annotate pylearn/algorithms/mcRBM.py @ 967:90e11d5d0a41

adding algorithms/mcRBM, but it is not done yet
author James Bergstra <bergstrj@iro.umontreal.ca>
date Fri, 20 Aug 2010 13:58:56 -0400
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children 0b392d1401c5
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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.
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9
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10
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11 Math
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12 ====
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13
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14 Energy of "covariance RBM"
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15
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16 E = -0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i C_{if} v_i )^2
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17 = -0.5 \sum_f (\sum_k P_{fk} h_k) ( \sum_i C_{if} v_i )^2
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18 "vector element f" "vector element f"
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19
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20 In some parts of the paper, the P matrix is chosen to be a diagonal matrix with non-positive
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21 diagonal entries, so it is helpful to see this as a simpler equation:
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22
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23 E = \sum_f h_f ( \sum_i C_{if} v_i )^2
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24
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25
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26
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27 Full Energy of mean and Covariance RBM, with
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28 :math:`h_k = h_k^{(c)}`,
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29 :math:`g_j = h_j^{(m)}`,
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30 :math:`b_k = b_k^{(c)}`,
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31 :math:`c_j = b_j^{(m)}`,
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32 :math:`U_{if} = C_{if}`,
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33
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34 :
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35
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36 E (v, h, g) =
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37 - 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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38 - \sum_k b_k h_k
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39 + 0.5 \sum_i v_i^2
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40 - \sum_j \sum_i W_{ij} g_j v_i
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41 - \sum_j c_j g_j
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42
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43
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44 Conventions in this file
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45 ========================
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46
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47 This file contains some global functions, as well as a class (MeanCovRBM) that makes using them a little
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48 more convenient.
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49
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50
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51 Global functions like `free_energy` work on an mcRBM as parametrized in a particular way.
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52 Suppose we have
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53 I input dimensions,
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54 F squared filters,
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55 J mean variables, and
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56 K covariance variables.
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57 The mcRBM is parametrized by 5 variables:
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58
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59 - `P`, a matrix (probably sparse) of pooling (F x K)
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60 - `U`, a matrix whose rows are visible covariance directions (I x F)
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61 - `W`, a matrix whose rows are visible mean directions (I x J)
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62 - `b`, a vector of hidden covariance biases (K)
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63 - `c`, a vector of hidden mean biases (J)
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64
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65 Matrices are generally layed out according to a C-order convention.
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66
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67 """
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68
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69 # Free energy is the marginal energy of visible units
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70 # Recall:
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71 # Q(x) = exp(-E(x))/Z ==> -log(Q(x)) - log(Z) = E(x)
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72 #
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73 # Derivation, in which partition functions are ignored.
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74 #
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75 # E(v) = -\log(Q(v))
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76 # = -\log( \sum_{h,g} Q(v,h,g))
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77 # = -\log( \sum_{h,g} exp(-E(v,h,g)))
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78 # = -\log( \sum_{h,g} exp(-
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79 # - 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}| * |v|)
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80 # - \sum_k b_k h_k
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81 # + 0.5 \sum_i v_i^2
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82 # - \sum_j \sum_i W_{ij} g_j v_i
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83 # - \sum_j c_j g_j ))
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84 # = -\log( \sum_{h} exp(
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85 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}| * |v|)
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86 # + \sum_k b_k h_k
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87 # - 0.5 \sum_i v_i^2
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88 # ) * \sum_{g} exp(
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89 # + \sum_j \sum_i W_{ij} g_j v_i
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90 # + \sum_j c_j g_j )))
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91 # = -\log( \sum_{h} exp(
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92 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}|*|v|)
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93 # + \sum_k b_k h_k
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94 # ))
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95 # -\log( \sum_{g} exp(
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96 # + \sum_j \sum_i W_{ij} g_j v_i
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97 # + \sum_j c_j g_j )))
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98 # + 0.5 \sum_i v_i^2
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99 # = -\log(\sum_{h} exp(
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100 # + 0.5 \sum_f \sum_k P_{fk} h_k ( \sum_i U_{if} v_i )^2 / (|U_{*f}|* |v|)
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101 # + \sum_k b_k h_k
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102 # ))
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103 # - \sum_{j} \log(1 + exp(\sum_i W_{ij} v_i + c_j ))
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104 # + 0.5 \sum_i v_i^2
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105 # = - \sum_{k} \log(1 + exp(b_k + 0.5 \sum_f P_{fk}( \sum_i U_{if} v_i )^2 / (|U_{*f}|* # |v|)))
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106 # - \sum_{j} \log(1 + exp(\sum_i W_{ij} v_i + c_j ))
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107 # + 0.5 \sum_i v_i^2
