Mercurial > pylearn
annotate doc/v2_planning/datalearn.txt @ 1419:cff305ad9f60
TensorFnDataset - added x_ attribute that caches the dataset function return
value, but does not get pickled.
author | James Bergstra <bergstrj@iro.umontreal.ca> |
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date | Fri, 04 Feb 2011 16:05:22 -0500 |
parents | e3d02b0a05e3 |
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rev | line source |
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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 |
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5 Participants |
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6 ------------ |
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7 - Yoshua |
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8 - Razvan |
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9 - Olivier D [leader] |
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10 - James |
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11 |
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12 |
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13 High-Level Objectives |
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14 --------------------- |
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15 |
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16 * Simple ML experiments should be simple to write |
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17 * More complex / advanced scenarios should be possible without being forced |
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18 to work "outside" of this framework |
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19 * Computations should be optimized whenever possible |
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20 * Existing code (in any language) should be "wrappable" within this |
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21 framework |
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22 * It should be possible to replace [parts of] this framework with C++ code |
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23 |
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24 |
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25 Theano-Like Data Flow |
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26 --------------------- |
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27 |
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28 We want to rely on Theano to be able to take advantage of its efficient |
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29 computations. The general idea is that if we chain multiple processing |
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30 elements (think e.g. of a feature selection step followed by a PCA projection, |
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31 then a rescaling within a fixed bounded interval), the overall transformation |
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32 from input to output data can be represented by a Theano symbolic graph. When |
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33 one wants to access the actual numeric data, a function is compiled so as to |
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34 do these computations efficiently. |
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35 |
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36 We discussed some specific API options for datasets and learners, which will |
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37 be added to this file in the future, but a core question that we feel should |
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38 be addressed first is how this Theano-based implementation could be achieved |
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39 exactly. For this purpose, in the following, let us assume that a dataset is |
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40 simply a matrix whose rows represent individual samples, and columns |
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41 individual features. How to handle field names, non-tensor-like data, etc. is |
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42 a very important topic that is not yet discussed in this file. |
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43 |
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44 The main idea in this proposal is to consider some Data object as a Theano |
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45 Variable (we call 'data' an object that is either a sample, or a collection of |
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46 samples i.e a dataset). Because the Data API (for the Machine Learning user) |
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47 may conflict with the Variable API, in the following we take the approach that |
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48 a data object contains a Theano variable accessible through data.variable |
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49 (instead of Data being a subclass of Variable). For instance a basic way of |
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50 printing the content of a dataset could be: |
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51 |
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52 .. code-block:: python |
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53 |
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54 dataset = NumpyDataset(some_numpy_array) # View array as dataset. |
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55 index = theano.tensor.lscalar() |
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56 get_sample_value = theano.function([index], dataset[index].variable) |
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57 for i in xrange(len(dataset)): |
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58 print get_sample_value(i) |
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59 |
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60 There may also exist some helper function for the common task on iterating |
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61 over the numeric values found in a dataset, which would allow one to simply |
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62 write: |
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63 |
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64 .. code-block:: python |
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65 |
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66 for sample_value in theano_iterate(dataset): |
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67 print sample_value |
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68 |
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69 where the theano_iterate function would take care of the extra work: |
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70 |
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71 .. code-block:: python |
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72 |
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73 def theano_iterate(dataset, index=None, condition=None, |
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74 stop_exceptions=(IndexError, )): |
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75 if index is None: |
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76 index = theano.tensor.lscalar() |
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77 if condition is None: |
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78 condition = index < len(dataset) |
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79 get_value = theano.function([index], |
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80 [dataset[index].variable, condition]) |
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81 i = 0 |
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82 while True: |
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83 try: |
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84 output, cond = get_value(i) |
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85 except stop_exceptions: |
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86 break |
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87 i += 1 |
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88 if cond: |
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89 yield output |
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90 else: |
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91 break |
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92 |
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93 Now imagine a similar situation (willing to iterate on a dataset) where the |
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94 datsaet is the result of some transformation parameterized by another |
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95 Variable. For instance, let's say there exists a GetColumnDataset class such |
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96 that GetColumnDataset(dataset, index_variable) is a dataset whose associated |
