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model.py
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model.py
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import operator
import os
import pickle as pkl
from copy import copy
from sys import stdout
import numpy as np
import pandas as pd
import tensorflow as tf
# from util import encode_labels
import time
from sklearn.metrics import roc_auc_score
from sklearn.metrics import roc_curve
from tensorflow.contrib.tensorboard.plugins import projector
import matplotlib.pyplot as plt
# from util import get_data
from util import build_dictionary
class skipthought(object):
def __init__(self, mode, path, folds, embedding_size, hidden_size, hidden_layers, batch_size, keep_prob_dropout, L2,
learning_rate, val_size, bidirectional, mask, num_epochs=100):
self.mode = mode
self.path = path
self.folds = folds
self.embedding_size = embedding_size
self.hidden_size = hidden_size
self.hidden_layers = hidden_layers
self.batch_size = batch_size
self.keep_prob_dropout = keep_prob_dropout
self.L2 = L2
self.learning_rate = learning_rate
self.val_size = val_size
self.bidirectional = bidirectional
self.num_epochs = num_epochs
self.mask = mask
def save_model(self, session, epoch):
'''
Helper function to save the TF graph
'''
if not os.path.exists('./model/'):
os.mkdir('./model/')
saver = tf.train.Saver(write_version=tf.train.SaverDef.V2)
if not os.path.exists('./model/epoch_%d.checkpoint' % epoch):
saver.save(session, './model/epoch_%d.checkpoint' % epoch)
else:
saver.save(session, './model/epoch_%d.checkpoint' % epoch)
def embed_data(self, data):
'''
Takes a batch of amino acids as input and embeds them using the current embedding matrix.
'''
return tf.nn.embedding_lookup(self.word_embeddings, data)
def encoder(self, sentences_embedded, sentences_lengths, dropout, bidirectional=False):
'''
This functions uses a GRU cell to encode amino acid sequences
Takes as inputs
- embedded amino acid sequences
- the corresponding sequence lengths
- the dropout keep-probability and
- a flag for whether a one-directional or bidirectional model shall be trained
Returns the last memory state of the GRU cell
'''
with tf.variable_scope("encoder") as varscope:
cell = tf.contrib.rnn.GRUCell(self.hidden_size)
cell = tf.contrib.rnn.DropoutWrapper(cell, input_keep_prob=dropout)
cell = tf.contrib.rnn.MultiRNNCell([cell] * self.hidden_layers, state_is_tuple=True)
if bidirectional:
print('Training bidirectional RNN')
sentences_outputs, sentences_states = tf.nn.bidirectional_dynamic_rnn(cell, cell,
inputs=sentences_embedded,
sequence_length=sentences_lengths,
dtype=tf.float32)
states_fw, states_bw = sentences_states
sentences_states_h = tf.concat([states_fw[-1], states_bw[-1]], axis=1)
print(sentences_states)
print(states_fw)
print(sentences_states_h)
else:
print('Training one-directional RNN')
sentences_outputs, sentences_states = tf.nn.dynamic_rnn(cell,
inputs=sentences_embedded,
sequence_length=sentences_lengths,
dtype=tf.float32)
sentences_states_h = sentences_states[-1]
print(sentences_states_h)
return sentences_states_h
def get_CE_loss(self, labels, logits):
'''
Takes as inputs:
- true labels for each amino acid sequence in the batch
- predicted logits for each amino acid sequence in the batch
Returns the mean cross entropy loss for this batch
'''
return tf.reduce_mean(tf.nn.sparse_softmax_cross_entropy_with_logits(labels=labels, logits=logits))
def get_L2_loss(self):
'''
Returns the L2 loss from all parameters of the model (excluding biases)
'''
all_vars = tf.trainable_variables()
return tf.add_n([tf.nn.l2_loss(v) for v in all_vars if 'bias' not in v.name]) * self.L2
def batch_norm_wrapper(self, inputs, is_training, decay=0.999):
'''
Takes as input the inputs that go into a layer of the network.