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108
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109 import sys
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110 import logging
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111 import numpy as np
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112 from theano import function, shared, dot
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113 from theano import tensor as TT
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114 import theano.sparse #installs the sparse shared var handler
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115 floatX = theano.config.floatX
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116
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117 from pylearn.sampling.hmc import HMC_sampler
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118 from pylearn.io import image_tiling
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119
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120 from sparse_coding import numpy_project_onto_ball
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121
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122 #TODO: This should be in the nnet part of the library
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123 def sgd_updates(params, grads, lr):
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parents:
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124 try:
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parents:
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125 float(lr)
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parents:
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126 lr = [lr for p in params]
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parents:
diff changeset
127 except TypeError:
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parents:
diff changeset
128 pass
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parents:
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129 updates = [(p, p + plr * gp) for (plr, p, gp) in zip(lr, params, grads)]
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parents:
diff changeset
130 return updates
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parents:
diff changeset
131
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parents:
diff changeset
132 def as_shared(x, name=None, dtype=floatX):
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parents:
diff changeset
133 if hasattr(x, 'type'):
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parents:
diff changeset
134 return x
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parents:
diff changeset
135 else:
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parents:
diff changeset
136 if 'float' in str(x.dtype):
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parents:
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137 return shared(x.astype(floatX), name=name)
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parents:
diff changeset
138 else:
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parents:
diff changeset
139 return shared(x, name=name)
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diff changeset
140
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diff changeset
141 def hidden_cov_units_preactivation_given_v(rbm, v, small=1e-8):
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142 (U,W,a,b,c) = rbm
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parents:
diff changeset
143 unit_v = v / (TT.sqrt(TT.sum(v**2, axis=1))+small).dimshuffle(0,'x') # unit rows
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parents:
diff changeset
144 unit_U = U # assuming unit cols!
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parents:
diff changeset
145 #unit_U = U / (TT.sqrt(TT.sum(U**2, axis=0))+small) #unit cols
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parents:
diff changeset
146 return b - 0.5 * dot(unit_v, unit_U)**2
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parents:
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147
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148 def free_energy_given_v(rbm, v):
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149 """Returns theano expression for free energy of visible vector `v` in an mcRBM
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150
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151 An mcRBM is parametrized
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diff changeset
152 by `U`, `W`, `b`, `c`.
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153 See module - level documentation for explanations of the `U`, `W`, `b` and `c` parameters.
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parents:
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154
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parents:
diff changeset
155
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diff changeset
156 The free energy of v is what we need for learning and hybrid Monte-carlo negative-phase
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parents:
diff changeset
157 sampling.
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parents:
diff changeset
158
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159 """
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diff changeset
160 U, W, a, b, c = rbm
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parents:
diff changeset
161
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
162 t0 = -TT.sum(TT.log1p(TT.exp(hidden_cov_units_preactivation_given_v(rbm, v))),axis=1)
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parents:
diff changeset
163 t1 = -TT.sum(TT.log1p(TT.exp(c + dot(v,W))), axis=1)
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parents:
diff changeset
164 t2 = 0.5 * TT.sum(v**2, axis=1)
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parents:
diff changeset
165 t3 = -TT.dot(v, a)
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parents:
diff changeset
166 return t0 + t1 + t2 + t3
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parents:
diff changeset
167
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parents:
diff changeset
168 def expected_h_g_given_v(P, U, W, b, c, v):
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169 """Returns theano expression conditional expectations (`h`, `g`) in an mcRBM.
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parents:
diff changeset
170
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parents:
diff changeset
171 An mcRBM is parametrized
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
172 by `U`, `W`, `b`, `c`.
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parents:
diff changeset
173 See module - level documentation for explanations of the `U`, `W`, `b` and `c` parameters.
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parents:
diff changeset
174
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parents:
diff changeset
175
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parents:
diff changeset
176 The conditional E[h, g | v] is what we need to classify images.
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parents:
diff changeset
177 """
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parents:
diff changeset
178 raise NotImplementedError()
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parents:
diff changeset
179
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parents:
diff changeset
180 #TODO: check to see if these args should be negated?
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parents:
diff changeset
181
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parents:
diff changeset
182 if P is None:
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parents:
diff changeset
183 h = nnet.sigmoid(b + 0.5 * cosines(v,U))
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parents:
diff changeset
184 else:
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parents:
diff changeset
185 h = nnet.sigmoid(b + 0.5 * dot(cosines(v,U), P))
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parents:
diff changeset
186 g = nnet.sigmoid(c + dot(v,W))
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parents:
diff changeset
187 return (h, g)
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diff changeset
188
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diff changeset
189 class MeanCovRBM(object):
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190 """Container for mcRBM parameters that gives more convenient access to mcRBM methods.