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97 variable is dataset.variable[:, index_variable] (assuming here that |
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98 dataset.variable is a matrix variable). One would like to write: |
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99 |
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100 .. code-block:: python |
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101 |
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102 for j in xrange(dataset.n_columns()): |
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103 print 'Printing column %s' % j |
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104 for sample_value in theano_iterate(GetColumnDataset(dataset, j)): |
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105 print sample_value |
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106 |
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107 Although this would work, note that it would compile a new Theano function |
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108 each time theano_iterate is called (one for each value of j), which may be a |
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109 performance bottleneck. One way to avoid this is to just ignore the helper |
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110 function and manually compile a function that also takes the column index as |
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111 input parameter: |
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112 |
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113 .. code-block:: python |
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114 |
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115 sample_idx = theano.tensor.lscalar() |
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116 column_idx = theano.tensor.lscalar() |
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117 get_value = theano.function( |
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118 [sample_idx, column_idx], |
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119 GetColumnDataset(dataset, column_idx)[sample_idx].variable) |
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120 for j in xrange(dataset.n_columns()): |
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121 print 'Printing column %s' % j |
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122 for i in xrange(len(dataset)): |
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123 print get_value(i, j) |
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124 |
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125 It is however possible to use the helper function if it can accept an extra |
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126 argument ('givens') to be provided to the theano compilation step: |
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127 |
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128 .. code-block:: python |
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129 |
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130 def theano_iterate(dataset, index=None, condition=None, |
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131 stop_exceptions=(IndexError, ), |
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132 givens={}): |
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133 (...) |
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134 get_value = theano.function([index], |
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135 [dataset[index].variable, condition], |
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136 givens=givens) |
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137 (...) |
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138 |
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139 column_idx = theano.tensor.lscalar() |
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140 shared_column_idx = theano.shared(0) |
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141 iterate = theano_iterate(GetColumnDataset(dataset, column_idx), |
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142 givens={column_idx: shared_column_idx}) |
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143 for j in xrange(dataset.n_columns()): |
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144 print 'Printing column %s' % j |
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145 shared_column_idx.value = j |
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146 for sample_value in iterate: |
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147 print sample_value |
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148 |
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149 Note there are a couple oddities in the example above: |
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150 1. The way theano_iterate was written, it is not possible to iterate on it |
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151 more than once. This is easily fixed by making it an iterable object. |
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152 2. It would make more sense here to remove 'column_idx' and directly use |
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153 GetColumnDataset(dataset, shared_column_idx), in which case there is no |
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154 need to use the 'givens' keyword. But the goal here is to illustrate a |
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155 situation where one is given a dataset defined from a symbolic variable, |
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156 and we want to compute it for different numeric values of this variable. |
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157 This dataset may have been provided by code the user has no control on, |
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158 thus the need for 'givens' to replace the variable with a shared one |
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159 whose value can be updated between successive calls to the same |
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160 function. |
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161 |
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162 In summary: |
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163 - Data (samples and datasets) are basically Theano Variables, and a data |
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164 transformation an Op. |
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165 - When writing code that requires some data numeric value, one has to compile |
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166 a Theano function to obtain it. This is done either manually or through some |
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167 helper Pylearn functions for common tasks. In both cases, the user should |
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168 have enough control to be able to obtain an efficient implementation. |
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169 |
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170 |
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171 What About Learners? |
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172 -------------------- |
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173 |
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174 The discussion above only mentioned datasets, but not learners. The learning |
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175 part of a learner is not a main concern (currently). What matters most w.r.t. |
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176 what was discussed above is how a learner takes as input a dataset and outputs |
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177 another dataset that can be used with the dataset API. |
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178 |
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179 A Learner may be able to compute various things. For instance, a Neural |
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180 Network may output a ``prediction`` vector (whose elements correspond to |
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181 estimated probabilities of each class in a classification task), as well as a |
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182 ``cost`` vector (whose elements correspond to the penalized NLL, the NLL alone |
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183 and the classification error). We would want to be able to build a dataset |
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184 that contains some of these quantities computed on each sample in the input |
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185 dataset. |
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186 |
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187 The Neural Network code would then look something like this: |
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188 |
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189 .. code-block:: python |
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190 |
