In [1]:
import collections
import tensorflow as tf
from tensorflow.examples.tutorials.mnist import input_data
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.image as mpimg
import sklearn
import seaborn as sns
from sklearn import svm
from my_rbm import Rbm
import six.moves.cPickle as pickle
import sys
from pandas import *
from sklearn.preprocessing import OneHotEncoder
from yadlt.models.rbm_models import dbn
%matplotlib inline

In [2]:
mnist = input_data.read_data_sets("MNIST_data/", one_hot=False)
train_images = mnist.train.images
test_images = mnist.test.images


Extracting MNIST_data/train-images-idx3-ubyte.gz
Extracting MNIST_data/train-labels-idx1-ubyte.gz
Extracting MNIST_data/t10k-images-idx3-ubyte.gz
Extracting MNIST_data/t10k-labels-idx1-ubyte.gz

In [8]:
num_hidden = 64
num_epochs=10
rbm = Rbm(num_hidden=num_hidden, num_classes=10, num_features=784, learning_rate=0.01)
rbm.init_rbm()
rbm.fit(mnist.train.images, mnist.test.images, num_epochs=num_epochs)


Number of features: 784
Number of classes: 10
logit shape:  (?, 10)
batch_labels shape:  (?, 10)
epoch: 0
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.160803
epoch: 1
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.149739
epoch: 2
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.144336
epoch: 3
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.141112
epoch: 4
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.138709
epoch: 5
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.136846
epoch: 6
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.135343
epoch: 7
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.134035
epoch: 8
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.132901
epoch: 9
batch_number: 0
batch_number: 1000
batch_number: 2000
batch_number: 3000
batch_number: 4000
batch_number: 5000
rec_loss: 0.131953

In [79]:
probs_index = dict()
probs = dict()
probs_avg = dict()
probs_min = dict()
probs_max = dict()
probs_std = dict()
x = [i for i in range(num_hidden)]
for i in range(10):
    probs_index[i] = [idx for idx, label in enumerate(mnist.train.labels) if i == mnist.train.labels[idx]]
    probs[i] = [rbm.get_h_prob_out([mnist.train.images[idx]])[0] for idx in probs_index[i]]
    probs_avg[i] = np.average(probs[i], axis=0)
    probs_min[i] = np.min(probs[i], axis=0)
    probs_max[i] = np.max(probs[i], axis=0)
    probs_std[i] = np.std(probs[i], axis=0)

In [30]:
num = 0
sorted_indexes = np.argsort(probs_avg[num])
for i in range(10):
    probs_avg[i] = [probs_avg[i][j] for j in sorted_indexes]
col_num = 10
plt.figure()
plt.suptitle('Average of activation probabilities after %s epochs, sorted by number: %s' % (num_epochs, str(num)))
for cidx in range(col_num):
    plt.subplot(col_num, 1, cidx + 1, axisbg='white')
    plt.bar(x, probs_avg[cidx])
    plt.xticks(())
    plt.yticks(())



In [31]:
num = 0
sorted_indexes = np.argsort(probs_avg[num])
for i in range(10):
    probs_min[i] = [probs_min[i][j] for j in sorted_indexes]
col_num = 10
plt.figure()
plt.suptitle('Minimum of activation probabilities after %s epochs, sorted by number: %s' % (num_epochs, str(num)))
for cidx in range(col_num):
    plt.subplot(col_num, 1, cidx + 1, axisbg='white')
    plt.bar(x, probs_min[cidx])
    plt.xticks(())
    plt.yticks(())



In [32]:
num = 0
sorted_indexes = np.argsort(probs_avg[num])
for i in range(10):
    probs_max[i] = [probs_max[i][j] for j in sorted_indexes]
col_num = 10
plt.figure()
plt.suptitle('Maximum of activation probabilities after %s epochs, sorted by number: %s' % (num_epochs, str(num)))
for cidx in range(col_num):
    plt.subplot(col_num, 1, cidx + 1, axisbg='white')
    plt.bar(x, probs_max[cidx])
    plt.xticks(())
    plt.yticks(())



In [111]:
num = 0
sorted_indexes = np.argsort(probs_avg[num])
for i in range(10):
    probs_std[i] = [probs_std[i][j] for j in sorted_indexes]
col_num = 10
plt.figure()
plt.suptitle('Standard deviation of the activation probabilities after %s epochs, sorted by number: %s' % (num_epochs, str(num)))
for cidx in range(col_num):
    plt.subplot(col_num, 1, cidx + 1, axisbg='white')
    plt.bar(x, probs_std[cidx])
    plt.xticks(())
    plt.yticks(())



