annotate pylearn/algorithms/mcRBM.py @ 999:c6d08a760960

added sgd_updates to gd/sgd.py. Modif mcRBM to use it.
author James Bergstra <bergstrj@iro.umontreal.ca>
date Tue, 24 Aug 2010 17:01:09 -0400
parents 8ba8b08e0442
children d4a14c6c36e0
rev   line source
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1 """
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2 This file implements the Mean & Covariance RBM discussed in
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3
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4 Ranzato, M. and Hinton, G. E. (2010)
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5 Modeling pixel means and covariances using factored third-order Boltzmann machines.
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6 IEEE Conference on Computer Vision and Pattern Recognition.
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7
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8 and performs one of the experiments on CIFAR-10 discussed in that paper. There are some minor
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9 discrepancies between the paper and the accompanying code (train_mcRBM.py), and the
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10 accompanying code has been taken to be correct in those cases because I couldn't get things to
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11 work otherwise.
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12
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13
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14 Math
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15 ====
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16
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17 Energy of "covariance RBM"
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18
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19 E = -0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i C_{if} v_i )^2
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20 = -0.5 \sum_f (\sum_k P_{fk} h_k) ( \sum_i C_{if} v_i )^2
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21 "vector element f" "vector element f"
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22
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23 In some parts of the paper, the P matrix is chosen to be a diagonal matrix with non-positive
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24 diagonal entries, so it is helpful to see this as a simpler equation:
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25
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26 E = \sum_f h_f ( \sum_i C_{if} v_i )^2
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27
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29
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30 Version in paper
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31 ----------------
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32
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33 Full Energy of the Mean and Covariance RBM, with
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34 :math:`h_k = h_k^{(c)}`,
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35 :math:`g_j = h_j^{(m)}`,
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36 :math:`b_k = b_k^{(c)}`,
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37 :math:`c_j = b_j^{(m)}`,
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38 :math:`U_{if} = C_{if}`,
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39
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40 E (v, h, g) =
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41 - 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i (U_{if} v_i) / |U_{.f}|*|v| )^2
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42 - \sum_k b_k h_k
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43 + 0.5 \sum_i v_i^2
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44 - \sum_j \sum_i W_{ij} g_j v_i
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45 - \sum_j c_j g_j
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46
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47 For the energy function to correspond to a probability distribution, P must be non-positive. P
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48 is initialized to be a diagonal, and in our experience it can be left as such because even in
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49 the paper it has a very low learning rate, and is only allowed to be updated after the filters
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50 in U are learned (in effect).
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51
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52 Version in published train_mcRBM code
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53 -------------------------------------
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54
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55 The train_mcRBM file implements learning in a similar but technically different Energy function:
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56
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57 E (v, h, g) =
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58 - 0.5 \sum_f \sum_k P_{fk} h_k (\sum_i U_{if} v_i / sqrt(\sum_i v_i^2/I + 0.5))^2
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59 - \sum_k b_k h_k
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60 + 0.5 \sum_i v_i^2
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61 - \sum_j \sum_i W_{ij} g_j v_i
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62 - \sum_j c_j g_j
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63
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64 There are two differences with respect to the paper:
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65
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66 - 'v' is not normalized by its length, but rather it is normalized to have length close to
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67 the square root of the number of its components. The variable called 'small' that
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68 "avoids division by zero" is orders larger than machine precision, and is on the order of
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69 the normalized sum-of-squares, so I've included it in the Energy function.
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70
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71 - 'U' is also not normalized by its length. U is initialized to have columns that are
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72 shorter than unit-length (approximately 0.2 with the 105 principle components in the
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73 train_mcRBM data). During training, the columns of U are constrained manually to have
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74 equal lengths (see the use of normVF), but Euclidean norm is allowed to change. During
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75 learning it quickly converges towards 1 and then exceeds 1. It does not seem like this
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76 column-wise normalization of U is justified by maximum-likelihood, I have no intuition
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77 for why it is used.
