annotate doc/v2_planning/datalearn.txt @ 1371:98d4232df1d8

comment on OD idea
author Razvan Pascanu <r.pascanu@gmail.com>
date Mon, 15 Nov 2010 16:28:02 -0500
parents 5785cbac3361
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1 DataLearn: How to plug Datasets & Learner together?
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2 ===================================================
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3
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4 Participants
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5 ------------
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6 - Yoshua
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7 - Razvan
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8 - Olivier D [leader]
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9
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10 High-Level Objectives
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11 ---------------------
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12
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13 * Simple ML experiments should be simple to write
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14 * More complex / advanced scenarios should be possible without being forced
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15 to work "outside" of this framework
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16 * Computations should be optimized whenever possible
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17 * Existing code (in any language) should be "wrappable" within this
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18 framework
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19 * It should be possible to replace [parts of] this framework with C++ code
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20
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21 Theano-Like Data Flow
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22 ---------------------
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23
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24 We want to rely on Theano to be able to take advantage of its efficient
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25 computations. The general idea is that if we chain multiple processing
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26 elements (think e.g. of a feature selection step followed by a PCA projection,
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27 then a rescaling within a fixed bounded interval), the overall transformation
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28 from input to output data can be represented by a Theano symbolic graph. When
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29 one wants to access the actual numeric data, a function is compiled so as to
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30 do these computations efficiently.
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31
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32 We discussed some specific API options for datasets and learners, which will
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33 be added to this file in the future, but a core question that we feel should
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34 be addressed first is how this Theano-based implementation could be achieved
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35 exactly. For this purpose, in the following, let us assume that a dataset is
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36 simply a matrix whose rows represent individual samples, and columns
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37 individual features. How to handle field names, non-tensor-like data, etc. is
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38 a very important topic that is not yet discussed in this file.
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39
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40 A question we did not discuss much is to which extent the architecture could
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41 be "theanified", i.e. whether a whole experiment could be defined as a Theano
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42 graph on which high level optimizations could be made possible, while also
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43 relying on Theano to "run" the graph. The other option is to use a different
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44 mechanism, with underlying Theano graphs being built wherever possible to link
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45 the various components of an experiment together.
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46
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47 For now, let us consider the latter option, where each dataset contains a
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48 pointer to a Theano variable that represents the data stored in this dataset.
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49 One issue with this approach is illustrated by the following example. Imagine
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50 we want to iterate on samples in a dataset and do something with their numeric
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51 value. We would want the code to be as close as possible to:
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52
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53 .. code-block:: python
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54
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55 for sample in dataset:
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56 do_something_with(sample.numeric_value())
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57
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58 A naive implementation of the sample API could be (assuming each sample also
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59 contains a ``variable`` member which is the variable representing this
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60 sample's data):
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61
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62 .. code-block:: python
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63
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64 def numeric_value(self):
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65 if self.function is None:
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66 # Compile function to output the numeric value stored in this
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67 # sample's variable.
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68 self.function = theano.function([], self.variable)
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69 return self.function()
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70
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71 However, this is not a good idea, because it would trigger a new function
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72 compilation for each sample. Instead, we would want something like this:
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73
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74 .. code-block:: python
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75
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76 def numeric_value(self):
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77 if self.function_storage[0] is None:
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78 # Compile function to output the numeric value stored in this
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79 # sample's variable. This function takes as input the index of
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80 # the sample in the dataset, and is shared among all samples.
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81 self.function_storage[0] = theano.function(
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82 [self.symbolic_index], self.variable)
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83 return self.function(self.numeric_index)
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84
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85 In the code above, we assume that all samples created by the action of
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86 iterating over the dataset share the same ``function_storage``,
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87 ``symbolic_index`` and ``variable``: the first time we try to access the numeric
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88 value of some sample, a function is compiled, that takes as input the index,
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89 and outputs the variable. The only difference between samples is thus that
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90 they are given a different numeric value for the index (``numeric_index``).