In [110]:
num = 0
sorted_indexes = np.argsort(probs_std[num])
for i in range(10):
    probs_std[i] = [probs_std[i][j] for j in sorted_indexes]
col_num = 10
plt.figure()
plt.suptitle('Average of activation probabilities after %s epochs, sorted by number: %s' % (num_epochs, str(num)))
for cidx in range(col_num):
    plt.subplot(col_num, 1, cidx + 1, axisbg='white')
    plt.bar(x, probs_std[cidx])
    plt.xticks(())
    plt.yticks(())



In [41]:
probs_std_df = DataFrame(probs_std)

In [42]:
sns.heatmap(probs_std_df.transpose().corr(), xticklabels=False, yticklabels=True)


Out[42]:
<matplotlib.axes._subplots.AxesSubplot at 0x7fdefeed7dd8>

In [112]:
num = 0
sorted_indexes = np.argsort(probs_std[num])
sorted_zero_probs = np.array(probs[0])[:,sorted_indexes]

In [106]:
sorted_zero_probs.shape


Out[106]:
(5444, 64)

In [78]:
probs_std_df


Out[78]:
0 1 2 3 4 5 6 7 8 9 ... 54 55 56 57 58 59 60 61 62 63
0 1.021952e-06 9.870780e-01 1.192071e-11 1.341175e-01 4.549682e-21 0.999999 5.657776e-10 2.846777e-07 8.047195e-22 5.010798e-01 ... 6.756461e-08 9.994231e-01 1.378419e-17 9.999770e-01 3.454823e-14 9.999672e-01 2.179784e-12 1.779409e-06 7.988060e-01 1.000000
1 1.000000e+00 1.000000e+00 9.980527e-01 8.983456e-02 1.793834e-07 0.999974 5.559444e-11 1.248095e-01 5.753697e-17 9.997521e-01 ... 4.034987e-10 9.999999e-01 5.651632e-24 3.066431e-01 3.468188e-17 9.999593e-01 3.980749e-11 7.838909e-01 4.243384e-17 0.016025
2 9.708478e-06 9.923098e-01 1.161718e-09 9.798852e-05 1.057574e-21 0.999999 3.779723e-07 4.659127e-04 4.607709e-19 9.991634e-01 ... 1.900148e-11 1.000000e+00 7.795302e-13 1.000000e+00 8.278665e-15 9.548029e-01 9.304936e-15 2.982033e-06 9.999976e-01 1.000000
3 8.227582e-08 5.950965e-09 1.428391e-15 9.996890e-01 3.485249e-14 0.029861 2.018357e-11 5.183554e-11 1.808444e-25 2.313454e-11 ... 1.023974e-03 8.787958e-06 6.330463e-26 3.749080e-01 1.641566e-09 1.000000e+00 3.249068e-10 9.905946e-01 2.970900e-12 1.000000
4 9.999330e-01 1.000000e+00 6.966294e-02 2.678493e-03 2.644970e-08 1.000000 4.949141e-05 6.099035e-05 1.556003e-13 9.999994e-01 ... 1.676110e-08 9.999996e-01 3.271447e-11 3.181145e-03 7.942609e-13 2.597088e-01 6.319578e-08 2.089847e-02 3.407834e-03 0.640045
5 9.991748e-01 2.394171e-08 5.586800e-09 9.769082e-01 2.052519e-13 0.999617 4.446306e-04 1.201399e-08 4.380617e-12 8.474043e-13 ... 5.598526e-07 2.360338e-11 8.341496e-15 4.235176e-07 1.706484e-08 9.999892e-01 5.849971e-01 1.713555e-08 5.620606e-17 0.996651
6 2.685455e-02 2.731774e-06 4.959186e-16 1.367670e-02 7.944410e-21 0.999984 8.561195e-11 3.376000e-12 2.982447e-20 4.955029e-04 ... 4.766821e-08 9.999038e-01 1.643170e-09 1.000000e+00 9.189185e-11 9.999785e-01 7.028335e-10 1.301266e-06 4.597659e-01 1.000000
7 2.167441e-07 8.942975e-02 4.193588e-13 9.977685e-01 7.906502e-20 1.000000 9.098262e-06 1.647725e-11 8.175469e-17 6.390858e-03 ... 9.999840e-01 1.728023e-05 6.033769e-05 9.851292e-01 1.005331e-13 1.299980e-03 2.245874e-20 2.119237e-09 9.999998e-01 0.988409
8 2.417483e-03 9.994821e-01 1.385960e-12 9.989691e-01 8.802700e-26 0.999975 6.169133e-13 1.188910e-11 2.711694e-23 1.411204e-09 ... 2.899368e-12 1.731552e-01 3.920958e-24 1.000000e+00 2.838252e-18 9.999906e-01 1.461133e-13 1.870899e-03 1.648054e-16 0.999993
9 8.862295e-04 2.220302e-02 8.275414e-01 9.994677e-01 9.993650e-01 0.519846 9.999729e-01 5.332419e-01 3.807702e-09 4.961229e-04 ... 6.236552e-06 9.998966e-01 7.341923e-01 7.727008e-01 1.560463e-04 1.743022e-05 5.540459e-09 1.394326e-07 9.036386e-01 1.000000
10 1.317435e-11 4.480606e-14 5.050300e-19 9.460054e-05 2.449723e-19 0.999380 9.561468e-07 1.696448e-10 9.385913e-19 1.141833e-04 ... 4.868625e-03 8.732408e-02 1.054375e-07 1.000000e+00 3.947374e-08 6.549042e-01 4.255220e-08 2.574639e-07 9.999994e-01 1.000000