Returns the normalised (with respect to batch mean and variance) inputs
Adopted from: http://r2rt.com/implementing-batch-normalization-in-tensorflow.html
'''
scale = tf.Variable(tf.ones([inputs.get_shape()[-1]]))
beta = tf.Variable(tf.zeros([inputs.get_shape()[-1]]))
pop_mean = tf.Variable(tf.zeros([inputs.get_shape()[-1]]), trainable=False)
pop_var = tf.Variable(tf.ones([inputs.get_shape()[-1]]), trainable=False)
if is_training:
batch_mean, batch_var = tf.nn.moments(inputs, [0])
train_mean = tf.assign(pop_mean,
pop_mean * decay + batch_mean * (1 - decay))
train_var = tf.assign(pop_var,
pop_var * decay + batch_var * (1 - decay))
with tf.control_dependencies([train_mean, train_var]):
return tf.nn.batch_normalization(inputs,
batch_mean, batch_var, beta, scale, 0.0001)
else:
return tf.nn.batch_normalization(inputs,
pop_mean, pop_var, beta, scale, 0.0001)
def summary_stats(self, lengths, labels, name):
'''
Takes as input the lengths and labels of amino acid sequences
Prints and returns pandas dataframes containing descriptive statistics
'''
bins = [0, 100, 500, 1000, 1500, 1999]
labels_string = ['cyto', 'secreted', 'mito', 'nucleus']
df = pd.DataFrame({'length': lengths, 'label': labels})
table = pd.crosstab(np.digitize(df.length, bins), df.label)
table.index = pd.Index(['[0, 100)', '[100, 500)', '[500, 1000]', '[1000, 1500)', '[1500, 2000)', '[2000, inf]'],
name="Bin")
table.columns = pd.Index(labels_string, name="Class")
sum_row = {col: table[col].sum() for col in table}
sum_df = pd.DataFrame(sum_row, index=["Total"])
table = table.append(sum_df)
table['Total'] = table.sum(axis=1)
print('\n~~~~~~~ Summary stats for %s set ~~~~~~~' % name)
print('\nCount of sequence lengths by class')
print(table)
print('\nDescriptive statistics')
print(df.describe())
return df, table
def confusion(self, gold, prediction, lengths, min_length=0, max_length=np.inf):
'''
Takes as input the gold and predicted labels
Returns a pandas dataframe containing a confusion matrix
'''
labels_string = ['cyto', 'secreted', 'mito', 'nucleus']
a = lengths > min_length
b = lengths < max_length
mask = a * b
y_hat = pd.Series(prediction[mask], name='Predicted')
y = pd.Series(gold[mask], name='Actual')
df_confusion = pd.crosstab(y, y_hat)
sum_row = {col: df_confusion[col].sum() for col in df_confusion}
sum_df = pd.DataFrame(sum_row, index=["Total"])
df_confusion = df_confusion.append(sum_df)
df_confusion['Total'] = df_confusion.sum(axis=1)
# df_confusion.index = pd.Index(labels_string)
# df_confusion.rows = pd.Index(labels_string)
return df_confusion
def run(self):
'''
Runs the model according to the specified settings
- If mode = Train: Train a GRU model using the training data
- If mode = Val: Load the saved GRU model and evaluate it on the validation fold
- If mode = Test: Load the saved GRU model and evaluate it on the blind test set
'''
self.is_train = (self.mode == 'Train')
if not os.path.exists(self.path):
os.mkdir(self.path)
# Load the training data
with open('train_data.pkl', 'rb') as f:
data_sequences = pkl.load(f)
with open('train_labels.pkl', 'rb') as f:
data_labels = pkl.load(f)
dictionary, reverse_dictionary, data_lengths, self.max_seq_len, enc_sequences = build_dictionary(data_sequences)
self.dictionary = sorted(dictionary.items(), key=operator.itemgetter(1))
print(self.dictionary)
self.vocabulary_size = len(dictionary)
self.val_size = len(data_sequences) // self.folds
fold = self.mask
print('Training fold number %d. Each fold of size %d' % (fold, len(data_sequences) // self.folds))
