下面您可以找到向前传播的向量化和循环实现。由于不同的符号和你在矩阵中存储数据的方式,你的输入数据必须适应下面的代码是可能的。
您需要向输入层和隐藏层添加偏置单位。
为了简化实施和调试工作我花了一些数据来自于开源machine learning repository和训练有素的网络the wine classification task。
网络将输入数据分隔率97.7%
下面是代码:
function [] = nn_fp()
load('Xtest.mat'); %input data 178x13
load('y.mat'); %output data 178x1
load('thetah.mat'); %Parameters of the hidden layer 15x14
load('thetao.mat'); %Parameters of the output layer 3x16
predict_simple(Xtest, y, thetah, thetao);
predict_vectorized(Xtest, y, thetah, thetao);
end
function predict_simple(Xtest, y, thetah, thetao)
mtest = size(Xtest, 1); %number of input examples
n = size(Xtest, 2); %number of features
hl_size = size(thetah, 1); %size of the hidden layer (without the bias unit)
num_outputs = size(thetao, 1); %size of the output layer
%add a bias unit to the input layer
a1 = [ones(mtest, 1) Xtest]; %[mtest x (n+1)]
%compute activations of the hidden layer
z2 = zeros(mtest, hl_size); %[mtest x hl_size]
a2 = zeros(mtest, hl_size); %[mtest x hl_size]
for i=1:mtest
for j=1:hl_size
for k=1:n+1
z2(i, j) = z2(i, j) + a1(i, k)*thetah(j, k);
end
a2(i, j) = sigmoid_simple(z2(i, j));
end
end
%add a bias unit to the hidden layer
a2 = [ones(mtest, 1) a2]; %[mtest x (hl_size+1)]
%compute activations of the output layer
z3 = zeros(mtest, num_outputs); %[mtest x num_outputs]
h = zeros(mtest, num_outputs); %[mtest x num_outputs]
for i=1:mtest
for j=1:num_outputs
for k=1:hl_size+1
z3(i, j) = z3(i, j) + a2(i, k)*thetao(j, k);
end
h(i, j) = sigmoid_simple(z3(i, j)); %the hypothesis
end
end
%calculate predictions for each input example based on the maximum term
%of the hypothesis h
p = zeros(size(y));
for i=1:mtest
max_ind = 1;
max_value = h(i, 1);
for j=2:num_outputs
if (h(i, j) > max_value)
max_ind = j;
max_value = h(i, j);
end
end
p(i) = max_ind;
end
%calculate the success rate of the prediction
correct_count = 0;
for i=1:mtest
if (p(i) == y(i))
correct_count = correct_count + 1;
end
end
rate = correct_count/mtest*100;
display(['simple version rate:', num2str(rate)]);
end
function predict_vectorized(Xtest, y, thetah, thetao)
mtest = size(Xtest, 1); %number of input examples
%add a bias unit to the input layer
a1 = [ones(mtest, 1) Xtest];
%compute activations of the hidden layer
z2 = a1*thetah';
a2 = sigmoid_universal(z2);
%add a bias unit to the hidden layer
a2 = [ones(mtest, 1) a2];
%compute activations of the output layer
z3 = a2*thetao';
h = sigmoid_universal(z3); %the hypothesis
%calculate predictions for each input example based on the maximum term
%of the hypothesis h
[~,p] = max(h, [], 2);
%calculate the success rate of the prediction
rate = mean(double((p == y))) * 100;
display(['vectorized version rate:', num2str(rate)]);
end
function [ s ] = sigmoid_simple(z)
s = 1/(1+exp(-z));
end
function [ s ] = sigmoid_universal(z)
s = 1./(1+exp(-z));
end
哪个公式应得到确认?你的代码中的ytest表达式只是初始化一个新的矩阵,并且肯定是不正确的。你会发布你到目前为止? Xtest的维度是什么?它是一个矢量还是一组输入矢量? – Anton
htest应该确认,目前ytest只是一个占位符代码,它会给出正确的尺寸,Xtest是6,7,其余的是6,6 –