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191 class NeuralNetwork(Learner): |
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192 |
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193 # The decorator below is reponsible for turning a function that |
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194 # takes a symbolic sample as input, and outputs a Theano variable, |
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195 # into a function that can also be applied on numeric sample data, |
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196 # or symbolic datasets. |
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197 # Other approaches than a decorator are possible (e.g. using |
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198 # different function names). |
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199 def compute_prediction(self, sample): |
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200 return softmax(theano.tensor.dot(self.weights, sample.input)) |
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201 |
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202 @datalearn |
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203 def compute_nll(self, sample): |
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204 return - log(self.compute_prediction(sample)[sample.target]) |
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205 |
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206 @datalearn |
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207 def compute_penalized_nll(self, sample): |
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208 return (self.compute_nll(self, sample) + |
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209 theano.tensor.sum(self.weights**2)) |
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210 |
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211 @datalearn |
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212 def compute_class_error(self, sample): |
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213 probabilities = self.compute_prediction(sample) |
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214 predicted_class = theano.tensor.argmax(probabilities) |
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215 return predicted_class != sample.target |
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216 |
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217 @datalearn |
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218 def compute_cost(self, sample): |
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219 return theano.tensor.concatenate([ |
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220 self.compute_penalized_nll(sample), |
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221 self.compute_nll(sample), |
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222 self.compute_class_error(sample), |
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223 ]) |
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224 |
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225 The ``@datalearn`` decorator would allow such a Learner to be used e.g. like |
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226 this: |
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227 |
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228 .. code-block:: python |
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229 |
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230 nnet = NeuralNetwork() |
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231 # Symbolic dataset that represents the output on symbolic input data. |
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232 predict_dataset = nnet.compute_prediction(dataset) |
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233 for sample in dataset: |
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234 # Symbolic sample that represents the output on a single symbolic |
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235 # input sample. |
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236 predict_sample = nnet.compute_prediction(sample) |
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237 # Numeric prediction. |
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238 predict_numeric = nnet.compute_prediction({'input': numpy.zeros(10)}) |
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239 # Combining multiple symbolic outputs. |
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240 multiple_fields_dataset = ConcatDataSet([ |
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241 nnet.compute_prediction(dataset), |
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242 nnet.compute_cost(dataset), |
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243 ]) |
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244 |
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245 In the code above, if one wants to obtain the numeric value of an element of |
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246 ``multiple_fields_dataset``, the Theano function being compiled should be able |
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247 to optimize computations so that the simultaneous computation of |
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248 ``prediction`` and ``cost`` is done efficiently. |
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249 |
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250 |
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251 Open Problems |
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252 ------------- |
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253 |
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254 The above is not yet a practical proposal. Investigation of the following |
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255 topics is still missing: |
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256 |
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257 - Datasets whose variables are not matrices (e.g. large datasets that do not |
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258 fit in memory, non fixed-length vector samples, ...) |
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259 - Field names. |
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260 - Typical input / target / weight split. |
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261 - Learners whose output on a dataset cannot be obtained by computing outputs |
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262 on individual samples (e.g. a Learner that ranks samples based on pair-wise |
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263 comparisons). |
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264 - Code parallelization, stop & restart. |
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265 - Modular C++ implementation without Theano. |
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266 - How do we take care of model learning within such a Theano graph? |
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267 - ... |
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268 |
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269 |
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270 Previous Introduction (deprecated) |
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271 ---------------------------------- |
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272 |
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273 A question we did not discuss much is to which extent the architecture could |
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274 be "theanified", i.e. whether a whole experiment could be defined as a Theano |
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275 graph on which high level optimizations could be made possible, while also |
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276 relying on Theano to "run" the graph. The other option is to use a different |
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277 mechanism, with underlying Theano graphs being built wherever possible to link |
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278 the various components of an experiment together. |
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279 |
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280 For now, let us consider the latter option, where each dataset contains a |
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281 pointer to a Theano variable that represents the data stored in this dataset. |
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282 One issue with this approach is illustrated by the following example. Imagine |
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283 we want to iterate on samples in a dataset and do something with their numeric |
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284 value. We would want the code to be as close as possible to: |
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285 |
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286 .. code-block:: python |
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287 |