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191 """
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192
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diff changeset
193 params = property(lambda s: [s.U, s.W, s.a, s.b, s.c])
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parents:
diff changeset
194
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diff changeset
195 n_visible = property(lambda s: s.W.value.shape[0])
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196
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diff changeset
197 def __init__(self, U, W, a, b, c):
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198 self.U = as_shared(U, 'U')
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199 self.W = as_shared(W, 'W')
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200 self.a = as_shared(a, 'a')
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201 self.b = as_shared(b, 'b')
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202 self.c = as_shared(c, 'c')
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parents:
diff changeset
203
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diff changeset
204 assert self.b.type.dtype == 'float32'
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parents:
diff changeset
205
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parents:
diff changeset
206 @classmethod
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diff changeset
207 def new_from_dims(cls,
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parents:
diff changeset
208 n_I, # input dimensionality
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
209 n_K, # number of covariance hidden units
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
210 n_F, # number of covariance filters (squared)
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parents:
diff changeset
211 n_J, # number of mean filters (linear)
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diff changeset
212 seed = 8923402190,
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213 ):
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214 """
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215 Return a MeanCovRBM instance with randomly-initialized parameters.
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parents:
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216 """
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parents:
diff changeset
217
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parents:
diff changeset
218
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diff changeset
219 if 0:
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parents:
diff changeset
220 if P_init == 'diag':
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parents:
diff changeset
221 if n_K != n_F:
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parents:
diff changeset
222 raise ValueError('cannot use diagonal initialization of non-square P matrix')
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parents:
diff changeset
223 import scipy.sparse
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parents:
diff changeset
224 P = -scipy.sparse.identity(n_K).tocsr()
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parents:
diff changeset
225 else:
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parents:
diff changeset
226 raise NotImplementedError()
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parents:
diff changeset
227
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parents:
diff changeset
228 rng = np.random.RandomState(seed)
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parents:
diff changeset
229
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
230 # initialization taken from Marc'Aurelio
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parents:
diff changeset
231
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
232 return cls(
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parents:
diff changeset
233 U = numpy_project_onto_ball(rng.randn(n_I, n_F).T).T,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
234 W = rng.randn(n_I, n_J)/np.sqrt((n_I+n_J)/2),
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parents:
diff changeset
235 a = np.ones(n_I)*(-2),
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parents:
diff changeset
236 b = np.ones(n_K)*2,
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parents:
diff changeset
237 c = np.zeros(n_J),)
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parents:
diff changeset
238
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parents:
diff changeset
239 def __getstate__(self):
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parents:
diff changeset
240 # unpack shared containers, which may have references to Theano stuff
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parents:
diff changeset
241 # and are not a long-term stable data type.
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
242 return dict(
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parents:
diff changeset
243 U = self.U.value,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
244 W = self.W.value,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
245 b = self.b.value,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
246 c = self.c.value)
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parents:
diff changeset
247
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parents:
diff changeset
248 def __setstate__(self, dct):
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parents:
diff changeset
249 self.__init__(**dct) # calls as_shared on pickled arrays
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parents:
diff changeset
250
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
251 def hmc_sampler(self, n_particles=100, seed=7823748):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
252 return HMC_sampler(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
253 positions = [as_shared(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
254 np.random.RandomState(seed^20893).rand(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
255 n_particles,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
256 self.n_visible ))],
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
257 energy_fn = lambda p : self.free_energy_given_v(p[0]),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
258 seed=seed)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
259
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
260 def free_energy_given_v(self, v):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
261 return free_energy_given_v(self.params, v)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
262
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
263 def contrastive_gradient(self, pos_v, neg_v):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
264 """Return a list of gradient expressions for self.params
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
265
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
266 :param pos_v: positive-phase sample of visible units
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
267 :param neg_v: negative-phase sample of visible units
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
268 """
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
269 pos_FE = self.free_energy_given_v(pos_v)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
270 neg_FE = self.free_energy_given_v(neg_v)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
