import tensorflow as tf
import numpy as np
import matplotlib.pyplot as plt
#制造数据,加上随机噪声
x_data = np.linspace(-0.5, 0.5, 200)[:,np.newaxis]
noise = np.random.normal(0, 0.02, x_data.shape)
y_data=np.square(x_data)+noise
#定义两层简单的网络
x=tf.placeholder(tf.float32,[None,1])
y=tf.placeholder(tf.float32,[None,1])
w1=tf.Variable(tf.random_normal([1,10]))
b1=tf.Variable(tf.zeros([1,10]))
wx_plus_b1=tf.matmul(x,w1)+b1
l1=tf.nn.tanh(wx_plus_b1)
w2=tf.Variable(tf.random_normal([10,1]))
b2=tf.Variable(tf.zeros([1,1]))
wx_plus_b2=tf.matmul(l1,w2)+b2
predict=tf.nn.tanh(wx_plus_b2)
#损失函数选用SME
loss=tf.reduce_mean(tf.square(y-predict))
#优化函数选取梯度下降法
train=tf.train.GradientDescentOptimizer(0.1).minimize(loss)
with tf.Session() as sess:
predict_y = None
sess.run(tf.global_variables_initializer())
for i in range(2000):
sess.run(train,feed_dict={x:x_data,y:y_data})
#训练完成后,通过模型得到预测的y值
predict_y=sess.run(predict,feed_dict={x:x_data})
plt.figure()
plt.scatter(x_data,y_data)
plt.plot(x_data,predict_y,'r',lw=5)
plt.show()import tensorflow as tf
import numpy as np
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