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78
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80 Version in this code
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81 --------------------
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82
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83 This file implements the same algorithm as the train_mcRBM code, except that the P matrix is
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84 omitted for clarity, and replaced analytically with a negative identity matrix.
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85
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86 E (v, h, g) =
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87 + 0.5 \sum_k h_k (\sum_i U_{ik} v_i / sqrt(\sum_i v_i^2/I + 0.5))^2
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88 - \sum_k b_k h_k
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89 + 0.5 \sum_i v_i^2
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90 - \sum_j \sum_i W_{ij} g_j v_i
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91 - \sum_j c_j g_j
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94
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95 Conventions in this file
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96 ========================
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97
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98 This file contains some global functions, as well as a class (MeanCovRBM) that makes using them a little
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99 more convenient.
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100
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101
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102 Global functions like `free_energy` work on an mcRBM as parametrized in a particular way.
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103 Suppose we have
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104 I input dimensions,
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105 F squared filters,
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106 J mean variables, and
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107 K covariance variables.
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108 The mcRBM is parametrized by 5 variables:
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109
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110 - `U`, a matrix whose rows are visible covariance directions (I x F)
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111 - `W`, a matrix whose rows are visible mean directions (I x J)
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112 - `b`, a vector of hidden covariance biases (K)
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113 - `c`, a vector of hidden mean biases (J)
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114
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115 Matrices are generally layed out and accessed according to a C-order convention.
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116
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117 """
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118
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119 #
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120 # WORKING NOTES
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121 # THIS DERIVATION IS BASED ON THE ** PAPER ** ENERGY FUNCTION
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122 # NOT THE ENERGY FUNCTION IN THE CODE!!!
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123 #
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124 # Free energy is the marginal energy of visible units
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125 # Recall:
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126 # Q(x) = exp(-E(x))/Z ==> -log(Q(x)) - log(Z) = E(x)
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127 #
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128 #
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129 # E (v, h, g) =
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130 # - 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / |U_{*f}|^2 |v|^2
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131 # - \sum_k b_k h_k
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132 # + 0.5 \sum_i v_i^2
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133 # - \sum_j \sum_i W_{ij} g_j v_i
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134 # - \sum_j c_j g_j
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135 # - \sum_i a_i v_i
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136 #
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137 #
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138 # Derivation, in which partition functions are ignored.
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139 #
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140 # E(v) = -\log(Q(v))
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141 # = -\log( \sum_{h,g} Q(v,h,g))
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142 # = -\log( \sum_{h,g} exp(-E(v,h,g)))
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143 # = -\log( \sum_{h,g} exp(-
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144 # - 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}| * |v|)
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145 # - \sum_k b_k h_k
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146 # + 0.5 \sum_i v_i^2
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147 # - \sum_j \sum_i W_{ij} g_j v_i
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148 # - \sum_j c_j g_j
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149 # - \sum_i a_i v_i ))
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150 #
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151 # Get rid of double negs in exp
967
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152 # = -\log( \sum_{h} exp(
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153 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}| * |v|)
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154 # + \sum_k b_k h_k
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155 # - 0.5 \sum_i v_i^2
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156 # ) * \sum_{g} exp(
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157 # + \sum_j \sum_i W_{ij} g_j v_i
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158 # + \sum_j c_j g_j))
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159 # - \sum_i a_i v_i
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160 #
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161 # Break up log
967
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162 # = -\log( \sum_{h} exp(
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163 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}|*|v|)
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164 # + \sum_k b_k h_k
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165 # ))
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166 # -\log( \sum_{g} exp(
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167 # + \sum_j \sum_i W_{ij} g_j v_i
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168 # + \sum_j c_j g_j )))
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169 # + 0.5 \sum_i v_i^2
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170 # - \sum_i a_i v_i
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171 #
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172 # Use domain h is binary to turn log(sum(exp(sum...))) into sum(log(..