271
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
272 gpos_FE = theano.tensor.grad(pos_FE.sum(), self.params)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
273 gneg_FE = theano.tensor.grad(neg_FE.sum(), self.params)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
274 return [ gn - gp for (gp,gn) in zip(gpos_FE, gneg_FE)]
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
275
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
276 if __name__ == '__main__':
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
277
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
278 print >> sys.stderr, "TODO: use P matrix (aka FH matrix)"
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
279
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
280 R,C= 8,8 # the size of image patches
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
281 l1_penalty=1e-3
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
282 no_l1_epochs = 10
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
283
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
284 epoch_size=50000
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
285 batchsize = 128
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
286 lr = 0.075 / batchsize
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
287 s_lr = TT.scalar()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
288 n_K=256
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
289 n_F=256
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
290 n_J=100
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
291
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
292 rbm = MeanCovRBM.new_from_dims(n_I=R*C,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
293 n_K=n_K,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
294 n_J=n_J,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
295 n_F=n_F,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
296 )
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
297
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
298 sampler = rbm.hmc_sampler(n_particles=100)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
299
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
300 from pylearn.dataset_ops import image_patches
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
301
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
302 batch_idx = TT.iscalar()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
303 train_batch = image_patches.image_patches(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
304 s_idx = (batch_idx * batchsize + np.arange(batchsize)),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
305 dims = (1000,R,C),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
306 dtype=floatX,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
307 rasterized=True)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
308
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
309 grads = rbm.contrastive_gradient(pos_v=train_batch, neg_v=sampler.positions[0])
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
310
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
311 learn_fn = function([batch_idx, s_lr],
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
312 outputs=[
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
313 grads[0].norm(2),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
314 rbm.U.norm(2)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
315 ],
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
316 updates = sgd_updates(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
317 rbm.params,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
318 grads,
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
319 lr=[2*s_lr, .2*s_lr, .02*s_lr, .1*s_lr, .02*s_lr ]))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
320
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
321 for jj in xrange(10000):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
322 sampler.simulate()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
323 l2_of_Ugrad = learn_fn(jj, lr/max(1, jj/(20*epoch_size/batchsize)))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
324
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
325 if jj > no_l1_epochs * epoch_size/batchsize:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
326 rbm.U.value -= l1_penalty * np.sign(rbm.U.value)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
327 rbm.W.value -= l1_penalty * np.sign(rbm.W.value)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
328
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
329 if jj % 5 == 0:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
330 rbm.U.value = numpy_project_onto_ball(rbm.U.value.T).T
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
331
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
332 if ((jj < 10)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
333 or (jj < 100 and 0==jj%10)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
334 or (jj < 1000 and 0==jj%100)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
335 or (jj < 10000 and 0==jj%1000)):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
336 print 'saving samples', jj, 'epoch', jj/(epoch_size/batchsize), l2_of_Ugrad
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
337 print 'neg particles', sampler.positions[0].value.min(), sampler.positions[0].value.max()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
338 image_tiling.save_tiled_raster_images(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
339 image_tiling.tile_raster_images(sampler.positions[0].value, (R,C)),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
340 "sample_%06i.png"%jj)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
341 image_tiling.save_tiled_raster_images(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
342 image_tiling.tile_raster_images(rbm.U.value.T, (R,C)),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
343 "U_%06i.png"%jj)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
344 image_tiling.save_tiled_raster_images(
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
345 image_tiling.tile_raster_images(rbm.W.value.T, (R,C)),
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
346 "W_%06i.png"%jj)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
347
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
348
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
349
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
350 #
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
351 #
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
352 # Marc'Aurelio Ranzato's code
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
353 #
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
354 ######################################################################
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
355 # compute the value of the free energy at a given input
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
356 # F = - sum log(1+exp(- .5 FH (VF data/norm(data))^2 + bias_cov)) +...
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
357 # - sum log(1+exp(w_mean data + bias_mean)) + ...
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
358 # - bias_vis data + 0.5 data^2
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
359 # NOTE: FH is constrained to be positive
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