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91
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92 Another way to obtain the same result is to actually let the user take care of
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93 compiling the function. It would allow the user to really control what is
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94 being compiled, at the cost of having to write more code:
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95
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96 .. code-block:: python
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97
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98 symbolic_index = dataset.get_index() # Or just theano.tensor.iscalar()
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99 get_sample = theano.function([symbolic_index],
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100 dataset[symbolic_index].variable)
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101 for numeric_index in xrange(len(dataset))
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102 do_something_with(get_sample(numeric_index))
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103
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104 James comments: this is how I have written the last couple of projects, it's
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105 slightly verbose but it's clear and efficient.
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106
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107 The code above may also be simplified by providing helper functions. In the
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108 example above, such a function could allow us to iterate on the numeric values
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109 of samples in a dataset while taking care of compiling the appropriate Theano
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110 function. See Discussion: Helper Functions below.
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111
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112 Note that although the above example focused on how to iterate over a dataset,
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113 it can be cast into a more generic problem, where some data (either dataset or
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114 sample) is the result of some transformation applied to other data, which is
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115 parameterized by parameters p1, p2, ..., pN (in the above example, we were
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116 considering a sample that was obtained by taking the p1-th element in a
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117 dataset). If we use different values for a subset Q of the parameters but keep
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118 other parameters fixed, we would probably want to compile a single function
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119 that takes as input all parameters in Q, while other parameters are fixed. It
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120 may be nice to try and get the best of both worlds, letting the user take
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121 control on what is being compiled, while leaving the option of using a default
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122 sensible behavior for those who do not want to worry about it. Whether this is
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123 possible / desirable is still to-be-determined.
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124
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125 What About Learners?
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126 --------------------
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127
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128 The discussion above only mentioned datasets, but not learners. The learning
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129 part of a learner is not a main concern (currently). What matters most w.r.t.
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130 what was discussed above is how a learner takes as input a dataset and outputs
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131 another dataset that can be used with the dataset API.
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132
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133 A Learner may be able to compute various things. For instance, a Neural
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134 Network may output a ``prediction`` vector (whose elements correspond to
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135 estimated probabilities of each class in a classification task), as well as a
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136 ``cost`` vector (whose elements correspond to the penalized NLL, the NLL alone
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137 and the classification error). We would want to be able to build a dataset
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138 that contains some of these quantities computed on each sample in the input
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139 dataset.
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140
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141 The Neural Network code would then look something like this:
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142
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143 .. code-block:: python
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144
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145 class NeuralNetwork(Learner):
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146
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147 # The decorator below is reponsible for turning a function that
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148 # takes a symbolic sample as input, and outputs a Theano variable,
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149 # into a function that can also be applied on numeric sample data,
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150 # or symbolic datasets.
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151 # Other approaches than a decorator are possible (e.g. using
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152 # different function names).
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153 @datalearn(..)
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154 def compute_prediction(self, sample):
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155 return softmax(theano.tensor.dot(self.weights, sample.input))
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156
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157 @datalearn(..)
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158 def compute_nll(self, sample):
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159 return - log(self.compute_prediction(sample)[sample.target])
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160
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161 @datalearn(..)
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162 def compute_penalized_nll(self, sample):
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163 return (self.compute_nll(self, sample) +
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164 theano.tensor.sum(self.weights**2))
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165
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166 @datalearn(..)
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167 def compute_class_error(self, sample):
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168 probabilities = self.compute_prediction(sample)
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169 predicted_class = theano.tensor.argmax(probabilities)
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170 return predicted_class != sample.target
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171
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172 @datalearn(..)
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173 def compute_cost(self, sample):
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174 return theano.tensor.concatenate([
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175 self.compute_penalized_nll(sample),
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176 self.compute_nll(sample),
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177 self.compute_class_error(sample),
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178 ])
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179
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180 The ``@datalearn`` decorator would allow such a Learner to be used e.g. like
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181 this:
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182
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183 .. code-block:: python
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184
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185 nnet = NeuralNetwork()
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186 # Symbolic dataset that represents the output on symbolic input data.
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187 predict_dataset = nnet.compute_prediction(dataset)
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188 for sample in dataset:
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189 # Symbolic sample that represents the output on a single symbolic
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190 # input sample.
