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First non-crashing draft of LinearRegression
author Yoshua Bengio <bengioy@iro.umontreal.ca>
date Tue, 08 Jul 2008 17:49:44 -0400
parents eded3cb54930
children
rev   line source
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Yoshua Bengio <bengioy@iro.umontreal.ca>
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1 """
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2 A denoising auto-encoder
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3 """
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4
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5 import theano
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6 from theano.formula import *
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7 from learner import *
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8 from theano import tensor as t
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9 from nnet_ops import *
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10 import math
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11 from misc import *
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12 from misc_theano import *
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13 from theano.tensor_random import binomial
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14
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15 def hiding_corruption_formula(seed,average_fraction_hidden):
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16 """
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17 Return a formula for the corruption process, in which a random
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18 subset of the input numbers are hidden (mapped to 0).
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19
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20 @param seed: seed of the random generator
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21 @type seed: anything that numpy.random.RandomState accepts
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22
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23 @param average_fraction_hidden: the probability with which each
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24 input number is hidden (set to 0).
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25 @type average_fraction_hidden: 0 <= real number <= 1
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26 """
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27 class HidingCorruptionFormula(Formulas):
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28 x = t.matrix()
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29 corrupted_x = x * binomial(seed,x,1,fraction_sampled)
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30
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31 return HidingCorruptionFormula()
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32
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33 def squash_affine_formula(squash_function=sigmoid):
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34 """
218
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35 Simply does: squash_function(b + xW)
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36 By convention prefix the parameters by _
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37 """
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38 class SquashAffineFormula(Formulas):
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39 x = t.matrix() # of dimensions minibatch_size x n_inputs
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40 _b = t.row() # of dimensions 1 x n_outputs
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41 _W = t.matrix() # of dimensions n_inputs x n_outputs
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42 a = _b + t.dot(x,_W) # of dimensions minibatch_size x n_outputs
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43 y = squash_function(a)
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44 return SquashAffineFormula()
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45
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46 def gradient_descent_update_formula():
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47 class GradientDescentUpdateFormula(Formula):
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48 param = t.matrix()
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49 learning_rate = t.scalar()
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50 cost = t.column() # cost of each example in a minibatch
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51 param_update = t.add_inplace(param, -learning_rate*t.sgrad(cost))
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52 return gradient_descent_update_formula()
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53
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54 def probabilistic_classifier_loss_formula():
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55 class ProbabilisticClassifierLossFormula(Formulas):
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56 a = t.matrix() # of dimensions minibatch_size x n_classes, pre-softmax output
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57 target_class = t.ivector() # dimension (minibatch_size)
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58 nll, probability_predictions = crossentropy_softmax_1hot(a, target_class) # defined in nnet_ops.py
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59 return ProbabilisticClassifierLossFormula()
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60
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61 def binomial_cross_entropy_formula():
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62 class BinomialCrossEntropyFormula(Formulas):
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63 a = t.matrix() # pre-sigmoid activations, minibatch_size x dim
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64 p = sigmoid(a) # model prediction
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65 q = t.matrix() # target binomial probabilities, minibatch_size x dim
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66 # using the identity softplus(a) - softplus(-a) = a,
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67 # we obtain that q log(p) + (1-q) log(1-p) = q a - softplus(a)
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68 nll = -t.sum(q*a - softplus(-a))
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69 # next line was missing... hope it's all correct above
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70 return BinomialCrossEntropyFormula()
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71
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72 def squash_affine_autoencoder_formula(hidden_squash=t.tanh,
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73 reconstruction_squash=sigmoid,
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74 share_weights=True,
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75 reconstruction_nll_formula=binomial_cross_entropy_formula(),
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76 update_formula=gradient_descent_update_formula):
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77 if share_weights:
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78 autoencoder = squash_affine_formula(hidden_squash).rename(a='code_a') + \
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79 squash_affine_formula(reconstruction_squash).rename(x='hidden',y='reconstruction',_b='_c') + \
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80 reconstruction_nll_formula
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81 else:
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82 autoencoder = squash_affine_formula(hidden_squash).rename(a='code_a',_W='_W1') + \
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83 squash_affine_formula(reconstruction_squash).rename(x='hidden',y='reconstruction',_b='_c',_W='_W2') + \
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84 reconstruction_nll_formula
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85 autoencoder = autoencoder + [update_formula().rename(cost = 'nll',
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86 param = p)
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87 for p in autoencoder.get_all('_.*')]
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88 return autoencoder
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89
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90
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91 # @todo: try other corruption formulae. The above is the default one.
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92 # not quite used in the ICML paper... (had a fixed number of 0s).
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93
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94 class DenoisingAutoEncoder(LearningAlgorithm):
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95
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96 def __init__(self,n_inputs,n_hidden_per_layer,
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97 learning_rate=0.1,
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98 max_n_epochs=100,
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99 L1_regularizer=0,
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100 init_range=1.,
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101 corruption_formula = hiding_corruption_formula(),
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102 autoencoder = squash_affine_autoencoder_formula(),
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103 minibatch_size=None,linker = "c|py"):
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104 for name,val in locals().items():
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105 if val is not self: self.__setattribute__(name,val)
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106 self.denoising_autoencoder_formula = corruption_formula + autoencoder.rename(x='corrupted_x')
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107
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108 def __call__(self, training_set=None):
299
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109 """ Allocate and optionnaly train a model
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110
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111 @TODO enables passing in training and valid sets, instead of cutting one set in 80/20
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112 """
210
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113 model = DenoisingAutoEncoderModel(self)
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114 if training_set:
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115 print 'DenoisingAutoEncoder(): what do I do if training_set????'