360 # (in the paper the sign is negative but the sign in front of it is also flipped)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
361 def compute_energy_mcRBM(data,normdata,vel,energy,VF,FH,bias_cov,bias_vis,w_mean,bias_mean,t1,t2,t6,feat,featsq,feat_mean,length,lengthsq,normcoeff,small,num_vis):
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
362 # normalize input data vectors
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
363 data.mult(data, target = t6) # DxP (nr input dims x nr samples)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
364 t6.sum(axis = 0, target = lengthsq) # 1xP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
365 lengthsq.mult(0.5, target = energy) # energy of quadratic regularization term
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
366 lengthsq.mult(1./num_vis) # normalize by number of components (like std)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
367
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
368 lengthsq.add(small) # small prevents division by 0
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
369 # energy_j = \sum_i 0.5 data_ij ^2
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
370 # lengthsq_j = 1/ (\sum_i data_ij ^2 + small)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
371 cmt.sqrt(lengthsq, target = length)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
372 # length_j = sqrt(lengthsq_j)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
373 length.reciprocal(target = normcoeff) # 1xP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
374 # normcoef_j = 1/sqrt(lengthsq_j)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
375 data.mult_by_row(normcoeff, target = normdata) # normalized data
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
376 # normdata is like data, but cols have unit L2 norm
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
377
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
378 ## potential
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
379 # covariance contribution
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
380 cmt.dot(VF.T, normdata, target = feat) # HxP (nr factors x nr samples)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
381 feat.mult(feat, target = featsq) # HxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
382
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
383 # featsq is the squared cosines (VF with data)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
384 cmt.dot(FH.T,featsq, target = t1) # OxP (nr cov hiddens x nr samples)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
385 t1.mult(-0.5)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
386 t1.add_col_vec(bias_cov) # OxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
387 cmt.exp(t1) # OxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
388 t1.add(1, target = t2) # OxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
389 cmt.log(t2)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
390 t2.mult(-1)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
391 energy.add_sums(t2, axis=0)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
392 # mean contribution
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
393 cmt.dot(w_mean.T, data, target = feat_mean) # HxP (nr mean hiddens x nr samples)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
394 feat_mean.add_col_vec(bias_mean) # HxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
395 cmt.exp(feat_mean)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
396 feat_mean.add(1)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
397 cmt.log(feat_mean)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
398 feat_mean.mult(-1)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
399 energy.add_sums(feat_mean, axis=0)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
400 # visible bias term
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
401 data.mult_by_col(bias_vis, target = t6)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
402 t6.mult(-1) # DxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
403 energy.add_sums(t6, axis=0) # 1xP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
404 # kinetic
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
405 vel.mult(vel, target = t6)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
406 energy.add_sums(t6, axis = 0, mult = .5)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
407
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
408 ######################################################
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
409 # mcRBM trainer: sweeps over the training set.
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
410 # For each batch of samples compute derivatives to update the parameters
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
411 # at the training samples and at the negative samples drawn calling HMC sampler.
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
412 def train_mcRBM():
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
413
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
414 config = ConfigParser()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
415 config.read('input_configuration')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
416
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
417 verbose = config.getint('VERBOSITY','verbose')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
418
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
419 num_epochs = config.getint('MAIN_PARAMETER_SETTING','num_epochs')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
420 batch_size = config.getint('MAIN_PARAMETER_SETTING','batch_size')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
421 startFH = config.getint('MAIN_PARAMETER_SETTING','startFH')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
422 startwd = config.getint('MAIN_PARAMETER_SETTING','startwd')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
423 doPCD = config.getint('MAIN_PARAMETER_SETTING','doPCD')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
424
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
425 # model parameters
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
426 num_fac = config.getint('MODEL_PARAMETER_SETTING','num_fac')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
427 num_hid_cov = config.getint('MODEL_PARAMETER_SETTING','num_hid_cov')
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
428 num_hid_mean = config.getint('MODEL_PARAMETER_SETTING','num_hid_mean')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
429 apply_mask = config.getint('MODEL_PARAMETER_SETTING','apply_mask')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
430
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
431 # load data
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
432 data_file_name = config.get('DATA','data_file_name')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
433 d = loadmat(data_file_name) # input in the format PxD (P vectorized samples with D dimensions)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
434 totnumcases = d["whitendata"].shape[0]
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
435 d = d["whitendata"][0:floor(totnumcases/batch_size)*batch_size,:].copy()
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
436 totnumcases = d.shape[0]
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
437 num_vis = d.shape[1]
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
438 num_batches = int(totnumcases/batch_size)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