# Truncates sequences at length 2000 and returns descriptive statistics.
# This is done by concatenating the first 1900 and the last 100 amino acids.
if self.is_train:
self.max_seq_len = 2000
original_lengths = copy(data_lengths)
data_sequences = enc_sequences[:, :self.max_seq_len]
for i in range(len(data_lengths)):
if data_lengths[i] > self.max_seq_len:
data_sequences[i] = np.concatenate(
(enc_sequences[i, :self.max_seq_len - 100], enc_sequences[i, -100:]), axis=0)
data_lengths[i] = self.max_seq_len
if self.folds == 1:
val_mask = np.array([False])
else:
val_mask = np.arange(self.val_size * (fold - 1), self.val_size * (fold))
# Use seed to ensure same randomisation is applied for each fold
np.random.seed(4)
perm = np.random.permutation(len(data_sequences))
data_labels = np.array(data_labels)
data_sequences = data_sequences[perm]
data_labels = data_labels[perm]
data_lenghts = data_lengths[perm]
original_lengths = original_lengths[perm]
self.val_data = data_sequences[val_mask]
self.val_labels = data_labels[val_mask]
self.val_lengths = data_lengths[val_mask]
self.val_original_lengths = original_lengths[val_mask]
self.train_data = np.delete(data_sequences, val_mask, axis=0)
self.train_labels = np.delete(data_labels, val_mask, axis=0)
self.train_lengths = np.delete(data_lengths, val_mask, axis=0)
self.train_original_lengths = np.delete(original_lengths, val_mask, axis=0)
self.train_statistics, self.train_frame = self.summary_stats(self.train_lengths, self.train_labels, 'train')
if self.folds == 1:
self.val_statistics = np.array([])
self.val_frame = np.array([])
self.val_original_lengths = np.array([])
else:
self.val_statistics, self.val_frame = self.summary_stats(self.val_lengths, self.val_labels,
'validation')
this_data = [self.train_data,
self.train_labels,
self.train_lengths,
self.val_data,
self.val_labels,
self.val_lengths,
self.train_statistics,
self.train_frame,
self.val_statistics,
self.val_frame,
self.train_original_lengths,
self.val_original_lengths
]
with open(self.path + 'this_data.pkl', 'wb') as f:
pkl.dump(this_data, f)
else:
with open(self.path + 'this_data.pkl', 'rb') as f:
self.train_data, self.train_labels, self.train_lengths, self.val_data, self.val_labels, self.val_lengths, self.train_statistics, self.train_frame, self.val_statistics, self.val_frame, self.train_original_lengths, self.val_original_lengths = pkl.load(
f)
# Now construct the Tensorflow graph
print('\r~~~~~~~ Building model ~~~~~~~\r')
# Define placeholders and variables
initializer = tf.random_normal_initializer()
self.word_embeddings = tf.get_variable('embeddings', [self.vocabulary_size, self.embedding_size], tf.float32,
initializer=initializer)
sequences = tf.placeholder(tf.int32, [None, None], "sequences")
sequences_lengths = tf.placeholder(tf.int32, [None], "sequences_lengths")
labels = tf.placeholder(tf.int64, [None], "labels")
keep_prob_dropout = tf.placeholder(tf.float32, name='dropout')
global_step = tf.Variable(0, name='global_step', trainable=False)
# Embed and encode sequences
sequences_embedded = self.embed_data(sequences)
encoded_sequences = self.encoder(sequences_embedded, sequences_lengths, keep_prob_dropout,
bidirectional=self.bidirectional)
# Take last hidden state of GRU and put them through a nonlinear and a linear FC layer
with tf.name_scope('non_linear_layer'):
encoded_sentences_BN = self.batch_norm_wrapper(encoded_sequences, self.is_train)
non_linear = tf.nn.dropout(tf.nn.relu(tf.contrib.layers.linear(encoded_sentences_BN, 64)),
keep_prob=keep_prob_dropout)
with tf.name_scope('final_layer'):
non_linear_BN = self.batch_norm_wrapper(non_linear, self.is_train)
logits = tf.contrib.layers.linear(non_linear_BN, 4)
# Compute mean loss on this batch, consisting of cross entropy loss and L2 loss
CE_loss = self.get_CE_loss(labels, logits)
L2_loss = self.get_L2_loss()
loss = CE_loss + L2_loss
# Perform training operation
learning_rate = tf.train.exponential_decay(self.learning_rate, global_step, 100, 0.96, staircase=True)
opt_op = tf.contrib.layers.optimize_loss(loss=loss, global_step=global_step, learning_rate=learning_rate,
optimizer='Adam', clip_gradients=2.0,
learning_rate_decay_fn=None, summaries=None)
# Define scalars for Tensorboard
tf.summary.scalar('CE_loss', CE_loss)
tf.summary.scalar('L2_loss', L2_loss)
tf.summary.scalar('loss', loss)
tf.summary.scalar('learning_rate', learning_rate)
# Compute accuracy of prediction
probs = tf.nn.softmax(logits)
with tf.name_scope('accuracy'):
pred = tf.argmax(logits, 1)
correct_prediction = tf.equal(labels, pred)
accuracy = tf.reduce_mean(tf.cast(correct_prediction, tf.float32))
tf.summary.scalar('accuracy', accuracy)
# If in training mode:
# - shuffle data set before each epoch
# - train model using mini batches
# - track performance on train and validation set throughout training
if self.is_train == True:
with tf.Session() as session:
train_loss_writer = tf.summary.FileWriter(str(self.path + 'tensorboard/train_loss'), session.graph)
train_summary_writer = tf.summary.FileWriter(str(self.path + 'tensorboard/train_summary'),
session.graph)
val_summary_writer = tf.summary.FileWriter(str(self.path + 'tensorboard/val_summary'), session.graph)
