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L2正則化—tensorflow實現

L2正則化是一種減少過擬合的方法,在損失函式中加入刻畫模型複雜程度的指標。假設損失函式是J(θ),則優化的是J(θ)+λR(w)R(w)=ni=0|w2i|

在tensorflow中的具體實現過程如下:

#coding:utf-8

import tensorflow as tf

def get_weight(shape,lambda):
    var = tf.Variable(tf.random_normal(shape),dtype=tf.float32)

    tf.add_to_collection("losses",tf.contrib.layers.l2_regularizer(lambda
)(var))#把正則化加入集合losses裡面 return var x = tf.placeholder(tf.float32,shape=(None,2)) y_ = tf.placeholder(tf.float32,shape=(none,1))#真值 batcg_size = 8 layer_dimension = [2,10,10,10,1]#神經網路層節點的個數 n_layers = len(layer_dimension)#神經網路的層數 cur_layer = x in_dimension = layer_dimension[0] for i in range (1
,n_layers): out_dimension = layer_dimension[i] weight = get_weight([in_dimension,out_dimension],0.001) bias = tf.Variable(tf.constant(0.1,shape(out_dimension))) cur_layer = tf.nn.relu(tf.matmul(x,weight)) + bias) in_dimension = layer_dimension[i] ses_loss = tf.reduce_mean(tf.square(y_ - cur_layer))#計算最終輸出與標準之間的loss
tf.add_to_collenction("losses",ses_loss)#把均方誤差也加入到集合裡 loss = tf.add_n(tf.get_collection("losses")) #tf.get_collection返回一個列表,內容是這個集合的所有元素 #add_n()把輸入按照元素相加