967
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173 # = -\log(\sum_{h} exp(
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174 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}|* |v|)
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175 # + \sum_k b_k h_k
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176 # ))
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177 # - \sum_{j} \log(1 + exp(\sum_i W_{ij} v_i + c_j ))
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178 # + 0.5 \sum_i v_i^2
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179 # - \sum_i a_i v_i
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180 #
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181 # = - \sum_{k} \log(1 + exp(b_k + 0.5 \sum_f P_{fk}( \sum_i U_{if} v_i )^2 / (|U_{*f}|*|v|)))
967
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182 # - \sum_{j} \log(1 + exp(\sum_i W_{ij} v_i + c_j ))
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183 # + 0.5 \sum_i v_i^2
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184 # - \sum_i a_i v_i
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185 #
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186 # For negative-one-diagonal P this gives:
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187 #
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188 # = - \sum_{k} \log(1 + exp(b_k - 0.5 \sum_i (U_{ik} v_i )^2 / (|U_{*k}|*|v|)))
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189 # - \sum_{j} \log(1 + exp(\sum_i W_{ij} v_i + c_j ))
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190 # + 0.5 \sum_i v_i^2
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191 # - \sum_i a_i v_i
967
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192
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193 import sys
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194 import logging
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195 import numpy as np
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196 import numpy
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197
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198 import theano
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199 from theano import function, shared, dot
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200 from theano import tensor as TT
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201 floatX = theano.config.floatX
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202
988
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203 import pylearn
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204 from pylearn.sampling.hmc import HMC_sampler
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205 from pylearn.io import image_tiling
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206 from pylearn.gd.sgd import sgd_updates
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207
988
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208 #TODO: This should be in the datasets folder
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209 import pylearn.datasets.config
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210 import pylearn.dataset_ops.image_patches
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211 from pylearn.dataset_ops.protocol import TensorFnDataset
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212 from pylearn.dataset_ops.memo import memo
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213 import pylearn
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214 import scipy.io
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215 import os
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216
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217
967
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218 #TODO: This should be in the nnet part of the library
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219 def hidden_cov_units_preactivation_given_v(rbm, v, small=0.5):
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220 """Return argument to the sigmoid that would give mean of covariance hid units
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221
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222 See the math at the top of this file for what 'adjusted' means.
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223
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224 return b - 0.5 * dot(adjusted(v), U)**2
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225 """
967
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226 (U,W,a,b,c) = rbm
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227 unit_v = v / (TT.sqrt(TT.mean(v**2, axis=1)+small)).dimshuffle(0,'x') # adjust row norm
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228 return b - 0.5 * dot(unit_v, U)**2
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229
992
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230 def free_energy_terms_given_v(rbm, v):
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231 """Returns theano expression for the terms that are added to form the free energy of
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232 visible vector `v` in an mcRBM.
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233
992
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234 1. Free energy related to covariance hiddens
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235 2. Free energy related to mean hiddens
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236 3. Free energy related to L2-Norm of `v`
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237 4. Free energy related to projection of `v` onto biases `a`
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238 """
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239 U, W, a, b, c = rbm
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240 t0 = -TT.sum(TT.nnet.softplus(hidden_cov_units_preactivation_given_v(rbm, v)),axis=1)
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241 t1 = -TT.sum(TT.nnet.softplus(c + dot(v,W)), axis=1)
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242 t2 = 0.5 * TT.sum(v**2, axis=1)
967
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243 t3 = -TT.dot(v, a)
992
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244 return [t0, t1, t2, t3]
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245
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246 def free_energy_given_v(rbm, v):
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247 """Returns theano expression for free energy of visible vector `v` in an mcRBM
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248 """
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249 return sum(free_energy_terms_given_v(rbm,v))
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250
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251 def contrastive_gradient(rbm, pos_v, neg_v, U_l1_penalty=0, W_l1_penalty=0):
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252 """Return a list of gradient expressions for the rbm parameters
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253
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254 :param pos_v: positive-phase sample of visible units
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255 :param neg_v: negative-phase sample of visible units
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256 :param U_l1_penalty: a scalar-valued multiplier on the L1 penalty on U
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257 :param W_l1_penalty: a scalar-valued multiplier on the L1 penalty on W
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258 """
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259 U, W, a, b, c = rbm
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260 pos_FE = free_energy_given_v(rbm, pos_v)
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261 neg_FE = free_energy_given_v(rbm, neg_v)
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262 c0 = (pos_FE - neg_FE).sum()
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263 c1 = abs(U).sum()*U_l1_penalty
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264 c2 = abs(W).sum()*W_l1_penalty
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265 cost = c0 + c1 + c2
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266 rval = theano.tensor.grad(cost, list(rbm))
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267 return rval
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268
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269 def expected_h_g_given_v(rbm, v):
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270 """Returns tuple (`h`, `g`) of theano expression conditional expectations in an mcRBM.