# Use the same LOG_DIR where you stored your checkpoint.
embedding_writer = tf.summary.FileWriter(str(self.path + 'tensorboard/'), session.graph)
config = projector.ProjectorConfig()
embedding = config.embeddings.add()
embedding.tensor_name = self.word_embeddings.name
# Link this tensor to its metadata file (e.g. labels).
embedding.metadata_path = os.path.join('./metadata.tsv')
# Saves a configuration file that TensorBoard will read during startup.
projector.visualize_embeddings(embedding_writer, config)
merged = tf.summary.merge_all()
print('\r~~~~~~~ Initializing variables ~~~~~~~\r')
tf.global_variables_initializer().run()
start_time = time.time()
min_train_loss = np.inf
batch_times = []
n = self.train_data.shape[0]
print('\r~~~~~~~ Starting training ~~~~~~~\r')
try:
train_summaryIndex = -1
for epoch in range(self.num_epochs):
self.is_train = True
epoch_time = time.time()
print('----- Epoch', epoch, '-----')
print('Shuffling dataset')
perm = np.random.permutation(len(self.train_data))
self.train_data_perm = self.train_data[perm]
self.train_labels_perm = self.train_labels[perm]
self.train_lengths_perm = self.train_lengths[perm]
total_loss = 0
for i in range(n // self.batch_size):
batch_start = time.time()
batch_data = self.train_data_perm[i * self.batch_size: (i + 1) * self.batch_size]
batch_lengths = self.train_lengths_perm[i * self.batch_size: (i + 1) * self.batch_size]
batch_labels = self.train_labels_perm[i * self.batch_size: (i + 1) * self.batch_size]
train_dict = {sequences: batch_data,
sequences_lengths: batch_lengths,
labels: batch_labels,
keep_prob_dropout: self.keep_prob_dropout}
_, batch_loss, batch_accuracy, batch_summary = session.run([opt_op, loss, accuracy, merged],
feed_dict=train_dict)
total_loss += batch_loss
batch_times.append(time.time() - batch_start)
train_loss_writer.add_summary(batch_summary, i + (n // self.batch_size) * epoch)
if i % 10 == 0 and i > 0:
# Print loss every 10 batches
time_per_epoch = np.mean(batch_times) * (n // self.batch_size)
remaining_time = int(time_per_epoch - time.time() + epoch_time)
string_out = '\rEnd of batch ' + str(i) + ' Train loss: ' + str(
total_loss / (i * self.batch_size)) + ' Accuracy: ' + str(batch_accuracy)
string_out += ' Elapsed training time : ' + str(int(time.time() - start_time)) + "s, "
string_out += str(remaining_time) + "s remaining for this epoch"
string_out += ' (' + str(time_per_epoch * 100 / 60 // 1 / 100) + ' min/epoch)'
stdout.write(string_out)
# Train accuracy
train_dict = {sequences: self.train_data_perm[:1000],
sequences_lengths: self.train_lengths_perm[:1000],
labels: self.train_labels_perm[:1000],
keep_prob_dropout: 1.0}
train_summary, train_loss, train_accuracy = session.run([merged, loss, accuracy],
feed_dict=train_dict)
train_summary_writer.add_summary(train_summary, epoch)
print('\nEpoch train loss: ', train_loss, 'Epoch train accuracy: ', train_accuracy)
# Val accuracy
val_dict = {sequences: self.val_data,
sequences_lengths: self.val_lengths,
labels: self.val_labels,
keep_prob_dropout: 1.0}
val_summary, val_loss, val_accuracy = session.run([merged, loss, accuracy], feed_dict=val_dict)
val_summary_writer.add_summary(val_summary, epoch)
print('\nEpoch val loss: ', val_loss, 'Epoch val accuracy: ', val_accuracy)
self.save_model(session, epoch)
saver = tf.train.Saver(write_version=tf.train.SaverDef.V2)
saver.save(session, os.path.join(self.path + '/tensorboard/', 'model.ckpt'))
except KeyboardInterrupt:
save = input('save?')