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116 # copied from old mlp_factory_approach:
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117 if len(trainset) == sys.maxint:
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118 raise NotImplementedError('Learning from infinite streams is not supported')
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119 nval = int(self.validation_portion * len(trainset))
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120 nmin = len(trainset) - nval
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121 assert nmin >= 0
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122 minset = trainset[:nmin] #real training set for minimizing loss
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123 valset = trainset[nmin:] #validation set for early stopping
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124 best = model
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125 for stp in self.early_stopper():
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126 model.update(
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127 minset.minibatches([input, target], minibatch_size=min(32,
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128 len(trainset))))
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129 #print 'mlp.__call__(), we did an update'
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130 if stp.set_score:
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131 stp.score = model(valset, ['loss_01'])
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132 if (stp.score < stp.best_score):
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133 best = copy.copy(model)
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134 model = best
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135 # end of the copy from mlp_factory_approach
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136
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137 return model
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138
210
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139
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140 def compile(self, inputs, outputs):
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141 return theano.function(inputs,outputs,unpack_single=False,linker=self.linker)
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142
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143 class DenoisingAutoEncoderModel(LearnerModel):
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144 def __init__(self,learning_algorithm,params):
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145 self.learning_algorithm=learning_algorithm
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146 self.params=params
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147 v = learning_algorithm.v
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148 self.update_fn = learning_algorithm.compile(learning_algorithm.denoising_autoencoder_formula.inputs,
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149 learning_algorithm.denoising_autoencoder_formula.outputs)
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150
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151 def update(self, training_set, train_stats_collector=None):
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152
211
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153 print 'dont update you crazy frog!'
210
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154
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155 # old stuff
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156
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157 # self._learning_rate = t.scalar('learning_rate') # this is the symbol
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158 # self.L1_regularizer = L1_regularizer
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159 # self._L1_regularizer = t.scalar('L1_regularizer')
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160 # self._input = t.matrix('input') # n_examples x n_inputs
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161 # self._W = t.matrix('W')
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162 # self._b = t.row('b')
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163 # self._c = t.row('b')
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164 # self._regularization_term = self._L1_regularizer * t.sum(t.abs(self._W))
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165 # self._corrupted_input = corruption_process(self._input)
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166 # self._hidden = t.tanh(self._b + t.dot(self._input, self._W.T))
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167 # self._reconstruction_activations =self._c+t.dot(self._hidden,self._W)
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168 # self._nll,self._output = crossentropy_softmax_1hot(Print("output_activations")(self._output_activations),self._target_vector)
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169 # self._output_class = t.argmax(self._output,1)
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170 # self._class_error = t.neq(self._output_class,self._target_vector)
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171 # self._minibatch_criterion = self._nll + self._regularization_term / t.shape(self._input)[0]
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172 # OnlineGradientTLearner.__init__(self)
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173
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174 # def attributeNames(self):
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175 # return ["parameters","b1","W2","b2","W2", "L2_regularizer","regularization_term"]
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176
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177 # def parameterAttributes(self):
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178 # return ["b1","W1", "b2", "W2"]
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179
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180 # def updateMinibatchInputFields(self):
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181 # return ["input","target"]
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182
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183 # def updateEndOutputAttributes(self):
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184 # return ["regularization_term"]
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185
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186 # def lossAttribute(self):
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187 # return "minibatch_criterion"
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188
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189 # def defaultOutputFields(self, input_fields):
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190 # output_fields = ["output", "output_class",]
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191 # if "target" in input_fields:
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192 # output_fields += ["class_error", "nll"]
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193 # return output_fields
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194
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195 # def allocate(self,minibatch):
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196 # minibatch_n_inputs = minibatch["input"].shape[1]
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197 # if not self._n_inputs:
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198 # self._n_inputs = minibatch_n_inputs
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199 # self.b1 = numpy.zeros((1,self._n_hidden))
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200 # self.b2 = numpy.zeros((1,self._n_outputs))
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201 # self.forget()
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202 # elif self._n_inputs!=minibatch_n_inputs:
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203 # # if the input changes dimension on the fly, we resize and forget everything
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204 # self.forget()
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205
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206 # def forget(self):
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207 # if self._n_inputs:
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208 # r = self._init_range/math.sqrt(self._n_inputs)
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209 # self.W1 = numpy.random.uniform(low=-r,high=r,
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210 # size=(self._n_hidden,self._n_inputs))
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211 # r = self._init_range/math.sqrt(self._n_hidden)
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212 # self.W2 = numpy.random.uniform(low=-r,high=r,
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213 # size=(self._n_outputs,self._n_hidden))
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214 # self.b1[:]=0
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215 # self.b2[:]=0
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216 # self._n_epochs=0
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217
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218 # def isLastEpoch(self):
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219 # self._n_epochs +=1
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220 # return self._n_epochs>=self._max_n_epochs