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288 for sample in dataset: |
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289 do_something_with(sample.numeric_value()) |
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290 |
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291 A naive implementation of the sample API could be (assuming each sample also |
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292 contains a ``variable`` member which is the variable representing this |
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293 sample's data): |
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294 |
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295 .. code-block:: python |
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296 |
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297 def numeric_value(self): |
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298 if self.function is None: |
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299 # Compile function to output the numeric value stored in this |
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300 # sample's variable. |
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301 self.function = theano.function([], self.variable) |
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302 return self.function() |
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303 |
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304 However, this is not a good idea, because it would trigger a new function |
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305 compilation for each sample. Instead, we would want something like this: |
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306 |
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307 .. code-block:: python |
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308 |
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309 def numeric_value(self): |
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310 if self.function_storage[0] is None: |
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311 # Compile function to output the numeric value stored in this |
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312 # sample's variable. This function takes as input the index of |
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313 # the sample in the dataset, and is shared among all samples. |
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314 self.function_storage[0] = theano.function( |
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315 [self.symbolic_index], self.variable) |
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316 return self.function(self.numeric_index) |
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317 |
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318 In the code above, we assume that all samples created by the action of |
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319 iterating over the dataset share the same ``function_storage``, |
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320 ``symbolic_index`` and ``variable``: the first time we try to access the numeric |
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321 value of some sample, a function is compiled, that takes as input the index, |
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322 and outputs the variable. The only difference between samples is thus that |
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323 they are given a different numeric value for the index (``numeric_index``). |
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324 |
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325 Another way to obtain the same result is to actually let the user take care of |
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326 compiling the function. It would allow the user to really control what is |
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327 being compiled, at the cost of having to write more code: |
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328 |
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329 .. code-block:: python |
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330 |
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331 symbolic_index = dataset.get_index() # Or just theano.tensor.iscalar() |
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332 get_sample = theano.function([symbolic_index], |
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333 dataset[symbolic_index].variable) |
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334 for numeric_index in xrange(len(dataset)) |
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335 do_something_with(get_sample(numeric_index)) |
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336 |
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337 James comments: this is how I have written the last couple of projects, it's |
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338 slightly verbose but it's clear and efficient. |
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339 |
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340 The code above may also be simplified by providing helper functions. In the |
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341 example above, such a function could allow us to iterate on the numeric values |
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342 of samples in a dataset while taking care of compiling the appropriate Theano |
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343 function. See Discussion: Helper Functions below. |
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344 |
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345 Note that although the above example focused on how to iterate over a dataset, |
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346 it can be cast into a more generic problem, where some data (either dataset or |
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347 sample) is the result of some transformation applied to other data, which is |
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348 parameterized by parameters p1, p2, ..., pN (in the above example, we were |
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349 considering a sample that was obtained by taking the p1-th element in a |
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350 dataset). If we use different values for a subset Q of the parameters but keep |
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351 other parameters fixed, we would probably want to compile a single function |
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352 that takes as input all parameters in Q, while other parameters are fixed. It |
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353 may be nice to try and get the best of both worlds, letting the user take |
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354 control on what is being compiled, while leaving the option of using a default |
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355 sensible behavior for those who do not want to worry about it. Whether this is |
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356 possible / desirable is still to-be-determined. |
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357 |
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358 |
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359 Discussion: Are Datasets Variables / Ops? |
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360 ----------------------------------------- |
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361 |
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362 OD wonders: Should datasets directly be Theano Variables, or should they be a |
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363 different object subclass containing a Theano Variable? The advantage of the |
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364 former option would be that they would fit directly within the Theano |
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365 framework, which may allow high level optimizations on data transformations. |
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366 However, we would lose the ability to combine Theano expressions coded in |
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367 individual datasets into a single graph. Currently, I instead considered that |
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368 a dataset has a member that is a Theano variable, and this variable represents |
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369 the data stored in the dataset. The same is done for individual data samples. |
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370 |
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371 James asks: Why would a Theano graph in which some nodes represent datasets give |
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372 up the ability to combine Theano expressions coded in individual datasets? |
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373 Firstly, if you want to use Theano expressions and compiled functions to |
