# import necessary packages import numpy as np import matplotlib.pyplot as plt from sklearn import datasets # ensure the same random numbers appear every time np.random.seed(0) # display images in notebook plt.rcParams['figure.figsize'] = (12,12) # download MNIST dataset digits = datasets.load_digits() # define inputs and labels inputs = digits.images labels = digits.target # RGB images have a depth of 3 # our images are grayscale so they should have a depth of 1 inputs = inputs[:,:,:,np.newaxis] print("inputs = (n_inputs, pixel_width, pixel_height, depth) = " + str(inputs.shape)) print("labels = (n_inputs) = " + str(labels.shape)) # choose some random images to display n_inputs = len(inputs) indices = np.arange(n_inputs) random_indices = np.random.choice(indices, size=5) for i, image in enumerate(digits.images[random_indices]): plt.subplot(1, 5, i+1) plt.axis('off') plt.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest') plt.title("Label: %d" % digits.target[random_indices[i]]) plt.show() from keras.utils import to_categorical from sklearn.model_selection import train_test_split # representation of labels labels = to_categorical(labels) # split into train and test data # one-liner from scikit-learn library train_size = 0.8 test_size = 1 - train_size X_train, X_test, Y_train, Y_test = train_test_split(inputs, labels, train_size=train_size, test_size=test_size) #import tensorflow as tf import tensorflow.compat.v1 as tf tf.disable_v2_behavior() tf.reset_default_graph() from keras.models import Sequential from keras.layers.convolutional import Conv2D from keras.layers.convolutional import MaxPooling2D from keras.layers import Flatten from keras.layers import Dense from keras.regularizers import l2 from keras.optimizers import SGD def create_convolutional_neural_network_keras(input_shape, receptive_field, n_filters, n_neurons_connected, n_categories, eta, lmbd): model = Sequential() model.add(Conv2D(n_filters, (receptive_field, receptive_field), input_shape=input_shape, padding='same', activation='relu', kernel_regularizer=l2(lmbd))) model.add(MaxPooling2D(pool_size=(2, 2))) model.add(Flatten()) model.add(Dense(n_neurons_connected, activation='relu', kernel_regularizer=l2(lmbd))) model.add(Dense(n_categories, activation='softmax', kernel_regularizer=l2(lmbd))) sgd = SGD(lr=eta) model.compile(loss='categorical_crossentropy', optimizer=sgd, metrics=['accuracy']) return model epochs = 100 batch_size = 100 input_shape = X_train.shape[1:4] receptive_field = 3 n_filters = 10 n_neurons_connected = 50 n_categories = 10 eta_vals = np.logspace(-5, 1, 7) lmbd_vals = np.logspace(-5, 1, 7) CNN_keras = np.zeros((len(eta_vals), len(lmbd_vals)), dtype=object) for i, eta in enumerate(eta_vals): for j, lmbd in enumerate(lmbd_vals): CNN = create_convolutional_neural_network_keras(input_shape, receptive_field, n_filters, n_neurons_connected, n_categories, eta, lmbd) CNN.fit(X_train, Y_train, epochs=epochs, batch_size=batch_size, verbose=0) scores = CNN.evaluate(X_test, Y_test) CNN_keras[i][j] = CNN print("Learning rate = ", eta) print("Lambda = ", lmbd) print("Test accuracy: %.3f" % scores[1]) print() # visual representation of grid search # uses seaborn heatmap, could probably do this in matplotlib import seaborn as sns sns.set() train_accuracy = np.zeros((len(eta_vals), len(lmbd_vals))) test_accuracy = np.zeros((len(eta_vals), len(lmbd_vals))) for i in range(len(eta_vals)): for j in range(len(lmbd_vals)): CNN = CNN_keras[i][j] train_accuracy[i][j] = CNN.evaluate(X_train, Y_train)[1] test_accuracy[i][j] = CNN.evaluate(X_test, Y_test)[1] fig, ax = plt.subplots(figsize = (10, 10)) sns.heatmap(train_accuracy, annot=True, ax=ax, cmap="viridis") ax.set_title("Training Accuracy") ax.set_ylabel("$\eta$") ax.set_xlabel("$\lambda$") plt.show() fig, ax = plt.subplots(figsize = (10, 10)) sns.heatmap(test_accuracy, annot=True, ax=ax, cmap="viridis") ax.set_title("Test Accuracy") ax.set_ylabel("$\eta$") ax.set_xlabel("$\lambda$") plt.show()