11 5.050360e-02 5.750517e-09 2.482358e-14 6.178762e-05 1.841831e-14 0.998154 3.576534e-09 2.680806e-07 1.557610e-16 7.046629e-03 ... 9.415256e-06 9.968246e-01 6.095481e-09 9.970415e-01 2.437073e-09 9.999988e-01 8.668666e-09 5.128673e-03 9.999987e-01 1.000000
12 1.000000e+00 9.365660e-01 1.054696e-13 6.779364e-01 5.992769e-16 1.000000 1.484478e-12 3.398639e-12 2.683067e-17 1.060891e-03 ... 5.026917e-08 9.996159e-01 3.059184e-16 6.310638e-01 1.386166e-16 5.209454e-01 7.657175e-10 1.482163e-01 4.347675e-14 0.031744
13 4.239189e-04 4.624874e-05 4.608470e-13 9.127667e-01 9.067655e-19 1.000000 2.356755e-13 6.810924e-11 1.230281e-20 5.328056e-05 ... 1.602435e-03 9.965706e-01 6.257354e-11 1.000000e+00 2.064721e-10 9.992780e-01 2.534612e-11 6.051499e-08 9.999356e-01 1.000000
14 9.999636e-01 1.000000e+00 1.297935e-04 9.975775e-01 3.771794e-19 1.000000 6.883129e-15 1.679309e-07 1.402046e-23 9.916623e-01 ... 8.737183e-14 9.999647e-01 1.828036e-27 9.998165e-01 7.614345e-21 4.405795e-02 7.754424e-15 1.083116e-05 1.598856e-10 0.999962
15 5.142549e-01 7.629129e-06 2.926319e-16 1.000000e+00 5.569953e-18 1.000000 2.538045e-12 1.513892e-16 5.654021e-18 2.596466e-06 ... 6.311589e-04 1.048297e-05 5.746568e-17 1.000000e+00 1.920400e-10 9.974970e-01 5.195600e-11 1.959512e-04 3.901666e-03 1.000000
16 1.202144e-08 1.783337e-02 3.365777e-12 5.235417e-01 5.597707e-18 0.999989 1.373462e-06 6.733227e-08 1.516360e-16 9.999267e-01 ... 8.208282e-01 2.225726e-03 1.877945e-01 9.999510e-01 3.867526e-12 3.806027e-08 3.140755e-14 3.863775e-11 1.000000e+00 1.000000
17 9.987410e-01 9.999524e-01 1.476295e-02 7.894914e-01 2.076465e-06 0.942467 3.678207e-04 7.488677e-01 4.073972e-09 9.999788e-01 ... 1.676723e-08 9.999951e-01 4.879634e-10 9.998550e-01 1.834488e-04 1.000000e+00 4.726859e-04 9.993293e-01 1.175854e-02 0.999325
18 8.309701e-08 3.620636e-11 1.780079e-20 3.841161e-01 2.832787e-20 1.000000 5.434576e-11 2.749071e-11 5.855355e-23 2.497516e-06 ... 6.314891e-01 1.392328e-03 3.097803e-05 9.975205e-01 3.367373e-14 2.450561e-05 1.076156e-09 5.983775e-14 9.999979e-01 1.000000
19 1.038825e-14 2.050894e-04 3.045664e-17 3.674582e-01 7.324940e-27 0.999812 4.486238e-08 1.481210e-09 1.817573e-18 1.055505e-02 ... 2.831018e-03 6.286415e-07 8.796480e-01 1.000000e+00 1.656710e-21 7.343993e-12 1.136903e-21 1.579862e-20 1.000000e+00 1.000000
20 1.120021e-06 3.541684e-16 6.279441e-21 5.134537e-05 3.120989e-21 0.999997 2.260390e-10 3.094122e-17 1.141779e-22 3.565330e-09 ... 5.957332e-06 1.970498e-06 7.330223e-12 9.955569e-01 1.177317e-12 7.008506e-02 3.074711e-07 1.125356e-10 9.999982e-01 1.000000
21 5.659013e-01 3.420873e-06 8.129894e-20 9.999325e-01 2.387429e-21 1.000000 4.130053e-13 7.416946e-18 3.340284e-20 2.265385e-05 ... 4.489754e-09 1.364205e-01 7.495658e-05 1.000000e+00 7.696533e-18 1.722140e-08 1.023043e-10 5.242204e-15 9.722002e-01 1.000000
22 1.000000e+00 9.999999e-01 9.997620e-01 6.671253e-07 6.448086e-02 0.999710 2.061506e-10 3.679773e-01 3.522152e-13 9.919917e-01 ... 2.451915e-08 9.998497e-01 1.161944e-20 9.657949e-05 1.414223e-15 9.967774e-01 9.024378e-20 1.937026e-01 1.280439e-13 0.000081
23 1.185762e-03 9.980088e-01 1.521373e-04 9.999982e-01 1.251821e-13 1.000000 1.973531e-08 2.944755e-07 7.481348e-15 2.124184e-11 ... 9.997813e-01 5.414107e-09 1.198818e-14 2.979600e-08 7.971677e-12 7.343622e-04 6.978547e-11 5.978247e-16 2.451543e-04 1.000000
24 1.099304e-02 9.999861e-01 8.944965e-01 1.000000e+00 2.496656e-13 0.999360 1.140241e-02 3.330669e-05 2.988559e-07 3.465924e-02 ... 6.826553e-06 4.379016e-06 1.253538e-10 9.999999e-01 1.296984e-06 2.803870e-01 2.340901e-04 9.913709e-01 8.804094e-11 0.000213