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374 implement the perform() method of an Op, you can do that. Secondly, you can |
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375 just include those 'expressions coded in individual datasets' into the overall |
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376 graph. |
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377 |
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378 OD replies to James: What I had in mind is you would be forced to compile your |
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379 own function inside the perform() method of an Op. This seemed like a |
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380 potential problem to me because it would prevent Theano from seeing the whole |
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381 fine-grained graph and do optimizations across multiple dataset |
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382 transformations (there may also be additional overhead from calling multiple |
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383 function). But if you are saying it is possible to include 'expressions coded |
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384 in individual datasets' into the overall graph, then I guess this point is |
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385 moot. Would this be achieved with an optimization that replaces the dataset |
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386 node with its internal graph? |
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387 |
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388 Razvan comments: 1) Having Theano expressions inside the perform of a Theano |
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389 Op can lead to issues. I know I had to deal with a few when implementing |
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390 Scan which does exactly this. Well to be fair these issues mostly come into |
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391 play when the inner graph has to interact with the outer graph and most of |
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392 the time they can be solved. I guess all that I'm saying is going that way |
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393 might lead to some head-ache to developers, though I guess some head-ache |
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394 will be involved no matter what |
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395 2) In my view (I'm not sure this is what Olivier was saying) the idea of |
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396 not putting the Dataset into a Variable is to not put the logic related to |
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397 loading data, dividing it into slices when running it on the GPU and so on |
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398 into a theano variable. In my view this logic goes into a DataSet class |
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399 that gives you shared variables, symbolic indices into that shared |
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400 variables, and also numeric indices. When looping through those numeric |
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401 indices, the dataset class can reload parts of the data into the |
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402 shared variable and so on. |
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403 |
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404 OD replies to Razvan's point 2: I think what you are saying is another concern |
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405 I had, which was the fact it may be confusing to mix in the same class the |
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406 Variable/Op and DataSet interfaces. I would indeed prefer to keep them |
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407 separate. However, it may be possible to come up with a system that would get |
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408 the best of both worlds (maybe by having the Op/Variable as members of |
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409 Dataset, and just asking the user building a theano graph to use these instead |
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410 of the dataset directly). Note that I'm mixing up Op/Variable here, because |
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411 it's just not clear yet for me which would go where... |
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412 |
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413 |
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414 Discussion: Implicit / Explicit Function Compilation |
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415 ---------------------------------------------------- |
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416 |
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417 <Razvan comments>: I assume that ``do_something_with`` is suppose to be some |
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418 numeric function, and dataset in this case is the result of some |
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419 computations on a initial dataset. |
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420 I would differentiate the two approaches (1) and (2) as : |
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421 |
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422 - first of all whatever you can do with (1) you can do with (2) |
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423 - approach (1) hides the fact that you are working with symbolic graphs. |
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424 You apply functions to datasets, and when you want to see values a |
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425 function is compiled under the hood and those values are computed for |
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426 you. In approach (2) the fact that you deal with a symbolic graph is |
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427 explicit because you have to manually compile your functions. |
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428 - approach (1) needs to use this function_storage trick shared between |
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429 certain nodes of the graph to reduce the number of compilation while in |
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430 approach (2) we don't need to deal with the complexity of lazy |
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431 compilation |
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432 |
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433 OD comments: Well, to be fair, it means we put the burden of dealing with the |
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434 complexity of lazy compilation on the user (it's up to him to make sure he |
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435 compiles only one function). |
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436 |
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437 - approach (1) needs a replace function if you want to change the dataset. |
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438 What you would do, is once you have a "computational graph" or pipeline |
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439 or whatever you call it, say ``graph``, to change the input you would do |
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440 graph.replace({ init_data_X: new_data_X}), In approach (2) the init_data_X |
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441 and new_data_X is the ``dataset`` so you would compile two different |
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442 functions. Well I would re-write (2) -- to make the above more clear -- |
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443 as : |
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444 |
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445 .. code-block:: python |
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446 |
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447 symbolic_index = theano.tensor.iscalar() |
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448 get_sample1 = theano.function( [symbolic_index], |
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449 graph( dataset[symbolic_index] ).variable) |
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450 for numeric_index in xrange(len(dataset)): |
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451 do_something_with(get_sample(numeric_index)) |
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452 |
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453 get_sample2 = theano.function( [symbolic_index], |
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454 graph( new_dataset[symbolic_index] ).variable) |
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455 ## Note: the dataset was replaced with new_dataset |