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191 predict_sample = nnet.compute_prediction(sample)
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192 # Numeric prediction.
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193 predict_numeric = nnet.compute_prediction({'input': numpy.zeros(10)})
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194 # Combining multiple symbolic outputs.
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195 multiple_fields_dataset = ConcatDataSet([
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196 nnet.compute_prediction(dataset),
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197 nnet.compute_cost(dataset),
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198 ])
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199
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200 In the code above, if one wants to obtain the numeric value of an element of
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201 ``multiple_fields_dataset``, the Theano function being compiled should be able
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202 to optimize computations so that the simultaneous computation of
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203 ``prediction`` and ``cost`` is done efficiently.
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204
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205 Discussion: Are Datasets Variables / Ops?
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206 -----------------------------------------
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207
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208 OD wonders: Should datasets directly be Theano Variables, or should they be a
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209 different object subclass containing a Theano Variable? The advantage of the
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210 former option would be that they would fit directly within the Theano
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211 framework, which may allow high level optimizations on data transformations.
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212 However, we would lose the ability to combine Theano expressions coded in
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213 individual datasets into a single graph. Currently, I instead considered that
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214 a dataset has a member that is a Theano variable, and this variable represents
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215 the data stored in the dataset. The same is done for individual data samples.
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216
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217 James asks: Why would a Theano graph in which some nodes represent datasets give
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218 up the ability to combine Theano expressions coded in individual datasets?
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219 Firstly, if you want to use Theano expressions and compiled functions to
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220 implement the perform() method of an Op, you can do that. Secondly, you can
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221 just include those 'expressions coded in individual datasets' into the overall
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222 graph.
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223
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224 OD replies to James: What I had in mind is you would be forced to compile your
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225 own function inside the perform() method of an Op. This seemed like a
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226 potential problem to me because it would prevent Theano from seeing the whole
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227 fine-grained graph and do optimizations across multiple dataset
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228 transformations (there may also be additional overhead from calling multiple
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229 function). But if you are saying it is possible to include 'expressions coded
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230 in individual datasets' into the overall graph, then I guess this point is
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231 moot. Would this be achieved with an optimization that replaces the dataset
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232 node with its internal graph?
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233
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234 Razvan comments: 1) Having Theano expressions inside the perform of a Theano
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235 Op can lead to issues. I know I had to deal with a few when implementing
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236 Scan which does exactly this. Well to be fair these issues mostly come into
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237 play when the inner graph has to interact with the outer graph and most of
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238 the time they can be solved. I guess all that I'm saying is going that way
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239 might lead to some head-ache to developers, though I guess some head-ache
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240 will be involved no matter what
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241 2) In my view (I'm not sure this is what Olivier was saying) the idea of
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242 not putting the Dataset into a Variable is to not put the logic related to
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243 loading data, dividing it into slices when running it on the GPU and so on
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244 into a theano variable. In my view this logic goes into a DataSet class
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245 that gives you shared variables, symbolic indices into that shared
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246 variables, and also numeric indices. When looping through those numeric
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247 indices, the dataset class can reload parts of the data into the
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248 shared variable and so on.
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249
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250 OD replies to Razvan's point 2: I think what you are saying is another concern
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251 I had, which was the fact it may be confusing to mix in the same class the
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252 Variable/Op and DataSet interfaces. I would indeed prefer to keep them
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253 separate. However, it may be possible to come up with a system that would get
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254 the best of both worlds (maybe by having the Op/Variable as members of
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255 Dataset, and just asking the user building a theano graph to use these instead
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256 of the dataset directly). Note that I'm mixing up Op/Variable here, because
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257 it's just not clear yet for me which would go where...
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258
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259
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260 Discussion: Implicit / Explicit Function Compilation
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261 ----------------------------------------------------
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262
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263 <Razvan comments>: I assume that ``do_something_with`` is suppose to be some
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264 numeric function, and dataset in this case is the result of some
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265 computations on a initial dataset.
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266 I would differentiate the two approaches (1) and (2) as :
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267 - first of all whatever you can do with (1) you can do with (2)
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268 - approach (1) hides the fact that you are working with symbolic graphs.
