Generate cascade-forward neural network
Cascade-forward networks are similar to feed-forward networks, but include a connection from the input and every previous layer to following layers.
As with feed-forward networks, a two-or more layer cascade-network can learn any finite input-output relationship arbitrarily well given enough hidden neurons.
Construct and Train a Cascade-Forward Neural Network
This example shows how to use a cascade-forward neural network to solve a simple problem.
Load the training data.
[x,t] = simplefit_dataset;
The 1-by-94 matrix
x contains the input values and the 1-by-94 matrix
t contains the associated target output values.
Construct a cascade-forward network with one hidden layer of size 10.
net = cascadeforwardnet(10);
Train the network
net using the training data.
net = train(net,x,t);
View the trained network.
Estimate the targets using the trained network.
y = net(x);
Assess the performance of the trained network. The default performance function is mean squared error.
perf = perform(net,y,t)
perf = 1.9372e-05
hiddenSizes — Size of the hidden layers
10 (default) | row vector
Size of the hidden layers in the network, specified as a row vector. The length of the vector determines the number of hidden layers in the network.
Example: For example, you can specify a network with 3 hidden layers, where the first
hidden layer size is 10, the second is 8, and the third is 5 as follows:
The input and output sizes are set to zero. The software adjusts the sizes of these during training according to the training data.
trainFcn — Training function name
'trainlm' (default) |
'trainscg' | ...
Training function name, specified as one of the following.
Scaled Conjugate Gradient
Conjugate Gradient with Powell/Beale Restarts
Fletcher-Powell Conjugate Gradient
Polak-Ribiére Conjugate Gradient
One Step Secant
Variable Learning Rate Gradient Descent
Gradient Descent with Momentum
Example: For example, you can specify the variable learning rate gradient descent
algorithm as the training algorithm as follows:
For more information on the training functions, see Train and Apply Multilayer Shallow Neural Networks and Choose a Multilayer Neural Network Training Function.
net — Cascade-forward network
Cascade-forward neural network, returned as a