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456 for numeric_index in xrange(len(new_dataset)): |
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457 do_something_with(get_sample2(numeric_index)) |
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458 |
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459 ######### FOR (1) you write: |
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460 |
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461 for datapoint in graph: |
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462 do_something_with( datapoint() ) |
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463 |
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464 new_graph = graph.replace({dataset:dataset2}) |
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465 |
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466 for datapoint in new_graph: |
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467 do_something_with(datapoint()) |
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468 |
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469 OD comments: I don't really understand what is 'graph' in this code (it |
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470 appears in both approaches but is used differently). What I have in mind would |
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471 be more with 'graph' removed in the first approach you describe (#2), and |
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472 graph / new_graph replaced by dataset / new_dataset in the second one (#1). |
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473 You wouldn't need to call some graph.replace method: the graphs compiled for |
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474 iterating on 'dataset' and 'new_dataset' would be entirely separate (using two |
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475 different compiled functions, pretty much like #2). |
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476 |
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477 RP answers: Yes you are right. What I was trying to say is if you have two |
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478 different datasets on which you want to apply the same pre-processing you |
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479 can do that in both approaches. ``graph`` represents the pre-processing |
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480 steps in (2) and the end dataset (after preprocessing) in (1). So the idea |
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481 is that instead of making new_graph from scratch (re-applying all the |
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482 transforms on the original dataset) you can use replace. Or maybe the |
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483 __call__ (that compiles the function if needed) can get a givens dictionary |
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484 ( that replaces datasets or more ). I only gave this argument because I |
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485 thought this will be an issue people will raise. They will say, well in (2) |
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486 the pipeline logic is separated from the data, so you can use the same |
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487 transformation with different data easily, while in (1) you write the |
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488 transformation rooted in a dataset, and if you want same transformation |
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489 for a different dataset you have to re-write everything. |
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490 |
1364 | 491 OD replies: Still not sure I understand. If you have a "graph" function that |
492 takes a dataset as input and outputs a new dataset, you can use this same | |
493 function with both (1) and (2). With (2) it is: | |
494 theano.function([index], graph(my_dataset)[index].variable) | |
495 while with (1) the same function is compiled implicitly with: | |
496 for sample in graph(my_dataset): | |
497 ... | |
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498 |
1365 | 499 RP answers: right. I was actually constructing this stupid example in my mind when |
500 you would do like : | |
501 i1 = f1(data) | |
502 i2 = f2(i1) | |
503 i3 = f3(i2) | |
504 ... | |
505 iN = fN(iN-1) | |
506 and then you would say .. wait I want to do this on new_data as well. Oh no, I | |
507 have to copy the entire block or whatever. That is so annoying. But actually you | |
508 could just write: | |
509 | |
510 def my_f(data): | |
511 i1 = f1(data) | |
512 ... | |
513 return iN | |
514 | |
515 and then just use that function which is what you pointed out. I agree I'm | |
516 not sure anymore on the point that I was trying to make. Is like if you are | |
517 a lazy programmer, and you write everything without functions, you can | |
518 argue that you like more (2) because you only pass the dataset at the end | |
519 and not at the beginning. But if (1) would have the replace function this | |
520 argument will fail. Though this only stands if you like don't want to make | |
521 a function out of your pipeline that takes the dataset as input, which now | |
522 that I think about it is pretty stupid not to do. Sorry for that. | |
523 | |
524 | |
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525 - in approach (1) the initial dataset object (the one that loads the data) |
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526 decides if you will use shared variables and indices to deal with the |
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527 dataset or if you will use ``theano.tensor.matrix`` and not the user( at |
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528 least not without hacking the code). Of course whoever writes that class |
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529 can add a flag to it to switch between behaviours that make sense. |
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530 In approach (2) one is not forced to do this |
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531 inside that class by construction, though by convention I would do it. |
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532 So if you consider the one who writes that class as a developer than |
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533 in (2) the user can decide/deal with this and not the developer. |
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534 Though this is a fine-line -- I would say the user would actually |
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535 write that class as well using some template. |
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536 That is to say (2) looks and feels more like working with Theano |
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537 directly, |
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538 |
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539 Bottom line, I think (1) puts more stress on the development of the library, |
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540 and hides Theano and some of the complexity for day to day usage. |
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541 In (2) everything is a bit more explicit, leaving the impression that you |
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542 have more control over the code, though I strongly feel that whatever can |
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543 be done in (2) can be done in (1). Traditionally I was more inclined |
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544 towards (1) but now I'm not that sure, I think both are equally interesting |
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545 and valid options. |
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546 </Razvan comments> |
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547 |
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548 |
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549 Discussion: Fixed Parameters vs. Function Arguments |
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550 --------------------------------------------------- |
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551 |
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552 Razvan Comment: I thought about this a bit at the Pylearn level. In my |
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553 original train of thought you would have the distinction between ``hand |
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554 picked parameters`` which I would call hyper-parameter and learned |
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555 parameters. A transformation in this framework (an op if you wish) could |
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556 take as inputs DataSet(s), DataField(s), Parameter(s) (which are the things |
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557 that the learner should adapt) and HyperParameter(s). All hyper-parameters |
