MATLAB时间序列预测Prediction of time series with NAR neural network

具体请参考：http://lab.fs.uni-lj.si/lasin/wp/IMIT_files/neural/nn05_narnet/

神经网络预测时间序列数据，有三种模型，

这里是给出的是第二种NAR，即只有时间序列数据y(t)，没有x(t)。具体训练和预测matlab代码如下：  

format compact

% data settings
N  = 249; % number of samples
Nu = 224; % number of learning samples

y = Data;% Input your data
% prepare training data
yt = con2seq(y(1:Nu)');

% prepare test data
yv = con2seq(y(Nu+1:end)');

% Choose a Training Function
% For a list of all training functions type: help nntrain
% 'trainlm' is usually fastest.
% 'trainbr' takes longer but may be better for challenging problems.
% 'trainscg' uses less memory. NTSTOOL falls back to this in low memory situations.
trainFcn = 'trainlm';  % Levenberg-Marquardt

% Create a Nonlinear Autoregressive Network
feedbackDelays = 1:5;
hiddenLayerSize = 40;
net = narnet(feedbackDelays,hiddenLayerSize,'open',trainFcn);

[Xs,Xi,Ai,Ts] = preparets(net,{},{},yt);

% train net with prepared training data
net = train(net,Xs,Ts,Xi,Ai);
% view trained net
% close feedback for recursive prediction
net = closeloop(net);
% view closeloop version of a net
view(net);

%%%Recursive prediction on test data
% prepare test data for network simulation
yini = yt(end-max(feedbackDelays)+1:end); % initial values from training data
% combine initial values and test data 'yv'
[Xs,Xi,Ai] = preparets(net,{},{},[yini yv]);