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269 You apply functions to datasets, and when you want to see values a
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270 function is compiled under the hood and those values are computed for
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271 you. In approach (2) the fact that you deal with a symbolic graph is
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272 explicit because you have to manually compile your functions.
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273 - approach (1) needs to use this function_storage trick shared between
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274 certain nodes of the graph to reduce the number of compilation while in
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275 approach (2) we don't need to deal with the complexity of lazy
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276 compilation
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277
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278 OD comments: Well, to be fair, it means we put the burden of dealing with the
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279 complexity of lazy compilation on the user (it's up to him to make sure he
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280 compiles only one function).
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281
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282 - approach (1) needs a replace function if you want to change the dataset.
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283 What you would do, is once you have a "computational graph" or pipeline
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284 or whatever you call it, say ``graph``, to change the input you would do
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285 graph.replace({ init_data_X: new_data_X}), In approach (2) the init_data_X
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286 and new_data_X is the ``dataset`` so you would compile two different
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287 functions. Well I would re-write (2) -- to make the above more clear --
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288 as :
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289
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290 .. code-block:: python
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291
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292 symbolic_index = theano.tensor.iscalar()
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293 get_sample1 = theano.function( [symbolic_index],
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294 graph( dataset[symbolic_index] ).variable)
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295 for numeric_index in xrange(len(dataset)):
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296 do_something_with(get_sample(numeric_index))
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297
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298 get_sample2 = theano.function( [symbolic_index],
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299 graph( new_dataset[symbolic_index] ).variable)
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300 ## Note: the dataset was replaced with new_dataset
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301 for numeric_index in xrange(len(new_dataset)):
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302 do_something_with(get_sample2(numeric_index))
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303
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304 ######### FOR (1) you write:
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305
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306 for datapoint in graph:
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307 do_something_with( datapoint() )
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308
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309 new_graph = graph.replace({dataset:dataset2})
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310
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311 for datapoint in new_graph:
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312 do_something_with(datapoint())
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313
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314 OD comments: I don't really understand what is 'graph' in this code (it
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315 appears in both approaches but is used differently). What I have in mind would
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316 be more with 'graph' removed in the first approach you describe (#2), and
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317 graph / new_graph replaced by dataset / new_dataset in the second one (#1).
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318 You wouldn't need to call some graph.replace method: the graphs compiled for
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319 iterating on 'dataset' and 'new_dataset' would be entirely separate (using two
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320 different compiled functions, pretty much like #2).
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321
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322 RP answers: Yes you are right. What I was trying to say is if you have two
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323 different datasets on which you want to apply the same pre-processing you
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324 can do that in both approaches. ``graph`` represents the pre-processing
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325 steps in (2) and the end dataset (after preprocessing) in (1). So the idea
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326 is that instead of making new_graph from scratch (re-applying all the
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327 transforms on the original dataset) you can use replace. Or maybe the
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328 __call__ (that compiles the function if needed) can get a givens dictionary
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329 ( that replaces datasets or more ). I only gave this argument because I
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330 thought this will be an issue people will raise. They will say, well in (2)
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331 the pipeline logic is separated from the data, so you can use the same
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332 transformation with different data easily, while in (1) you write the
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333 transformation rooted in a dataset, and if you want same transformation
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334 for a different dataset you have to re-write everything.
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335
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336 OD replies: Still not sure I understand. If you have a "graph" function that
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337 takes a dataset as input and outputs a new dataset, you can use this same
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338 function with both (1) and (2). With (2) it is:
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339 theano.function([index], graph(my_dataset)[index].variable)
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340 while with (1) the same function is compiled implicitly with:
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341 for sample in graph(my_dataset):
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342 ...
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343
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344 RP answers: right. I was actually constructing this stupid example in my mind when
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345 you would do like :
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346 i1 = f1(data)
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347 i2 = f2(i1)
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348 i3 = f3(i2)
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349 ...
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350 iN = fN(iN-1)
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351 and then you would say .. wait I want to do this on new_data as well. Oh no, I
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352 have to copy the entire block or whatever. That is so annoying. But actually you
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353 could just write:
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354
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355 def my_f(data):
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356 i1 = f1(data)
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357 ...
