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Simple Feedforward Neural Network using Theano
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# Implementation of a simple MLP network with one hidden layer. Tested on the iris data set. | |
# Requires: numpy, sklearn, theano | |
# NOTE: In order to make the code simple, we rewrite x * W_1 + b_1 = x' * W_1' | |
# where x' = [x | 1] and W_1' is the matrix W_1 appended with a new row with elements b_1's. | |
# Similarly, for h * W_2 + b_2 | |
import theano | |
from theano import tensor as T | |
import numpy as np | |
from sklearn import datasets | |
from sklearn.cross_validation import train_test_split | |
def init_weights(shape): | |
""" Weight initialization """ | |
weights = np.asarray(np.random.randn(*shape) * 0.01, dtype=theano.config.floatX) | |
return theano.shared(weights) | |
def backprop(cost, params, lr=0.01): | |
""" Back-propagation """ | |
grads = T.grad(cost=cost, wrt=params) | |
updates = [] | |
for p, g in zip(params, grads): | |
updates.append([p, p - g * lr]) | |
return updates | |
def forwardprop(X, w_1, w_2): | |
""" Forward-propagation """ | |
h = T.nnet.sigmoid(T.dot(X, w_1)) # The \sigma function | |
yhat = T.nnet.softmax(T.dot(h, w_2)) # The \varphi function | |
return yhat | |
def get_iris_data(): | |
""" Read the iris data set and split them into training and test sets """ | |
iris = datasets.load_iris() | |
data = iris.data | |
target = iris.target | |
# Prepend the column of 1s for bias | |
N, M = data.shape | |
all_X = np.ones((N, M + 1)) | |
all_X[:, 1:] = data | |
# Convert into one-hot vectors | |
num_labels = len(np.unique(target)) | |
all_Y = np.eye(num_labels)[target] # One liner trick! | |
return train_test_split(all_X, all_Y, test_size=0.33) | |
if __name__ == '__main__': | |
train_X, test_X, train_y, test_y = get_iris_data() | |
# Symbols | |
X = T.fmatrix() | |
Y = T.fmatrix() | |
# Layer's sizes | |
x_size = train_X.shape[1] # Number of input nodes: 4 features and 1 bias | |
h_size = 256 # Number of hidden nodes | |
y_size = train_y.shape[1] # Number of outcomes (3 iris flowers) | |
w_1 = init_weights((x_size, h_size)) # Weight initializations | |
w_2 = init_weights((h_size, y_size)) | |
# Forward propagation | |
yhat = forwardprop(X, w_1, w_2) | |
# Backward propagation | |
cost = T.mean(T.nnet.categorical_crossentropy(yhat, Y)) | |
params = [w_1, w_2] | |
updates = backprop(cost, params) | |
# Train and predict | |
train = theano.function(inputs=[X, Y], outputs=cost, updates=updates, allow_input_downcast=True) | |
pred_y = T.argmax(yhat, axis=1) | |
predict = theano.function(inputs=[X], outputs=pred_y, allow_input_downcast=True) | |
# Run SGD | |
for iter in range(500): | |
for i in range(len(train_X)): | |
train(train_X[i: i + 1], train_y[i: i + 1]) | |
train_accuracy = np.mean(np.argmax(train_y, axis=1) == predict(train_X)) | |
test_accuracy = np.mean(np.argmax(test_y, axis=1) == predict(test_X)) | |
print("Iteration = %d, train accuracy = %.2f%%, test accuracy = %.2f%%" | |
% (iter + 1, 100 * train_accuracy, 100 * test_accuracy)) |
I know this is several years old but
sklearn.cross_validation.train_test_split
has been moved tosklearn.model_selection.train_test_split
Thanks For this!!!!
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I know this is several years old but
sklearn.cross_validation.train_test_split
has been moved tosklearn.model_selection.train_test_split