439 dev_dat = cmt.CUDAMatrix(d.T) # VxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
440
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
441 # training parameters
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
442 epsilon = config.getfloat('OPTIMIZER_PARAMETERS','epsilon')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
443 epsilonVF = 2*epsilon
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
444 epsilonFH = 0.02*epsilon
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
445 epsilonb = 0.02*epsilon
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
446 epsilonw_mean = 0.2*epsilon
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
447 epsilonb_mean = 0.1*epsilon
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
448 weightcost_final = config.getfloat('OPTIMIZER_PARAMETERS','weightcost_final')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
449
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
450 # HMC setting
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
451 hmc_step_nr = config.getint('HMC_PARAMETERS','hmc_step_nr')
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
452 hmc_step = 0.01
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
453 hmc_target_ave_rej = config.getfloat('HMC_PARAMETERS','hmc_target_ave_rej')
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
454 hmc_ave_rej = hmc_target_ave_rej
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
455
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
456 # initialize weights
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
457 VF = cmt.CUDAMatrix(np.array(0.02 * np.random.randn(num_vis, num_fac), dtype=np.float32, order='F')) # VxH
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
458 if apply_mask == 0:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
459 FH = cmt.CUDAMatrix( np.array( np.eye(num_fac,num_hid_cov), dtype=np.float32, order='F') ) # HxO
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
460 else:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
461 dd = loadmat('your_FHinit_mask_file.mat') # see CVPR2010paper_material/topo2D_3x3_stride2_576filt.mat for an example
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
462 FH = cmt.CUDAMatrix( np.array( dd["FH"], dtype=np.float32, order='F') )
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
463 bias_cov = cmt.CUDAMatrix( np.array(2.0*np.ones((num_hid_cov, 1)), dtype=np.float32, order='F') )
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
464 bias_vis = cmt.CUDAMatrix( np.array(np.zeros((num_vis, 1)), dtype=np.float32, order='F') )
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
465 w_mean = cmt.CUDAMatrix( np.array( 0.05 * np.random.randn(num_vis, num_hid_mean), dtype=np.float32, order='F') ) # VxH
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
466 bias_mean = cmt.CUDAMatrix( np.array( -2.0*np.ones((num_hid_mean,1)), dtype=np.float32, order='F') )
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
467
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
468 # initialize variables to store derivatives
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
469 VFinc = cmt.CUDAMatrix( np.array(np.zeros((num_vis, num_fac)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
470 FHinc = cmt.CUDAMatrix( np.array(np.zeros((num_fac, num_hid_cov)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
471 bias_covinc = cmt.CUDAMatrix( np.array(np.zeros((num_hid_cov, 1)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
472 bias_visinc = cmt.CUDAMatrix( np.array(np.zeros((num_vis, 1)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
473 w_meaninc = cmt.CUDAMatrix( np.array(np.zeros((num_vis, num_hid_mean)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
474 bias_meaninc = cmt.CUDAMatrix( np.array(np.zeros((num_hid_mean, 1)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
475
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
476 # initialize temporary storage
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
477 data = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F')) # VxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
478 normdata = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F')) # VxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
479 negdataini = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F')) # VxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
480 feat = cmt.CUDAMatrix( np.array(np.empty((num_fac, batch_size)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
481 featsq = cmt.CUDAMatrix( np.array(np.empty((num_fac, batch_size)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
482 negdata = cmt.CUDAMatrix( np.array(np.random.randn(num_vis, batch_size), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
483 old_energy = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
484 new_energy = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
485 gradient = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F')) # VxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
486 normgradient = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F')) # VxP
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
487 thresh = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F'))
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
488 feat_mean = cmt.CUDAMatrix( np.array(np.empty((num_hid_mean, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
489 vel = cmt.CUDAMatrix( np.array(np.random.randn(num_vis, batch_size), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
490 length = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F')) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
491 lengthsq = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F')) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
492 normcoeff = cmt.CUDAMatrix( np.array(np.zeros((1, batch_size)), dtype=np.float32, order='F')) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
493 if apply_mask==1: # this used to constrain very large FH matrices only allowing to change values in a neighborhood
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
494 dd = loadmat('your_FHinit_mask_file.mat')
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
495 mask = cmt.CUDAMatrix( np.array(dd["mask"], dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
496 normVF = 1
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
497 small = 0.5
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
498
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
499 # other temporary vars
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
500 t1 = cmt.CUDAMatrix( np.array(np.empty((num_hid_cov, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
501 t2 = cmt.CUDAMatrix( np.array(np.empty((num_hid_cov, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
502 t3 = cmt.CUDAMatrix( np.array(np.empty((num_fac, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
503 t4 = cmt.CUDAMatrix( np.array(np.empty((1,batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
504 t5 = cmt.CUDAMatrix( np.array(np.empty((1,1)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
505 t6 = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
506 t7 = cmt.CUDAMatrix( np.array(np.empty((num_vis, batch_size)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
507 t8 = cmt.CUDAMatrix( np.array(np.empty((num_vis, num_fac)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