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558 will turn into arguments of the compiled function (like the indices of each |
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559 of the dataset objects ) and therefore they can be changed without |
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560 re-compilation. Or in other words this can be easily done by having new |
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561 types of Variables that would represent Parameters and Hyper-parameters. |
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562 And as an ending note I would say that there are |
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563 hyper-parameters for which you need to recompile the thenao function and |
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564 can not be just parameters ( so we would have yet another category ?). |
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565 |
1366 | 566 Yoshua's comments on RP's comments: I don't understand why we would |
567 need to create these types. Isn't it just a matter for the programmer | |
568 to decide what are the inputs of the compiled function, and which | |
569 are possibly constant (e.g. holding some hyper-parameters constant | |
570 for a while)? | |
571 | |
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572 RP answers: If we opt for this lazy compilation mechanism, the library needs |
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573 to know what to put into a shared, and what to expect as input. The |
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574 programmer should give hints to the library by saying this value will always |
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575 be constant, or this is a hyper-parameter that I might want to change, and |
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576 when I do that I don't want to recompile everything so put it as an |
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577 argument. Even when the compilation is done by the user, it would be helpful |
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578 to have some function that collects all the parameters for you. What I mean |
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579 is that it would be nice to write something like |
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580 |
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581 corruption_layer_1 = Parameter ( value = 0.1, name = 'c1') |
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582 # Followed by (many) lines of code |
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583 f = function ( results.inputs()+ results.hyper-params(), result ) |
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584 |
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585 |
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586 where results.hyper-params parses the graph, collects the hyper-parameter |
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587 and returns them as a list of theano.Variables wrappen in theano.In with |
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588 a default value and a name. You could call the function either as |
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589 |
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590 f() |
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591 or |
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592 f(c1 = 0.2) |
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593 |
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594 OD comments: Here is a (hopefully simpler) suggestion to solve this problem. |
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595 Consider any data{set,point} obtained by a transformation of an existing |
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596 data{set,point} with parameters p1, p2, ..., pN. From the point of view of |
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597 theano variables, this is something like x2 = h(x1, p1=v1, ..., pn=vN) where |
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598 x1, x2 are variables and h is an Op. In addition v1 ... vN are also variables |
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599 since they are parameters of the transformation we may want to vary. This is |
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600 not, however, the way the user would build the graph, because being forced to |
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601 use variables for parameters is not user-friendly (IMO). Instead, someone |
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602 would write: |
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603 d2 = t(d1, p1=w1, ..., pn=wN) |
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604 where d1, d2 are data{set,point}s, t is the transformation, and w1 ... wN are |
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605 numeric values of the parameters. Then t would build the piece of graph above, |
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606 so that when you ask d2.numeric_value(), a function computing x2 would be |
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607 compiled, that would take as input variables v1, ... vN. |
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608 Now, the problem is that this may not be fully optimized, since parameters are |
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609 assumed to be varying (so as not to be forced to recompile a different |
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610 function when the user calls t with different parameter values). My suggestion |
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611 is to make this the default behavior, but add an extra argument to t: |
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612 d2 = t(d1, p1=w1, ..., pn=Wn, constants=['p3', 'p5']) |
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613 The line above would do the same, except that the function being compiled |
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614 would use the constant values w3 and w5 for p3 and p5. |
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615 Razvan's example above would be written in a different way as follows: |
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616 def f(c1=0.2): |
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617 return transformK(..(transform2(transform1(input_data, |
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618 corruption_layer_1=c1)))) |
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619 With this code you could create various transformed datasets by callling f |
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620 with different values for c1. The first time you call f(c1=0).numeric_value() |
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621 a Theano function is compiled that takes a `corruption_layer_1` input variable |
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622 (whose value is 0 when the function is called by `numeric_value`). If you call |
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623 f().numeric_value(), the same function is re-used (no need to compile it) with |
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624 this input set to 0.2. If on another hand you want to compile a new function |
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625 for each new value of your `corruption_layer_1` parameter, you would instead |
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626 write: |
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627 def f(c1=0.2): |
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628 return transformK(..(transform2(transform1(input_data, |
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629 corruption_layer_1=c1, |
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630 constants=['corruption_layer_1'])))) |
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631 This would be one way to have automatic lazy function cache / compilation |
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632 while still letting the user specify for which parameters a new function needs |
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633 to be compiled when their value changes. |
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634 |
1371 | 635 RP comment : What about the same trick that Theano uses, namely, if you want |
636 a non "default" behaviour you wrap the input in a dictionary. You would | |
637 write tranform1( input_data, | |
638 corruption_layer_1= In(value = c1, fixed = True)) ? | |
639 I started to like this approach of passing extra info about an argument :). | |
640 Other that this it sounds good to me. | |
641 | |
1372 | 642 OD replies: Yes, I guess it would make sense. The more I look at it, the more |
643 it seems like it is very close to directly writing a Theano transform on some | |
644 variables. | |
645 | |
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646 |
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647 Discussion: Helper Functions |
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648 ---------------------------- |
