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calculate predictions with weights and bias which extracted from LSTM model

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James
James 2024 年 7 月 15 日 14:47
コメント済み: James 2024 年 7 月 19 日 12:04
Hello,
I'am trying to calculate outputs using parameters from LSTM model (recurrentweight, inputweight, bias)
but output is different between "below codes" and "output from code Y=predict(net,X)".
please help me if you know the problems.
Thank you.
My network structure: (simple network)
layers = [
sequenceInputLayer(9,"Normalization","none") % number of input parameters are 9
lstmLayer(256)
fullyConnectedLayer(1)];
options = trainingOptions("adam", ...
MaxEpochs=2000, ...
SequencePaddingDirection="left", ...
Shuffle="every-epoch", ...
Plots="training-progress", ...
Verbose=false);
net = trainnet(X,Y,layers,"mse",options);
My code to extract the weights and bias:
R=net.Layers(2,1).RecurrentWeights;
W=net.Layers(2,1).InputWeights;
b=net.Layers(2,1).Bias;
Fc_W=net.Layers(3,1).Weights;
Fc_B=net.Layers(3,1).Bias;
Code for extract parameters of LSTM Layer (input, forget, cell, output)
HiddenLayersNum = 256;
W.Wi=W(1:HiddenLayersNum,:);
W.Wf=W(HiddenLayersNum+1:2*HiddenLayersNum,:);
W.Wc=W(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
W.Wo=W(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
R.Ri=R(1:HiddenLayersNum,:);
R.Rf=R(HiddenLayersNum+1:2*HiddenLayersNum,:);
R.Rc=R(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
R.Ro=R(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
B.bi=b(1,:);
B.bf=b(HiddenLayersNum+1:2*HiddenLayersNum,:);
B.bc=b(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
B.bo=b(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
h=net.State.Value{1,1}; % Hiddenstate
c=net.State.Value{2,1}; % Cellstate
Code for calculate LSTM Layer output:
% Input Gate
Z = W.Wi*X+R.Ri*h+B.bi; % x is new intput value for prediction (ex: x=[1 5 20 1 2];)
I = 1.0 ./ (1.0 + exp(-Z)); % Input gate
% Forget Gate
f =W.Wf*X+R.Rf*h+B.bf;
F = 1.0 ./ (1.0 + exp(-f)); % Forget gate
% Layer Input
g=W.Wc*X+R.Rc*h+B.bc; % Layer input
G=tanh(g);
% Output Layer
output = W.Wo*X+R.Ro*h_prev+B.bo;
output = 1.0 ./ (1.0 + exp(-output)); % Output Gate
% Cell State
cellgate=F.*c+I.*G; % Cell Gate
cellgate=cellgate;
% Output (Hidden) State
hidden=O.*tanh(cellgate); % Output State
hidden=dlarray(hidden);
L1 = relu(hidden);
Code for calculate output in fullyconnected Layer:
Fc=Fc_W*L1+Fc_B

採用された回答

Paras Gupta
Paras Gupta 2024 年 7 月 15 日 19:46
Hi James,
I understand that the provided code for your model, which includes "LSTM" and a "Fully Connected" layers is giving incorrect inference results than the trained model's "predict" function.
The provided code seems to have the following three issues:
  • Incorrect Bias Initialization for Input Gate - The bias for the input gate shoud index the first "HiddenLayersNum" number of elements
  • Incorrect Variable Used for Output State Calculation - The variable "ouput" should be used instead of "O"
  • Incorrect Computation and Usage of "L1" - The computation of "L1" variable using "relu" function and its subsequent usage is incorrect.
You can refer to the following modfied code to obtain the correct results:
HiddenLayersNum = 256;
W.Wi=W(1:HiddenLayersNum,:);
W.Wf=W(HiddenLayersNum+1:2*HiddenLayersNum,:);
W.Wc=W(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
W.Wo=W(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
R.Ri=R(1:HiddenLayersNum,:);
R.Rf=R(HiddenLayersNum+1:2*HiddenLayersNum,:);
R.Rc=R(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
R.Ro=R(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
B.bi=b(1:HiddenLayersNum,:); % corrected
B.bf=b(HiddenLayersNum+1:2*HiddenLayersNum,:);
B.bc=b(2*HiddenLayersNum+1:3*HiddenLayersNum,:);
B.bo=b(3*HiddenLayersNum+1:4*HiddenLayersNum,:);
h=net.State.Value{1,1}; % Hiddenstate
c=net.State.Value{2,1}; % Cellstate
% Input Gate
Z = W.Wi*X+R.Ri*h+B.bi; % x is new intput value for prediction (ex: x=[1 5 20 1 2];)
I = 1.0 ./ (1.0 + exp(-Z)); % Input gate
% Forget Gate
f =W.Wf*X+R.Rf*h+B.bf;
F = 1.0 ./ (1.0 + exp(-f)); % Forget gate
% Layer Input
g=W.Wc*X+R.Rc*h+B.bc; % Layer input
G=tanh(g);
% Output Layer
output = W.Wo*X+R.Ro*h_prev+B.bo;
output = 1.0 ./ (1.0 + exp(-output)); % Output Gate
% Cell State
cellgate=F.*c+I.*G; % Cell Gate
cellgate=cellgate;
% Output (Hidden) State
hidden=output.*tanh(cellgate); % corrected
hidden=dlarray(hidden);
% removed L1 computation as it is not required
Fc=Fc_W*hidden+Fc_B % corrected
The following documentation links might be helpful:
Hope this helps.
  1 件のコメント
James
James 2024 年 7 月 19 日 12:04
Thank you for your help!
I tried your code and the result showed same value as the value of "Y=predict(net,X)"
I really appreciate!

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