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

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

Accepted Answer

Greg Heath
Greg Heath on 11 Mar 2015
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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