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271
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272 `h` is the conditional on the covariance units.
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273 `g` is the conditional on the mean units.
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274
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275 """
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276 (U, W, a, b, c) = rbm
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277 h = TT.nnet.sigmoid(hidden_cov_units_preactivation_given_v(rbm, v))
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278 g = nnet.sigmoid(c + dot(v,W))
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279 return (h, g)
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280
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281 def n_visible_units(rbm):
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282 """Return the number of visible units of this RBM
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283
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284 For an RBM made from shared variables, this will return an integer,
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285 for a purely symbolic RBM this will return a theano expression.
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286
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287 """
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288 W = rbm[1]
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289 try:
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290 return W.value.shape[0]
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291 except AttributeError:
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292 return W.shape[0]
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293
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294
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295 def sampler(rbm, n_particles, n_visible=None, rng=7823748):
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296 """Return an `HMC_sampler` that will draw samples from the distribution over visible
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297 units specified by this RBM.
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298
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299 :param n_particles: this many parallel chains will be simulated.
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300 :param rng: seed or numpy RandomState object to initialize particles, and to drive the simulation.
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301 """
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302 if not hasattr(rng, 'randn'):
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303 rng = np.random.RandomState(rng)
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304 if n_visible is None:
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305 n_visible = n_visible_units(rbm)
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306 rval = HMC_sampler(
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307 positions = [shared(
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308 rng.randn(
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309 n_particles,
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310 n_visible).astype(floatX),
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311 name='particles')],
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312 energy_fn = lambda p : free_energy_given_v(rbm, p[0]),
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313 seed=int(rng.randint(2**30)))
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314 return rval
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315
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316 class MeanCovRBM(object):
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317 """Container for mcRBM parameters
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318
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319 It provides parameter lookup by name, as well as a heuristic for initializing the
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320 parameters for effective learning.
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321
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322 Attributes:
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323
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324 - U - the covariance filters (theano shared variable)
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325 - W - the mean filters (theano shared variable)
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326 - a - the visible bias (theano shared variable)
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327 - b - the covariance bias (theano shared variable)
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328 - c - the mean bias (theano shared variable)
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329
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330 """
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331
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332 params = property(lambda s: [s.U, s.W, s.a, s.b, s.c])
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333
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334 n_visible = property(lambda s: s.W.value.shape[0])
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335
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336 def __init__(self, U, W, a, b, c):
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337 self.__dict__.update(locals())
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338 del self.__dict__['self']
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339
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340 def __getitem__(self, idx):
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341 # support unpacking of this container as if it were a tuple
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342 return self.params[idx]
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343
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344 @classmethod
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345 def new_from_dims(cls, n_I, n_K, n_J, rng = 8923402190):
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346 """
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347 Return a MeanCovRBM instance with randomly-initialized parameters.
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348
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349 :param n_I: input dimensionality
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350 :param n_K: number of covariance hidden units
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351 :param n_J: number of mean filters (linear)
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352 :param rng: seed or numpy RandomState object to initialize params
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353 """
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354 if not hasattr(rng, 'randn'):
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355 rng = np.random.RandomState(rng)
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356
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357 def shrd(X,name):
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358 return shared(X.astype(floatX), name=name)
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359
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360 # initialization taken from train_mcRBM.py
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361 return cls(
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362 U = shrd(0.02 * rng.randn(n_I, n_K),'U'),
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363 W = shrd(0.05 * rng.randn(n_I, n_J),'W'),
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364 a = shrd(np.ones(n_I)*(0),'a'),
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365 b = shrd(np.ones(n_K)*2,'b'),
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366 c = shrd(np.ones(n_J)*(-2),'c'))
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367
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368 def __getstate__(self):
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369 # unpack shared containers, which may have references to Theano stuff and are not a
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370 # long-term stable data type.