25 4.240204e-03 1.445789e-01 1.405588e-08 1.000000e+00 1.531283e-14 1.000000 1.729819e-05 8.882413e-10 4.770085e-12 1.789720e-09 ... 5.680617e-03 2.748635e-12 3.316715e-22 3.077693e-01 1.674313e-09 9.999676e-01 2.549005e-08 8.848881e-01 4.158093e-15 1.000000
26 8.368778e-04 1.147602e-07 1.583347e-16 1.447233e-02 2.208459e-20 1.000000 1.415604e-09 5.804726e-12 2.635731e-18 2.173463e-02 ... 1.239672e-09 5.021324e-01 1.514774e-05 9.999996e-01 2.454159e-17 3.440427e-08 2.196559e-11 2.484007e-17 1.000000e+00 1.000000
27 3.310761e-01 2.930171e-03 1.056079e-09 9.999985e-01 2.256974e-17 1.000000 1.619426e-10 1.559208e-10 3.044125e-21 2.392422e-12 ... 2.030540e-07 1.492176e-07 2.918957e-26 2.961091e-06 2.655736e-13 7.978318e-01 2.466174e-15 3.420398e-01 3.439534e-23 1.000000
28 9.999920e-01 9.999735e-01 4.896721e-05 9.998983e-01 5.254463e-13 0.999999 3.784971e-10 1.434037e-04 1.278284e-14 3.140891e-02 ... 1.415681e-07 9.999998e-01 4.209231e-20 1.509944e-01 1.625012e-12 9.999999e-01 5.256879e-09 2.414973e-01 3.188155e-12 1.000000
29 9.999967e-01 8.142858e-02 2.626480e-03 4.884553e-03 1.393427e-18 1.000000 1.766616e-13 1.206243e-09 2.661336e-23 1.481387e-07 ... 5.412988e-14 9.963380e-01 2.599486e-24 1.029157e-06 4.035411e-21 1.630849e-05 1.838413e-21 9.556539e-10 8.962274e-22 1.000000
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
34 3.249706e-01 3.552199e-01 2.196391e-07 6.377316e-05 5.638605e-16 0.999999 1.982544e-03 5.425976e-03 1.629341e-12 9.907981e-01 ... 2.077173e-09 1.000000e+00 1.129566e-03 9.997600e-01 2.335734e-18 2.931212e-03 8.202640e-11 1.324842e-09 1.000000e+00 1.000000
35 6.607993e-01 1.760286e-02 2.381161e-11 2.536276e-06 2.021626e-17 0.999871 4.970398e-06 3.334848e-05 4.025106e-15 9.996200e-01 ... 2.202493e-09 9.999397e-01 4.638384e-01 9.999998e-01 3.863128e-14 3.766026e-03 3.042216e-09 2.991886e-10 9.999976e-01 1.000000
36 9.988958e-01 1.000000e+00 1.464015e-03 7.580599e-01 2.524052e-14 0.999949 1.847231e-07 4.455394e-04 5.180182e-15 9.998858e-01 ... 2.438689e-11 1.000000e+00 1.496663e-19 9.803801e-01 2.776316e-13 9.999996e-01 4.079298e-09 9.989135e-01 2.371952e-09 0.500848
37 9.219725e-01 9.999989e-01 9.997812e-01 9.560419e-01 9.838821e-01 0.970179 3.410790e-01 2.040671e-01 1.298291e-05 9.999958e-01 ... 2.200904e-05 9.999983e-01 1.137704e-07 2.835801e-01 9.905963e-06 9.982759e-01 4.767956e-05 2.611832e-01 9.256761e-02 0.492449
38 1.897893e-03 9.994598e-01 5.160910e-01 1.000000e+00 8.515393e-09 0.999999 7.483844e-01 2.797722e-05 6.672705e-06 7.197051e-01 ... 9.933048e-01 2.887696e-07 8.283534e-07 9.705650e-01 5.957594e-10 9.844601e-01 1.145256e-14 7.394829e-01 9.935375e-01 0.022070
39 9.937832e-01 9.616503e-01 1.733647e-09 1.409005e-04 2.003371e-16 0.999963 3.802618e-11 6.597363e-04 3.117255e-20 9.806815e-01 ... 1.822646e-10 1.000000e+00 3.963714e-16 9.930552e-01 1.434030e-16 9.999872e-01 1.471864e-12 1.904872e-04 1.536857e-01 1.000000
40 9.997259e-01 1.718591e-10 3.227943e-21 6.708593e-03 5.928691e-24 0.999091 5.969295e-11 9.834659e-20 1.765861e-21 5.523555e-09 ... 1.251187e-11 7.680646e-05 1.716145e-16 9.996839e-01 4.863693e-16 9.486986e-01 8.479529e-12 3.153429e-06 1.044087e-07 0.999919
41 4.234753e-01 9.990760e-01 1.117676e-05 3.586665e-06 3.777775e-24 0.967250 4.055259e-12 7.367581e-06 2.262739e-26 1.022570e-06 ... 1.298807e-19 6.897076e-01 5.545281e-31 9.999999e-01 1.686123e-20 5.374770e-01 1.106699e-18 9.997025e-01 3.453353e-22 0.999966
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64 rows × 64 columns