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358 return iN
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359
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360 and then just use that function which is what you pointed out. I agree I'm
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361 not sure anymore on the point that I was trying to make. Is like if you are
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362 a lazy programmer, and you write everything without functions, you can
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363 argue that you like more (2) because you only pass the dataset at the end
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364 and not at the beginning. But if (1) would have the replace function this
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365 argument will fail. Though this only stands if you like don't want to make
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366 a function out of your pipeline that takes the dataset as input, which now
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367 that I think about it is pretty stupid not to do. Sorry for that.
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368
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369
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370 - in approach (1) the initial dataset object (the one that loads the data)
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371 decides if you will use shared variables and indices to deal with the
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372 dataset or if you will use ``theano.tensor.matrix`` and not the user( at
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373 least not without hacking the code). Of course whoever writes that class
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374 can add a flag to it to switch between behaviours that make sense.
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375 In approach (2) one is not forced to do this
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376 inside that class by construction, though by convention I would do it.
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377 So if you consider the one who writes that class as a developer than
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378 in (2) the user can decide/deal with this and not the developer.
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379 Though this is a fine-line -- I would say the user would actually
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380 write that class as well using some template.
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381 That is to say (2) looks and feels more like working with Theano
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382 directly,
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383
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384 Bottom line, I think (1) puts more stress on the development of the library,
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385 and hides Theano and some of the complexity for day to day usage.
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386 In (2) everything is a bit more explicit, leaving the impression that you
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387 have more control over the code, though I strongly feel that whatever can
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388 be done in (2) can be done in (1). Traditionally I was more inclined
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389 towards (1) but now I'm not that sure, I think both are equally interesting
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390 and valid options.
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391 </Razvan comments>
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392
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393 Discussion: Fixed Parameters vs. Function Arguments
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394 ---------------------------------------------------
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395
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396 Razvan Comment: I thought about this a bit at the Pylearn level. In my
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397 original train of thought you would have the distinction between ``hand
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398 picked parameters`` which I would call hyper-parameter and learned
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399 parameters. A transformation in this framework (an op if you wish) could
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400 take as inputs DataSet(s), DataField(s), Parameter(s) (which are the things
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401 that the learner should adapt) and HyperParameter(s). All hyper-parameters
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402 will turn into arguments of the compiled function (like the indices of each
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403 of the dataset objects ) and therefore they can be changed without
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404 re-compilation. Or in other words this can be easily done by having new
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
diff changeset
405 types of Variables that would represent Parameters and Hyper-parameters.
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
diff changeset
406 And as an ending note I would say that there are
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
diff changeset
407 hyper-parameters for which you need to recompile the thenao function and
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
diff changeset
408 can not be just parameters ( so we would have yet another category ?).
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5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
409
1366
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
410 Yoshua's comments on RP's comments: I don't understand why we would
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
411 need to create these types. Isn't it just a matter for the programmer
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
412 to decide what are the inputs of the compiled function, and which
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
413 are possibly constant (e.g. holding some hyper-parameters constant
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
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414 for a while)?
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
415
1368
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Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
416 RP answers: If we opt for this lazy compilation mechanism, the library needs
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
417 to know what to put into a shared, and what to expect as input. The
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
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418 programmer should give hints to the library by saying this value will always
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
419 be constant, or this is a hyper-parameter that I might want to change, and
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
420 when I do that I don't want to recompile everything so put it as an
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
421 argument. Even when the compilation is done by the user, it would be helpful
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
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422 to have some function that collects all the parameters for you. What I mean
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
423 is that it would be nice to write something like
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
424
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
425 corruption_layer_1 = Parameter ( value = 0.1, name = 'c1')
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
426 # Followed by (many) lines of code
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
427 f = function ( results.inputs()+ results.hyper-params(), result )
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
428
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
429
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
430 where results.hyper-params parses the graph, collects the hyper-parameter
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
431 and returns them as a list of theano.Variables wrappen in theano.In with
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
432 a default value and a name. You could call the function either as
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
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433
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
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434 f()
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
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435 or
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
436 f(c1 = 0.2)
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
437
1370
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Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