if 'y' in save:
self.save_model(session, epoch)
# If in validation mode:
# - Load saved model and evaluate on validation fold
# - Return list containing confusion matrices, and accuracy measures such as FPR and TPR
elif self.mode == 'Val':
with tf.Session() as session:
print('Restoring model...')
saver = tf.train.Saver(write_version=tf.train.SaverDef.V2)
saver.restore(session, self.path + 'tensorboard/model.ckpt')
print('Model restored!')
val_dict = {sequences: self.val_data,
sequences_lengths: self.val_lengths,
labels: self.val_labels,
keep_prob_dropout: 1.0}
self.val_pred, self.val_accuracy, self.val_probs = session.run([pred, accuracy, probs],
feed_dict=val_dict)
_ = self.summary_stats(self.val_lengths, self.val_labels, 'val')
print('\nConfusion matrix (all sequence lengths):')
val_confusion_1 = self.confusion(gold=self.val_labels, prediction=self.val_pred,
lengths=self.val_original_lengths, min_length=0, max_length=np.inf)
print(val_confusion_1)
print('\nConfusion matrix (sequence length < 2000):')
val_confusion_2 = self.confusion(gold=self.val_labels, prediction=self.val_pred,
lengths=self.val_original_lengths, min_length=0, max_length=2000)
print(val_confusion_2)
print('\nConfusion matrix (sequence length > 2000):')
val_confusion_3 = self.confusion(gold=self.val_labels, prediction=self.val_pred,
lengths=self.val_original_lengths, min_length=2000, max_length=np.inf)
print(val_confusion_3)
print('\n Val accuracy:', self.val_accuracy)
print('\n Val accuracy when length <2000:',
np.sum((self.val_pred == self.val_labels) * (self.val_original_lengths <= 2000)) / np.sum(
self.val_original_lengths <= 2000))
print('\n Val accuracy when length >2000:',
np.sum((self.val_pred == self.val_labels) * (self.val_original_lengths > 2000)) / np.sum(
self.val_original_lengths > 2000))
this_sum = np.zeros([3, 5])
this_auc = np.zeros([1, 5])
this_TPR = []
this_FPR = []
total_tp = 0
total_fp = 0
total_fn = 0
total_tn = 0
for i in range(4):
tp = np.sum((self.val_labels == i) * (self.val_pred == i))
fp = np.sum((self.val_labels != i) * (self.val_pred == i))
fn = np.sum((self.val_labels == i) * (self.val_pred != i))
tn = np.sum((self.val_labels != i) * (self.val_pred != i))
total_tp += tp
total_fp += fp
total_fn += fn
total_tn += tn
prec = tp / (tp + fp) if (tp + fp) > 0 else 0.0
recall = tp / (tp + fn) if (tp + fn) > 0 else 0.0
f1 = 2 * prec * recall / (prec + recall) if prec * recall > 0 else 0.0
this_sum[:, i] = np.array([prec, recall, f1])
this_auc[:, i] = roc_auc_score(self.val_labels == i, self.val_pred == i)
if i < 4:
this_FPR.append(roc_curve(self.val_labels == i, self.val_probs[:, i])[0])
this_TPR.append(roc_curve(self.val_labels == i, self.val_probs[:, i])[1])
prec = total_tp / (total_tp + total_fp) if (total_tp + total_fp) > 0 else 0.0
recall = total_tp / (total_tp + total_fn) if (total_tp + total_fn) > 0 else 0.0
f1 = 2 * prec * recall / (prec + recall) if prec * recall > 0 else 0.0
this_sum[:, 4] = np.array([prec, recall, f1])
this_sum = np.concatenate((this_sum, this_auc), 0)
self.this_sum = pd.DataFrame(this_sum)
self.this_sum.index = pd.Index(['Precision', 'Recall', 'F1', 'AUC'])
self.this_sum.columns = pd.Index(['cyto', 'secreted', 'mito', 'nucleus', 'Total'])
print(self.this_sum)
if self.is_train == False:
return [val_confusion_1, val_confusion_2, val_confusion_3, self.this_sum, this_FPR, this_TPR]
# If in test model:
# - Load saved model and evaluate on test set
# - Print predicted probabilities for each protein in the test set
elif self.mode == 'Test':
with tf.Session() as session:
print('Restoring model...')
