from __future__ import absolute_import from __future__ import print_function import numpy as np import random from keras.datasets import mnist from keras.models import Model from keras.layers import Input, Flatten, Dense, Dropout, Lambda from keras.optimizer_v2.rmsprop import RMSprop from keras import backend as K num_classes = 10 epochs = 20 def euclidean_distance(vects): x, y = vects sum_square = K.sum(K.square(x - y), axis=1, keepdims=True) return K.sqrt(K.maximum(sum_square, K.epsilon())) def eucl_dist_output_shape(shapes): shape1, shape2 = shapes return (shape1[0], 1) def contrastive_loss(y_true, y_pred): '''Contrastive loss from Hadsell-et-al.'06 http://yann.lecun.com/exdb/publis/pdf/hadsell-chopra-lecun-06.pdf ''' margin = 1 square_pred = K.square(y_pred) margin_square = K.square(K.maximum(margin - y_pred, 0)) return K.mean(y_true * square_pred + (1 - y_true) * margin_square) def create_pairs(x, digit_indices): '''Positive and negative pair creation. Alternates between positive and negative pairs. ''' pairs = [] labels = [] n = min([len(digit_indices[d]) for d in range(num_classes)]) - 1 for d in range(num_classes): for i in range(n): z1, z2 = digit_indices[d][i], digit_indices[d][i + 1] pairs += [[x[z1], x[z2]]] inc = random.randrange(1, num_classes) dn = (d + inc) % num_classes z1, z2 = digit_indices[d][i], digit_indices[dn][i] pairs += [[x[z1], x[z2]]] labels += [1, 0] return np.array(pairs), np.array(labels) def create_base_network(input_shape): '''Base network to be shared (eq. to feature extraction). ''' _input = Input(shape=input_shape) x = Flatten()(_input) x = Dense(128, activation='relu')(x) x = Dropout(0.1)(x) x = Dense(128, activation='relu')(x) x = Dropout(0.1)(x) x = Dense(128, activation='relu')(x) return Model(input, x) def compute_accuracy(y_true, y_pred): '''Compute classification accuracy with a fixed threshold on distances. ''' pred = y_pred.ravel() < 0.5 return np.mean(pred == y_true) def accuracy(y_true, y_pred): '''Compute classification accuracy with a fixed threshold on distances. ''' return K.mean(K.equal(y_true, K.cast(y_pred < 0.5, y_true.dtype))) # the data, split between train and test sets (x_train, y_train), (x_test, y_test) = mnist.load_data() x_train = x_train.astype('float32') x_test = x_test.astype('float32') x_train /= 255 x_test /= 255 input_shape = x_train.shape[1:] # create training+test positive and negative pairs digit_indices = [np.where(y_train == i)[0] for i in range(num_classes)] tr_pairs, tr_y = create_pairs(x_train, digit_indices) digit_indices = [np.where(y_test == i)[0] for i in range(num_classes)] te_pairs, te_y = create_pairs(x_test, digit_indices) # network definition base_network = create_base_network(input_shape) input_a = Input(shape=input_shape) input_b = Input(shape=input_shape) # because we re-use the same instance `base_network`, # the weights of the network # will be shared across the two branches processed_a = base_network(input_a) processed_b = base_network(input_b) distance = Lambda(euclidean_distance, output_shape=eucl_dist_output_shape)([processed_a, processed_b]) model = Model([input_a, input_b], distance) # train rms = RMSprop() model.compile(loss=contrastive_loss, optimizer=rms, metrics=[accuracy]) model.fit([tr_pairs[:, 0], tr_pairs[:, 1]], tr_y, batch_size=128, epochs=epochs, validation_data=([te_pairs[:, 0], te_pairs[:, 1]], te_y)) # compute final accuracy on training and test sets y_pred = model.predict([tr_pairs[:, 0], tr_pairs[:, 1]]) tr_acc = compute_accuracy(tr_y, y_pred) y_pred = model.predict([te_pairs[:, 0], te_pairs[:, 1]]) te_acc = compute_accuracy(te_y, y_pred) print('* Accuracy on training set: %0.2f%%' % (100 * tr_acc)) print('* Accuracy on test set: %0.2f%%' % (100 * te_acc))