438 OD comments: Here is a (hopefully simpler) suggestion to solve this problem.
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
439 Consider any data{set,point} obtained by a transformation of an existing
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
440 data{set,point} with parameters p1, p2, ..., pN. From the point of view of
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
441 theano variables, this is something like x2 = h(x1, p1=v1, ..., pn=vN) where
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
442 x1, x2 are variables and h is an Op. In addition v1 ... vN are also variables
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
443 since they are parameters of the transformation we may want to vary. This is
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
444 not, however, the way the user would build the graph, because being forced to
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
445 use variables for parameters is not user-friendly (IMO). Instead, someone
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
446 would write:
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
447 d2 = t(d1, p1=w1, ..., pn=wN)
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
448 where d1, d2 are data{set,point}s, t is the transformation, and w1 ... wN are
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
449 numeric values of the parameters. Then t would build the piece of graph above,
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
450 so that when you ask d2.numeric_value(), a function computing x2 would be
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
451 compiled, that would take as input variables v1, ... vN.
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
452 Now, the problem is that this may not be fully optimized, since parameters are
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
453 assumed to be varying (so as not to be forced to recompile a different
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
454 function when the user calls t with different parameter values). My suggestion
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
455 is to make this the default behavior, but add an extra argument to t:
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
456 d2 = t(d1, p1=w1, ..., pn=Wn, constants=['p3', 'p5'])
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
457 The line above would do the same, except that the function being compiled
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
458 would use the constant values w3 and w5 for p3 and p5.
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
459 Razvan's example above would be written in a different way as follows:
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
460 def f(c1=0.2):
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
461 return transformK(..(transform2(transform1(input_data,
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
462 corruption_layer_1=c1))))
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
463 With this code you could create various transformed datasets by callling f
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
464 with different values for c1. The first time you call f(c1=0).numeric_value()
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
465 a Theano function is compiled that takes a `corruption_layer_1` input variable
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
466 (whose value is 0 when the function is called by `numeric_value`). If you call
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
467 f().numeric_value(), the same function is re-used (no need to compile it) with
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
468 this input set to 0.2. If on another hand you want to compile a new function
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
469 for each new value of your `corruption_layer_1` parameter, you would instead
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
470 write:
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
471 def f(c1=0.2):
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
472 return transformK(..(transform2(transform1(input_data,
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
473 corruption_layer_1=c1,
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
474 constants=['corruption_layer_1']))))
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
475 This would be one way to have automatic lazy function cache / compilation
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
476 while still letting the user specify for which parameters a new function needs
5785cbac3361 Added a suggestion to solve the problem of Fixed vs. Varying parameters
Olivier Delalleau <delallea@iro>
parents: 1369
diff changeset
477 to be compiled when their value changes.
1368
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
478
1371
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
479 RP comment : What about the same trick that Theano uses, namely, if you want
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
480 a non "default" behaviour you wrap the input in a dictionary. You would
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
481 write tranform1( input_data,
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
482 corruption_layer_1= In(value = c1, fixed = True)) ?
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
483 I started to like this approach of passing extra info about an argument :).
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
484 Other that this it sounds good to me.
98d4232df1d8 comment on OD idea
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1370
diff changeset
485
1368
ad53f73020c2 Answered Yoshua's question
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1367
diff changeset
486
1367
9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
diff changeset
487 Discussion: Helper Functions
9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
diff changeset
488 ----------------------------
9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
diff changeset
489
1362
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
490 James: Another syntactic option for iterating over datasets is
1359
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
491
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
492 .. code-block:: python
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
493
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
494 for sample in dataset.numeric_iterator(batchsize=10):
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
495 do_something_with(sample)
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
496
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
497 The numeric_iterator would create a symbolic batch index, and compile a single function
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
498 that extracts the corresponding minibatch. The arguments to the
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
499 numeric_iterator function can also specify what compile mode to use, any givens
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
500 you might want to apply, etc.
