Neural Network: how can I get the correct output answer without using the function "sim", neural network function "sim" vs my calculation with trained network's weight and bias

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I want to calculate the Neural network output with weight produced by neural network toolbox. but my caclulated output is different from the sim(net,X)
1. I made input data and target data
M = [1:1:10];
M = [M,M,M,M,M].*rand();
M = [M,M].*rand();
M = [M,M,M,M,M].*10;
M = [M,M].*10;
a=M.*rand().*2^rand()+5*rand()-5*rand();
b=M.*rand().*2^rand()+5*rand()-5*rand();
c=M.*rand().*2^rand()+5*rand()-5*rand();
n=rand(1,1000)*0.05;
y = 5*a + b.*c + 7*c + n;
x=[a; b; c];
t=y;
and set the FF Neural network
hiddenLayerSize = 4;
net = feedforwardnet(hiddenLayerSize);
net.divideFcn = 'dividerand'; % Split random data
net.divideMode = 'sample';
net.divideParam.trainRatio = 70/100;
net.divideParam.valRatio = 15/100;
net.divideParam.testRatio = 15/100;
net = train(net,x,t);
And output of trained network with intput data X = [22,25,21]' is
X = [22,25,21]'
y_sim=sim(net,X)
This procedure is the result using the function "sim".
Next, i will calculate output with above network's weight parameters.
weight parameter like as,
b1 = net.b{1};
b2 = net.b{2};
IW = net.IW{1,1};
LW = net.LW{2,1};
and calculate the output with input X = [22,25,21]'
X = [22,25,21]'
y_my = b2 + LW * tanh(b1 + (IW * X))
I really don't know why these two output is different. y_my and y_sim is different.
this is full codes.
clc
clear all
rng(4151945);
M = [1:1:10];
M = [M,M,M,M,M].*rand();
M = [M,M].*rand();
M = [M,M,M,M,M].*10;
M = [M,M].*10;
a=M.*rand().*2^rand()+5*rand()-5*rand();
b=M.*rand().*2^rand()+5*rand()-5*rand();
c=M.*rand().*2^rand()+5*rand()-5*rand();
n=rand(1,1000)*0.05;
y = 5*a + b.*c + 7*c + n;
x=[a; b; c];
t=y;
% Setting the sample size
hiddenLayerSize = 4;
net = feedforwardnet(hiddenLayerSize);
net.divideFcn = 'dividerand'; % Split random data
net.divideMode = 'sample';
net.divideParam.trainRatio = 70/100;
net.divideParam.valRatio = 15/100;
net.divideParam.testRatio = 15/100;
net = train(net,x,t);
% syms p q r real
% X = [p,q,r]';
X = [22,25,21]'
b1 = net.b{1};
b2 = net.b{2};
IW = net.IW{1,1};
LW = net.LW{2,1};
y_my = b2 + LW * tanh(b1 + (IW * X))
y_sim = sim(net,X)
y1compare = 5*X(1) + X(2)*X(3) + 7*X(3)
Is there a calculation process in the function "sim" I do not know? What do i miss? Please let me know.
2. This quastion is different from above. I thought the output would be more accurate if the number of neurons in hidden layer was large. But in my case, the more hidden layers, the worse the performance. How to find the appropriate number of hidden layers? please give me some tips.
Thanks.

채택된 답변

Brendan Hamm
Brendan Hamm 2016년 11월 11일
There is a scaling of the data which happens for the inputs and outputs which is not being considered in the above example. All of the inputs are first mapped to the range [-1 1] and so are the targets.
These mappings are held in the following locations:
net.inputs{1}
net.outputs{2}
If you look at these there is a mapminmax function being applied to the data as described here .
If you wish to take this into consideration you need to apply the mapminmax function yourself using the processSettings stored in the inputs/outputs.
X1 = mapminmax('apply',X,net.inputs{1}.processSettings{1})
y_my = purelin(b2 + LW * tansig(b1 + (IW * X1)))
yMY = mapminmax('reverse',y_my,net.outputs{2}.processSettings{1})
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