508 t9 = cmt.CUDAMatrix( np.array(np.zeros((num_fac, num_hid_cov)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
509 t10 = cmt.CUDAMatrix( np.array(np.empty((1,num_fac)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
510 t11 = cmt.CUDAMatrix( np.array(np.empty((1,num_hid_cov)), dtype=np.float32, order='F'))
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
511
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
512 # start training
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
513 for epoch in range(num_epochs):
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
514
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
515 print "Epoch " + str(epoch + 1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
516
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
517 # anneal learning rates
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
518 epsilonVFc = epsilonVF/max(1,epoch/20)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
519 epsilonFHc = epsilonFH/max(1,epoch/20)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
520 epsilonbc = epsilonb/max(1,epoch/20)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
521 epsilonw_meanc = epsilonw_mean/max(1,epoch/20)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
522 epsilonb_meanc = epsilonb_mean/max(1,epoch/20)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
523 weightcost = weightcost_final
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
524
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
525 if epoch <= startFH:
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
526 epsilonFHc = 0
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
527 if epoch <= startwd:
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
528 weightcost = 0
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
529
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
530 for batch in range(num_batches):
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
531
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
532 # get current minibatch
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
533 data = dev_dat.slice(batch*batch_size,(batch + 1)*batch_size) # DxP (nr dims x nr samples)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
534
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
535 # normalize input data
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
536 data.mult(data, target = t6) # DxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
537 t6.sum(axis = 0, target = lengthsq) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
538 lengthsq.mult(1./num_vis) # normalize by number of components (like std)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
539 lengthsq.add(small) # small avoids division by 0
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
540 cmt.sqrt(lengthsq, target = length)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
541 length.reciprocal(target = normcoeff) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
542 data.mult_by_row(normcoeff, target = normdata) # normalized data
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
543 ## compute positive sample derivatives
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
544 # covariance part
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
545 cmt.dot(VF.T, normdata, target = feat) # HxP (nr facs x nr samples)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
546 feat.mult(feat, target = featsq) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
547 cmt.dot(FH.T,featsq, target = t1) # OxP (nr cov hiddens x nr samples)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
548 t1.mult(-0.5)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
549 t1.add_col_vec(bias_cov) # OxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
550 t1.apply_sigmoid(target = t2) # OxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
551 cmt.dot(featsq, t2.T, target = FHinc) # HxO
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
552 cmt.dot(FH,t2, target = t3) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
553 t3.mult(feat)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
554 cmt.dot(normdata, t3.T, target = VFinc) # VxH
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
555 t2.sum(axis = 1, target = bias_covinc)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
556 bias_covinc.mult(-1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
557 # visible bias
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
558 data.sum(axis = 1, target = bias_visinc)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
559 bias_visinc.mult(-1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
560 # mean part
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
561 cmt.dot(w_mean.T, data, target = feat_mean) # HxP (nr mean hiddens x nr samples)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
562 feat_mean.add_col_vec(bias_mean) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
563 feat_mean.apply_sigmoid() # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
564 feat_mean.mult(-1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
565 cmt.dot(data, feat_mean.T, target = w_meaninc)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
566 feat_mean.sum(axis = 1, target = bias_meaninc)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
567
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
568 # HMC sampling: draw an approximate sample from the model
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
569 if doPCD == 0: # CD-1 (set negative data to current training samples)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
570 hmc_step, hmc_ave_rej = draw_HMC_samples(data,negdata,normdata,vel,gradient,normgradient,new_energy,old_energy,VF,FH,bias_cov,bias_vis,w_mean,bias_mean,hmc_step,hmc_step_nr,hmc_ave_rej,hmc_target_ave_rej,t1,t2,t3,t4,t5,t6,t7,thresh,feat,featsq,batch_size,feat_mean,length,lengthsq,normcoeff,small,num_vis)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
571 else: # PCD-1 (use previous negative data as starting point for chain)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
572 negdataini.assign(negdata)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
573 hmc_step, hmc_ave_rej = draw_HMC_samples(negdataini,negdata,normdata,vel,gradient,normgradient,new_energy,old_energy,VF,FH,bias_cov,bias_vis,w_mean,bias_mean,hmc_step,hmc_step_nr,hmc_ave_rej,hmc_target_ave_rej,t1,t2,t3,t4,t5,t6,t7,thresh,feat,featsq,batch_size,feat_mean,length,lengthsq,normcoeff,small,num_vis)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
574
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
575 # compute derivatives at the negative samples
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
576 # normalize input data
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
577 negdata.mult(negdata, target = t6) # DxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
578 t6.sum(axis = 0, target = lengthsq) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
579 lengthsq.mult(1./num_vis) # normalize by number of components (like std)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
580 lengthsq.add(small)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
581 cmt.sqrt(lengthsq, target = length)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
582 length.reciprocal(target = normcoeff) # 1xP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
583 negdata.mult_by_row(normcoeff, target = normdata) # normalized data
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