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
501
1366
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
502 Yoshua's comment to James' comment: I like that approach.
f945ed016c68 comment by YB
Yoshua Bengio <bengioy@iro.umontreal.ca>
parents: 1365
diff changeset
503
1362
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
504 OD comments: Would there also be some kind of function cache to avoid
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
505 compiling the same function again if we re-iterate on the same dataset with
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
506 the same arguments? Maybe a more generic issue is: would there be a way for
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
507 Theano to be more efficient when re-compiling the same function that was
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
diff changeset
508 already compiled in the same program? (note that I am assuming here it is not
1363
18b2ebec6bca Reply to a comment of OD
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1362
diff changeset
509 efficient, but I may be wrong).
1359
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
diff changeset
510
1369
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
511 OD adds: After thinking more about it, this seems very close to my first
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
512 version where a function is automatically compiled "under the hood" when
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
513 iterating on a dataset and accessing the numeric value of a resulting
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
514 sample. The main differences are:
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
515 - In your version, the result is directly a numeric value, while in my version
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
516 one would obtain symbolic samples and would need to call some method to
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
517 obtain their numeric value. I think I like mine a bit better because it
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
518 means you can use the same syntax to e.g. iterate on a dataset, whether you
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
519 are interested in the symbolic representation of samples, or their numeric
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
520 values. On another hand, doing so could be less efficient since you create an
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
521 intermediate representation you may not use. The overhead does not seem much
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
522 to me but I am not sure about that.
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
523 - In your version, you can provide to the function e.g. compile modes /
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
524 givens. This could probably also be done in my version, although it makes it
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
525 more difficult if you want to cache the function to avoid compiling it more
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
526 than once (see next point).
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
527 - (Related to my first comment above) In your version it seems like a new
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
528 function would be compiled every time the user calls e.g.
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
529 'numeric_iterator', while in my version the function would be compiled only
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
530 once. Maybe this can be solved at the Theano level with an efficient
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
531 function cache?
f3a549bd8688 datalearn: Added another comment on James' numeric iterator function
Olivier Delalleau <delallea@iro>
parents: 1368
diff changeset
532
1367
9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
diff changeset
533 Discussion: Dataset as Learner Ouptut
9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
diff changeset
534 -------------------------------------
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ffa2932a8cba Added datalearn committee discussion file
Olivier Delalleau <delallea@iro>
parents:
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535
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5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
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536 James asks:
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
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537 What's wrong with simply passing the variables corresponding to the dataset to
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
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538 the constructor of the learner?
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
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539 That seems much more flexible, compact, and clear than the decorator.
5db730bb0e8e comments on datalearn
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 1357
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540
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6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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541 OD replies: Not sure I understand your idea here. We probably want a learner
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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542 to be able to compute its output on multiple datasets, without having to point
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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543 to these datasets within the learner itself (which seems cumbersome to me).
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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544 The point of the decorators is mostly to turn a single function (that outputs
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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545 a theano variable for the ouptut computed on a single sample) into a function
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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546 that can compute symbolic datasets as well as numeric sample outputs. Those
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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547 could also be instead different functions in the base Learner class if the
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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548 decorator approach is considered ugly / confusing.
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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549
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7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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550 Razvan asks: What is predict_sample for ? What is predict_dataset? What I
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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551 guess you mean is that the decorator is used to convert a function that
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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552 takes a theano variable and outputs a theano variable into a class/function
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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553 that takes a DataField/DataSet and outputs a DataField/DataSet. It could
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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554 also register all those different functions, so that the Dataset that
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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555 you get out of (not one of the function) the entire Learner (this Dataset
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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556 is returned by __call__) would contain all those as fields.
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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557 I would use it like this:
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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558
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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559 .. code-block:: python
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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560
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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561 nnet = NeuralNetwork()
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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562 results = nnet(dataset)
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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563 for datapoint in results:
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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564 print datapoint.prediction, datapoint.nll, ...
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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565
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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566 Is this close to what you are suggesting?
7548dc1b163c Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents: 1359
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567
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6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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568 OD: Yes, you guessed right, the decorator's role is to do something different
6b9673d72a41 Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents: 1361
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569 depending on the input to the function (see my reply to James above).
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9474fb4ad109 Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents: 1366
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570