Neural network using MATLAB

Question

I have a training set that has input and outputs in this way:

Input:
0.832 64.643
0.818 78.843
1.776 45.049
0.597 88.302
1.412 63.458
1.468 49.535
1.985 33.387
2.073 30.279
1.431 55.231
1.116 68.521
1.617 44.362
2.159 66.512

Output:
0 0 1
0 0 1
0 1 0
0 0 1
0 0 1
1 0 0
0 0 1
1 0 0
1 0 0
0 0 1
0 0 1
0 1 0
1 0 0
1 0 0
0 1 0
0 1 0

I need to implement one linear layer neural network that can represent the data set best in MATLAB . What would be the algorithm to do it in MATLAB?

The target output is "1 for a particular class that the corresponding input belongs to and "0 for the remaining 2 outputs.

Answer 1

Consider this example of training a feed-forward ANN of one hidden layer (with 3 nodes). Since your data seems to have more output points than input, I'm using a demo dataset, but the idea is the same:

%# load sample data
laod simpleclass_dataset
input = simpleclassInputs;          %# 2x1000, 2-dimensional points
output = simpleclassTargets;        %# 4x1000, 4 classes

%# split data into training/testing sets
trainInd = 1:500;
testInd = 501:1000;

%# create ANN and initialize network weights
net = newpr(input, output, 3);
net = init(net);
net.trainParam.epochs = 25;        %# max number of iterations

%# learn net weights from training data
net = train(net, input(:,trainInd), output(:,trainInd));

%# predict output of net on testing data
pred = sim(net, input(:,testInd));

%# classification confusion matrix
[err,cm] = confusion(output(:,testInd), pred);

The output is:

err =
     0.075075
cm =
    81     0     0     0
     0    82     0     0
     9     0    52    16
     0     0     0    93

Obviously you will need access to the Neural Network Toolbox.