1. 代码实现
from __future__ import print_function
import numpy as np
import theano
import theano.tensor as T
def compute_accuracy(y_target, y_predict):
correct_prediction = np.equal(y_predict, y_target)
accuracy = np.sum(correct_prediction)/len(correct_prediction)
return accuracy
rng = np.random
N = 400 # training sample size
feats = 784 # number of input variables
# generate a dataset: D = (input_values, target_class)
D = (rng.randn(N, feats), rng.randint(size=N, low=0, high=2))
# Declare Theano symbolic variables
x = T.dmatrix("x")
y = T.dvector("y")
# initialize the weights and biases
W = theano.shared(rng.randn(feats), name="w")
b = theano.shared(0., name="b")
# Construct Theano expression graph
p_1 = T.nnet.sigmoid(T.dot(x, W) + b) # Logistic Probability that target = 1 (activation function)
prediction = p_1 > 0.5 # The prediction thresholded
xent = -y * T.log(p_1) - (1-y) * T.log(1-p_1) # Cross-entropy loss function
# or
# xent = T.nnet.binary_crossentropy(p_1, y) # this is provided by theano
cost = xent.mean() + 0.01 * (W ** 2).sum()# The cost to minimize (l2 regularization)
gW, gb = T.grad(cost, [W, b]) # Compute the gradient of the cost
# Compile
learning_rate = 0.1
train = theano.function(
inputs=[x, y],
outputs=[prediction, xent.mean()],
updates=((W, W - learning_rate * gW), (b, b - learning_rate * gb)))
predict = theano.function(inputs=[x], outputs=prediction)
# Training
for i in range(500):
pred, err = train(D[0], D[1])
if i % 50 == 0:
print('cost:', err)
print("accuracy:", compute_accuracy(D[1], predict(D[0])))
print("target values for D:")
print(D[1])
print("prediction on D:")
print(predict(D[0]))