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371 return dict(
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372 U = self.U.value,
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373 W = self.W.value,
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parents:
diff changeset
374 b = self.b.value,
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
375 c = self.c.value)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
376
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
377 def __setstate__(self, dct):
995
68ca3ea34e72 mcRBM - cleaned up new_from_dims
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 994
diff changeset
378 d = dict(dct)
68ca3ea34e72 mcRBM - cleaned up new_from_dims
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 994
diff changeset
379 for key in ['U', 'W', 'a', 'b', 'c']:
68ca3ea34e72 mcRBM - cleaned up new_from_dims
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 994
diff changeset
380 d[key] = shared(d[key], name=key)
68ca3ea34e72 mcRBM - cleaned up new_from_dims
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 994
diff changeset
381 self.__init__(**d)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
382
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
383 if __name__ == '__main__':
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
384
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
385 dataset='MAR'
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
386 if dataset == 'MAR':
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
387 n_vis=105
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
388 n_patches=10240
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
389 else:
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
390 R,C= 16,16 # the size of image patches
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
391 n_vis=R*C
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
392 n_patches=100000
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
393
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
394 n_train_iters=5000
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
395
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
396 n_burnin_steps=10000
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
397
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
398 l1_penalty=1e-3
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
399 no_l1_epochs = 10
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
400 effective_l1_penalty=0.0
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
401
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
402 epoch_size=n_patches
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
403 batchsize = 128
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
404 lr = 0.075 / batchsize
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
405 s_lr = TT.scalar()
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
406 s_l1_penalty=TT.scalar()
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
407 n_K=256
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
408 n_J=100
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
409
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
410 rbm = MeanCovRBM.new_from_dims(n_I=n_vis, n_K=n_K, n_J=n_J)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
411
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
412 smplr = sampler(rbm, n_particles=batchsize)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
413
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
414 def l2(X):
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
415 return numpy.sqrt((X**2).sum())
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
416 if dataset == 'MAR':
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
417 tile = pylearn.dataset_ops.image_patches.save_filters_of_ranzato_hinton_2010
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
418 else:
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
419 def tile(X, fname):
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
420 _img = image_tiling.tile_raster_images(X,
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
421 img_shape=(R,C),
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
422 min_dynamic_range=1e-2)
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
423 image_tiling.save_tiled_raster_images(_img, fname)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
424
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
425 batch_idx = TT.iscalar()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
426
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
427 if dataset == 'MAR':
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
428 train_batch = pylearn.dataset_ops.image_patches.ranzato_hinton_2010_op(batch_idx * batchsize + np.arange(batchsize))
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
429 else:
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
430 train_batch = pylearn.dataset_ops.image_patches.image_patches(
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
431 s_idx = (batch_idx * batchsize + np.arange(batchsize)),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
432 dims = (n_patches,R,C),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
433 center=True,
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
434 unitvar=True,
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
435 dtype=floatX,
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
436 rasterized=True)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
437
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
438 imgs_fn = function([batch_idx], outputs=train_batch)
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
439
997
71b0132b694a mcRBM - removed container logic that was redundant with global methods
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 996
diff changeset
440 grads = contrastive_gradient(rbm,
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
441 pos_v=train_batch,
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
442 neg_v=smplr.positions[0],
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
443 U_l1_penalty=s_l1_penalty,
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
444 W_l1_penalty=s_l1_penalty)
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
445 sgd_ups = sgd_updates(
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
446 rbm.params,
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
447 grads,
999
c6d08a760960 added sgd_updates to gd/sgd.py. Modif mcRBM to use it.