saver = tf.train.Saver(write_version=tf.train.SaverDef.V2)
saver.restore(session, self.path + 'model.checkpoint')
print('Model restored!')
with open('test_data.pkl', 'rb') as f:
test_sequences = pkl.load(f)
with open('test_labels.pkl', 'rb') as f:
test_labels = pkl.load(f)
_, _, data_lengths, _, enc_sequences = build_dictionary(test_sequences, vocab=dictionary)
test_dict = {sequences: enc_sequences,
sequences_lengths: data_lengths,
keep_prob_dropout: 1.0}
self.probs, self.pred = session.run([probs, pred], feed_dict=test_dict)
result = pd.DataFrame(np.concatenate((self.probs, np.expand_dims(self.pred, 1)), 1))
result.columns = pd.Index(['cyto', 'secreted', 'mito', 'nucleus', 'prediction'])
print(result)
def stats():
'''
Helper function to print descriptive statistics of training data
'''
with open('train_data.pkl', 'rb') as f:
data_sequences = pkl.load(f)
with open('train_labels.pkl', 'rb') as f:
labels = pkl.load(f)
_, _, lengths, _, _ = build_dictionary(data_sequences)
bins = [0, 100, 500, 1000, 1500, 1999]
labels_string = ['cyto', 'secreted', 'mito', 'nucleus']
df = pd.DataFrame({'length': lengths, 'label': labels})
table = pd.crosstab(np.digitize(df.length, bins), df.label)
table.index = pd.Index(['[0, 100)', '[100, 500)', '[500, 1000]', '[1000, 1500)', '[1500, 2000)', '[2000, inf]'],
name="Bin")
table.columns = pd.Index(labels_string, name="Class")
sum_row = {col: table[col].sum() for col in table}
sum_df = pd.DataFrame(sum_row, index=["Total"])
table = table.append(sum_df)
table['Total'] = table.sum(axis=1)
print('\n~~~~~~~ Summary stats for %s set ~~~~~~~')
print('\nCount of sequence lengths by class')
print(table)
print('\nDescriptive statistics')
print(df.describe())
if __name__ == '__main__':
labels_string = ['cyto', 'secreted', 'mito', 'nucleus']
for i in range(1, 6):
tf.reset_default_graph()
model = skipthought(mode='Train',
path=str('./model_%d/' % i),
folds=5,
embedding_size=32,
hidden_size=128,
hidden_layers=1,
batch_size=32,
keep_prob_dropout=0.7,
L2=0.0,
learning_rate=0.01,
val_size=1700,
bidirectional=False,
mask=i,
num_epochs=20)
model.run()
# Obtain cross-validated confusion matrices
# outputs = []
# for i in range(1, 6):
# tf.reset_default_graph()
# print('\r%d' % i)
# this_path = str('./model_%d/' % i)
# model = skipthought(mode='Val',
# path=this_path,
# folds=5,
# embedding_size=32,
# hidden_size=64,
# hidden_layers=1,
# batch_size=32,
# keep_prob_dropout=0.7,
# L2=0.0,
# learning_rate=0.01,
# val_size=1700,
# bidirectional=False,
# mask=i,
# num_epochs=20)
#
# outputs.append(model.run())
# print('\n\n\n')
#
# val_confusion_1 = (outputs[0][0] + outputs[1][0] + outputs[2][0] + outputs[3][0] + outputs[4][0]) / 5
# summary = (outputs[0][3] + outputs[1][3] + outputs[2][3] + outputs[3][3] + outputs[4][3]) / 5
#
# print("mean confusion matrix")
# print(val_confusion_1)
# print("mean summary")
# print(summary)
#
# for i in range(4):
# plt.close()
# plt.plot(outputs[0][4][i], outputs[0][5][i])
# plt.plot(outputs[1][4][i], outputs[1][5][i])
# plt.plot(outputs[2][4][i], outputs[2][5][i])
# plt.plot(outputs[3][4][i], outputs[3][5][i])
# plt.plot(outputs[4][4][i], outputs[4][5][i])
# plt.xlabel('FPR')
# plt.ylabel('TPR')
# name = labels_string[i]
# plt.savefig('./plots/%s.png' % name)
#
# stats()