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649 |
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650 James: Another syntactic option for iterating over datasets is |
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651 |
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652 .. code-block:: python |
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653 |
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654 for sample in dataset.numeric_iterator(batchsize=10): |
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655 do_something_with(sample) |
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656 |
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657 The numeric_iterator would create a symbolic batch index, and compile a single function |
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658 that extracts the corresponding minibatch. The arguments to the |
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659 numeric_iterator function can also specify what compile mode to use, any givens |
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660 you might want to apply, etc. |
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661 |
1366 | 662 Yoshua's comment to James' comment: I like that approach. |
663 | |
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664 OD comments: Would there also be some kind of function cache to avoid |
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665 compiling the same function again if we re-iterate on the same dataset with |
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666 the same arguments? Maybe a more generic issue is: would there be a way for |
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667 Theano to be more efficient when re-compiling the same function that was |
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668 already compiled in the same program? (note that I am assuming here it is not |
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669 efficient, but I may be wrong). |
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670 |
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671 OD adds: After thinking more about it, this seems very close to my first |
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672 version where a function is automatically compiled "under the hood" when |
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673 iterating on a dataset and accessing the numeric value of a resulting |
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674 sample. The main differences are: |
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675 - In your version, the result is directly a numeric value, while in my version |
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676 one would obtain symbolic samples and would need to call some method to |
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677 obtain their numeric value. I think I like mine a bit better because it |
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678 means you can use the same syntax to e.g. iterate on a dataset, whether you |
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679 are interested in the symbolic representation of samples, or their numeric |
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680 values. On another hand, doing so could be less efficient since you create an |
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681 intermediate representation you may not use. The overhead does not seem much |
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682 to me but I am not sure about that. |
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683 - In your version, you can provide to the function e.g. compile modes / |
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684 givens. This could probably also be done in my version, although it makes it |
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685 more difficult if you want to cache the function to avoid compiling it more |
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686 than once (see next point). |
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687 - (Related to my first comment above) In your version it seems like a new |
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688 function would be compiled every time the user calls e.g. |
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689 'numeric_iterator', while in my version the function would be compiled only |
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690 once. Maybe this can be solved at the Theano level with an efficient |
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691 function cache? |
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692 |
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693 |
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694 Discussion: Dataset as Learner Ouptut |
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695 ------------------------------------- |
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696 |
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697 James asks: |
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698 What's wrong with simply passing the variables corresponding to the dataset to |
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699 the constructor of the learner? |
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700 That seems much more flexible, compact, and clear than the decorator. |
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701 |
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702 OD replies: Not sure I understand your idea here. We probably want a learner |
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703 to be able to compute its output on multiple datasets, without having to point |
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704 to these datasets within the learner itself (which seems cumbersome to me). |
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705 The point of the decorators is mostly to turn a single function (that outputs |
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706 a theano variable for the ouptut computed on a single sample) into a function |
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707 that can compute symbolic datasets as well as numeric sample outputs. Those |
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708 could also be instead different functions in the base Learner class if the |
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709 decorator approach is considered ugly / confusing. |
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710 |
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711 Razvan asks: What is predict_sample for ? What is predict_dataset? What I |
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712 guess you mean is that the decorator is used to convert a function that |
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713 takes a theano variable and outputs a theano variable into a class/function |
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714 that takes a DataField/DataSet and outputs a DataField/DataSet. It could |
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715 also register all those different functions, so that the Dataset that |
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716 you get out of (not one of the function) the entire Learner (this Dataset |
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717 is returned by __call__) would contain all those as fields. |
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718 I would use it like this: |
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719 |
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720 .. code-block:: python |
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721 |
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722 nnet = NeuralNetwork() |
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Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
723 results = nnet(dataset) |
7548dc1b163c
Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
724 for datapoint in results: |
7548dc1b163c
Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
725 print datapoint.prediction, datapoint.nll, ... |
7548dc1b163c
Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
726 |
7548dc1b163c
Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
727 Is this close to what you are suggesting? |
7548dc1b163c
Some question/suggestions to datalearn
Razvan Pascanu <r.pascanu@gmail.com>
parents:
1359
diff
changeset
|
728 |
1362
6b9673d72a41
Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents:
1361
diff
changeset
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729 OD: Yes, you guessed right, the decorator's role is to do something different |
6b9673d72a41
Datalearn replies / comments
Olivier Delalleau <delallea@iro>
parents:
1361
diff
changeset
|
730 depending on the input to the function (see my reply to James above). |
1367
9474fb4ad109
Refactored datalearn committee file to be easier to read
Olivier Delalleau <delallea@iro>
parents:
1366
diff
changeset
|
731 |