584 # covariance part
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
585 cmt.dot(VF.T, normdata, target = feat) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
586 feat.mult(feat, target = featsq) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
587 cmt.dot(FH.T,featsq, target = t1) # OxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
588 t1.mult(-0.5)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
589 t1.add_col_vec(bias_cov) # OxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
590 t1.apply_sigmoid(target = t2) # OxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
591 FHinc.subtract_dot(featsq, t2.T) # HxO
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
592 FHinc.mult(0.5)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
593 cmt.dot(FH,t2, target = t3) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
594 t3.mult(feat)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
595 VFinc.subtract_dot(normdata, t3.T) # VxH
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
596 bias_covinc.add_sums(t2, axis = 1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
597 # visible bias
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
598 bias_visinc.add_sums(negdata, axis = 1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
599 # mean part
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
600 cmt.dot(w_mean.T, negdata, target = feat_mean) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
601 feat_mean.add_col_vec(bias_mean) # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
602 feat_mean.apply_sigmoid() # HxP
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
603 w_meaninc.add_dot(negdata, feat_mean.T)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
604 bias_meaninc.add_sums(feat_mean, axis = 1)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
605
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
606 # update parameters
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
607 VFinc.add_mult(VF.sign(), weightcost) # L1 regularization
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
608 VF.add_mult(VFinc, -epsilonVFc/batch_size)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
609 # normalize columns of VF: normalize by running average of their norm
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
610 VF.mult(VF, target = t8)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
611 t8.sum(axis = 0, target = t10)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
612 cmt.sqrt(t10)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
613 t10.sum(axis=1,target = t5)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
614 t5.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
615 normVF = .95*normVF + (.05/num_fac) * t5.numpy_array[0,0] # estimate norm
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
616 t10.reciprocal()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
617 VF.mult_by_row(t10)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
618 VF.mult(normVF)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
619 bias_cov.add_mult(bias_covinc, -epsilonbc/batch_size)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
620 bias_vis.add_mult(bias_visinc, -epsilonbc/batch_size)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
621
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
622 if epoch > startFH:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
623 FHinc.add_mult(FH.sign(), weightcost) # L1 regularization
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
624 FH.add_mult(FHinc, -epsilonFHc/batch_size) # update
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
625 # set to 0 negative entries in FH
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
626 FH.greater_than(0, target = t9)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
627 FH.mult(t9)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
628 if apply_mask==1:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
629 FH.mult(mask)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
630 # normalize columns of FH: L1 norm set to 1 in each column
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
631 FH.sum(axis = 0, target = t11)
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
632 t11.reciprocal()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
633 FH.mult_by_row(t11)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
634 w_meaninc.add_mult(w_mean.sign(),weightcost)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
635 w_mean.add_mult(w_meaninc, -epsilonw_meanc/batch_size)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
636 bias_mean.add_mult(bias_meaninc, -epsilonb_meanc/batch_size)
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
637
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
638 if verbose == 1:
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
639 print "VF: " + '%3.2e' % VF.euclid_norm() + ", DVF: " + '%3.2e' % (VFinc.euclid_norm()*(epsilonVFc/batch_size)) + ", FH: " + '%3.2e' % FH.euclid_norm() + ", DFH: " + '%3.2e' % (FHinc.euclid_norm()*(epsilonFHc/batch_size)) + ", bias_cov: " + '%3.2e' % bias_cov.euclid_norm() + ", Dbias_cov: " + '%3.2e' % (bias_covinc.euclid_norm()*(epsilonbc/batch_size)) + ", bias_vis: " + '%3.2e' % bias_vis.euclid_norm() + ", Dbias_vis: " + '%3.2e' % (bias_visinc.euclid_norm()*(epsilonbc/batch_size)) + ", wm: " + '%3.2e' % w_mean.euclid_norm() + ", Dwm: " + '%3.2e' % (w_meaninc.euclid_norm()*(epsilonw_meanc/batch_size)) + ", bm: " + '%3.2e' % bias_mean.euclid_norm() + ", Dbm: " + '%3.2e' % (bias_meaninc.euclid_norm()*(epsilonb_meanc/batch_size)) + ", step: " + '%3.2e' % hmc_step + ", rej: " + '%3.2e' % hmc_ave_rej
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James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
640 sys.stdout.flush()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
641 # back-up every once in a while
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
642 if np.mod(epoch,10) == 0:
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
643 VF.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
644 FH.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
645 bias_cov.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
646 w_mean.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
647 bias_mean.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
648 bias_vis.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
649 savemat("ws_temp", {'VF':VF.numpy_array,'FH':FH.numpy_array,'bias_cov': bias_cov.numpy_array, 'bias_vis': bias_vis.numpy_array,'w_mean': w_mean.numpy_array, 'bias_mean': bias_mean.numpy_array, 'epoch':epoch})
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
650 # final back-up
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
651 VF.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
652 FH.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
653 bias_cov.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
654 bias_vis.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
655 w_mean.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
656 bias_mean.copy_to_host()
90e11d5d0a41 adding algorithms/mcRBM, but it is not done yet
James Bergstra <bergstrj@iro.umontreal.ca>
parents:
diff changeset
657 savemat("ws_fac" + str(num_fac) + "_cov" + str(num_hid_cov) + "_mean" + str(num_hid_mean), {'VF':VF.numpy_array,'FH':FH.numpy_array,'bias_cov': bias_cov.numpy_array, 'bias_vis': bias_vis.numpy_array, 'w_mean': w_mean.numpy_array, 'bias_mean': bias_mean.numpy_array, 'epoch':epoch})