients for all model parameters
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
360 grads = T.grad(cost, params)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
361
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
362 # train_model is a function that updates the model parameters by SGD
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
363 # Since this model has many parameters, it would be tedious to manually
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
364 # create an update rule for each model parameter. We thus create the updates
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
365 # dictionary by automatically looping over all (params[i],grads[i]) pairs.
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
366 updates = {}
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
367 for param_i, grad_i in zip(params, grads):
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
368 updates[param_i] = param_i - learning_rate * grad_i
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
369 train_model = theano.function([x, y], cost, updates=updates)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
370
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
371
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
372 ###############
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
373 # TRAIN MODEL #
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
374 ###############
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
375
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
376 n_minibatches = len(train_batches)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
377
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
378 # early-stopping parameters
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
379 patience = 10000 # look as this many examples regardless
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
380 patience_increase = 2 # wait this much longer when a new best is
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
381 # found
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
382 improvement_threshold = 0.995 # a relative improvement of this much is
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
383 # considered significant
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
384 validation_frequency = n_minibatches # go through this many
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
385 # minibatche before checking the network
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
386 # on the validation set; in this case we
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
387 # check every epoch
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
388
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
389 best_params = None
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
390 best_validation_loss = float('inf')
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
391 best_iter = 0
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
392 test_score = 0.
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
393 start_time = time.clock()
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
394
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
395 # have a maximum of `n_iter` iterations through the entire dataset
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
396 for iter in xrange(n_iter * n_minibatches):
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
397
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
398 # get epoch and minibatch index
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
399 epoch = iter / n_minibatches
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
400 minibatch_index = iter % n_minibatches
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
401
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
402 # get the minibatches corresponding to `iter` modulo
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
403 # `len(train_batches)`
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
404 x,y = train_batches[ minibatch_index ]
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
405
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
406 if iter %100 == 0:
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
407 print 'training @ iter = ', iter
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
408 cost_ij = train_model(x,y)
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
409
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
410 if (iter+1) % validation_frequency == 0:
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
411
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
412 # compute zero-one loss on validation set
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
413 this_validation_loss = 0.
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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414 for x,y in valid_batches:
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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415 # sum up the errors for each minibatch
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Jeremy Eustache <jeremy.eustache@voila.fr>
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416 this_validation_loss += test_model(x,y)
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Jeremy Eustache <jeremy.eustache@voila.fr>
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417
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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418 # get the average by dividing with the number of minibatches
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Jeremy Eustache <jeremy.eustache@voila.fr>
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419 this_validation_loss /= len(valid_batches)
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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420 print('epoch %i, minibatch %i/%i, validation error %f %%' % \
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Jeremy Eustache <jeremy.eustache@voila.fr>
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421 (epoch, minibatch_index+1, n_minibatches, \
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
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422 this_validation_loss*100.))
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Jeremy Eustache <jeremy.eustache@voila.fr>
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423
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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424
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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425 # if we got the best validation score until now
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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426 if this_validation_loss < best_validation_loss:
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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427
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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428 #improve patience if loss improvement is good enough
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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429 if this_validation_loss < best_validation_loss * \
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Jeremy Eustache <jeremy.eustache@voila.fr>
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430 improvement_threshold :
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
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431 patience = max(patience, iter * patience_increase)
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Jeremy Eustache <jeremy.eustache@voila.fr>
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432
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
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433 # save best validation score and iteration number
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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434 best_validation_loss = this_validation_loss
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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435 best_iter = iter
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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436
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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437 # test it on the test set
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Jeremy Eustache <jeremy.eustache@voila.fr>
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438 test_score = 0.
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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439 for x,y in test_batches:
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Jeremy Eustache <jeremy.eustache@voila.fr>
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440 test_score += test_model(x,y)
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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441 test_score /= len(test_batches)
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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442 print((' epoch %i, minibatch %i/%i, test error of best '
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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443 'model %f %%') %
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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444 (epoch, minibatch_index+1, n_minibatches,
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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445 test_score*100.))
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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446
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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447 if patience <= iter :
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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448 break
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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449
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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450 end_time = time.clock()
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Jeremy Eustache <jeremy.eustache@voila.fr>
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451 print('Optimization complete.')
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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452 print('Best validation score of %f %% obtained at iteration %i,'\
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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453 'with test performance %f %%' %
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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454 (best_validation_loss * 100., best_iter, test_score*100.))
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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455 print('The code ran for %f minutes' % ((end_time-start_time)/60.))
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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456
33038ab4e799 Reseau a convolution
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parents:
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457 return (best_validation_loss * 100., test_score*100., (end_time-start_time)/60., best_iter)
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parents:
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458
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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459 if __name__ == '__main__':
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parents:
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460 evaluate_lenet5()
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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461
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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462 def experiment(state, channel):
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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463 print 'start experiment'
33038ab4e799 Reseau a convolution
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parents:
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464 (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.filter_shape, state.n_layer)
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Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
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465 print 'end experiment'
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
466
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
467 state.best_validation_loss = best_validation_loss
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
468 state.test_score = test_score
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
469 state.minutes_trained = minutes_trained
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
470 state.iter = iter
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
471
33038ab4e799 Reseau a convolution
Jeremy Eustache <jeremy.eustache@voila.fr>
parents:
diff changeset
472 return channel.COMPLETE