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 998
diff changeset
448 stepsizes=[2*s_lr, .2*s_lr, .02*s_lr, .1*s_lr, .02*s_lr ])
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
449 learn_fn = function([batch_idx, s_lr, s_l1_penalty],
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
450 outputs=[
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
451 grads[0].norm(2),
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
452 (sgd_ups[0][1] - sgd_ups[0][0]).norm(2),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
453 (sgd_ups[1][1] - sgd_ups[1][0]).norm(2),
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
454 ],
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
455 updates = sgd_ups)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
456
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
457 print "Learning..."
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
458 normVF=1
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
459 last_epoch = -1
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
460 for jj in xrange(n_train_iters):
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
461 epoch = jj*batchsize / epoch_size
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
462
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
463 print_jj = epoch != last_epoch
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
464 last_epoch = epoch
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
465
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
466 if epoch > 10:
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
467 break
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
468
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
469 if print_jj:
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
470 tile(imgs_fn(jj), "imgs_%06i.png"%jj)
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
471 tile(smplr.positions[0].value, "sample_%06i.png"%jj)
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
472 tile(rbm.U.value.T, "U_%06i.png"%jj)
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
473 tile(rbm.W.value.T, "W_%06i.png"%jj)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
474
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
475 print 'saving samples', jj, 'epoch', jj/(epoch_size/batchsize)
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
476
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
477 print 'l2(U)', l2(rbm.U.value),
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
478 print 'l2(W)', l2(rbm.W.value)
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
479
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
480 print 'U min max', rbm.U.value.min(), rbm.U.value.max(),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
481 print 'W min max', rbm.W.value.min(), rbm.W.value.max(),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
482 print 'a min max', rbm.a.value.min(), rbm.a.value.max(),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
483 print 'b min max', rbm.b.value.min(), rbm.b.value.max(),
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
484 print 'c min max', rbm.c.value.min(), rbm.c.value.max()
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
485
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
486 print 'parts min', smplr.positions[0].value.min(),
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
487 print 'max',smplr.positions[0].value.max(),
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
488 print 'HMC step', smplr.stepsize,
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
489 print 'arate', smplr.avg_acceptance_rate
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
490
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
491 smplr.simulate()
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
492
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
493 l2_of_Ugrad = learn_fn(jj,
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
494 lr/max(1, jj/(20*epoch_size/batchsize)),
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
495 effective_l1_penalty)
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
496
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
497 if print_jj:
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
498 print 'l2(U_grad)', float(l2_of_Ugrad[0]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
499 print 'l2(U_inc)', float(l2_of_Ugrad[1]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
500 print 'l2(W_inc)', float(l2_of_Ugrad[2]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
501 #print 'FE+', float(l2_of_Ugrad[2]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
502 #print 'FE+[0]', float(l2_of_Ugrad[3]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
503 #print 'FE+[1]', float(l2_of_Ugrad[4]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
504 #print 'FE+[2]', float(l2_of_Ugrad[5]),
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
505 #print 'FE+[3]', float(l2_of_Ugrad[6])
979
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
506
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
507 if jj == no_l1_epochs * epoch_size/batchsize:
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
508 print "Activating L1 weight decay"
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
509 effective_l1_penalty = 1e-3
2a53384d9742 mcRBM - hacks to driver
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 978
diff changeset
510
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
511 # weird normalization technique...
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
512 # It constrains all the columns of the matrix to have the same length
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
513 # But the matrix itself is re-scaled to have an arbitrary abslute size.
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
514 U = rbm.U.value
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
515 U_norms = np.sqrt((U*U).sum(axis=0))
998
8ba8b08e0442 added the image_patches dataset used in RanzatoHinton2010
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 997
diff changeset
516 assert len(U_norms) == n_K
992
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
517 normVF = .95 * normVF + .05 * np.mean(U_norms)
30b7c4defb6c mcRBM - it works and committing it is taking forever... lets try this approach
James Bergstra <bergstrj@iro.umontreal.ca>
parents: 991
diff changeset
518 rbm.U.value = rbm.U.value * normVF/U_norms
967
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
519