In [76]:
probs[0]


Out[76]:
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          1.00000000e+00], dtype=float32),
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          2.79469059e-05,   9.99999762e-01,   1.35238653e-14,
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          1.00000000e+00,   1.68484251e-21,   1.81931168e-01,
          4.04911163e-17,   6.60772718e-17,   4.33233596e-04,
          8.79170055e-13,   9.99785960e-01,   1.88716230e-12,
          8.46423328e-01,   8.15537948e-09,   1.97922271e-02,
          9.99718964e-01,   4.61036642e-18,   8.42302029e-07,
          2.06066989e-13,   1.69306137e-16,   1.00000000e+00,
          1.00000000e+00], dtype=float32)]

In [113]:
sns.boxplot(data=sorted_zero_probs)


Out[113]:
<matplotlib.axes._subplots.AxesSubplot at 0x7fde66b41668>

In [109]:
sns.violinplot(data=sorted_zero_probs)


Out[109]:
<matplotlib.axes._subplots.AxesSubplot at 0x7fde66b57940>

In [99]:
zero_probs = np.array(probs[0])

In [101]:
zero_probs[]


Out[101]:
(5444, 64)

In [91]:
zero_probs[0]


Out[91]:
array([  1.02195236e-06,   1.00000000e+00,   9.70847759e-06, ...,
         2.75358274e-12,   4.13430114e-13,   2.84496142e-11], dtype=float32)

In [ ]: