MATLAB: How to get Equation of Function developed by ANN (Curve fitting) after training

artificial neural networkscurve fittingequationtutorial

Can I get equation of the function in Curve fitting using Artificial Neural Network after training the inputs and outputs

Best Answer

 clear all, close all, clc
[  x , t ]  = simplefit_dataset;
[  I  N ]  = size( x )          %[ 1 94 ]

[ O N ]  = size( t )           %[ 1 94 ]
MSE00 = mean(var(t',1)) % 8.3378
figure(1), hold on
plot( x, t, 'LineWidth', 2 )
 net = fitnet;
rng( 'default' )
[ net tr y e ] = train( net, x, t );
% y = net( x ); e = t - y;
plot( x, y, 'r.' )
NMSE    = mse(e)/MSE00 %1.7558e-05
Rsquare = 1 - NMSE         % 0.99998
 xn                   = mapminmax(x);
[ tn, tsettings ] = mapminmax(t);
 b2 =  net.b{2} ;
LW = net.LW{ 2, 1 };
B1 = repmat( net.b{1} ,  I, N ) ;
IW = net.IW{ 1 ,1 };
 yn = b2 + LW * tanh( B1 + IW * xn );
y2 = mapminmax.reverse(yn,tsettings);
dy = max(abs(y-y2))   % 3.5527e-15
Hope this helps.
Thank you for formally accepting my answer
Greg
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