1、function c, sigma , W_output = SOFNN( X, d, Kd )%SOFNN Self-Organizing Fuzzy Neural Networks%Input Parameters% X(r,n) - rth traning data from nth observation% d(n) - the desired output of the network (must be a row vector)% Kd(r) - predefined distance threshold for the rth input%Output Parameters% c
2、(IndexInputVariable,IndexNeuron)% sigma(IndexInputVariable,IndexNeuron)% W_output is a vector%Setting up Parameters for SOFNNSigmaZero=4;delta=0.12;threshold=0.1354;k_sigma=1.12;%For more accurate results uncomment the following%format long;%Implementation of a SOFNN modelsize_R,size_N=size(X);%size
3、_R - the number of input variablesc=;sigma=;W_output=;u=0; % the number of neurons in the structureQ=;O=;Psi=;for n=1:size_N x=X(:,n); if u=0 % No neuron in the structure? c=x; sigma=SigmaZero*ones(size_R,1); u=1; Psi=GetMePsi(X,c,sigma); Q,O = UpdateStructure(X,Psi,d); pT_n=GetMeGreatPsi(x,Psi(n,:)
4、; else Q,O,pT_n = UpdateStructureRecursively(X,Psi,Q,O,d,n); end; KeepSpinning=true; while KeepSpinning %Calculate the error and if-part criteria ae=abs(d(n)-pT_n*O); %approximation error phi,=GetMePhi(x,c,sigma); maxphi,maxindex=max(phi); % maxindex refers to the neurons index if aedelta if maxphit
5、hreshold %enlarge width minsigma,minindex=min(sigma(:,maxindex); sigma(minindex,maxindex)=k_sigma*minsigma; Psi=GetMePsi(X,c,sigma); Q,O = UpdateStructure(X,Psi,d); pT_n=GetMeGreatPsi(x,Psi(n,:); else %Add a new neuron and update structure ctemp=; sigmatemp=; dist=0; for r=1:size_R dist=abs(x(r)-c(r
6、,1); distIndex=1; for j=2:u if abs(x(r)-c(r,j)dist distIndex=j; dist=abs(x(r)-c(r,j); end; end; if dist=Kd(r) ctemp=ctemp; c(r,distIndex); sigmatemp=sigmatemp ; sigma(r,distIndex); else ctemp=ctemp; x(r); sigmatemp=sigmatemp ; dist; end; end; c=c ctemp; sigma=sigma sigmatemp; Psi=GetMePsi(X,c,sigma)
7、; Q,O = UpdateStructure(X,Psi,d); KeepSpinning=false; u=u+1; end; else if maxphi=ae L=Q*p_n*(temp)(-1); Q_next=(eye(length(Q)-L*pT_n)*Q; O_next=O + L*ee;else Q_next=eye(length(Q)*Q; O_next=O;end;endfunction Q , O = UpdateStructure(X,Psi,d)GreatPsiBig = GetMeGreatPsi(X,Psi);%M=u*(r+1)%n - the number
8、of observationsM,=size(GreatPsiBig);%Others Ways of getting Q=PT(t)*P(t)-1%*%opts.SYM = true;%Q = linsolve(GreatPsiBig*GreatPsiBig,eye(M),opts);%Q = inv(GreatPsiBig*GreatPsiBig);%Q = pinv(GreatPsiBig*GreatPsiBig);%*Y=GreatPsiBigeye(M);Q=GreatPsiBigY;O=Q*GreatPsiBig*d;end%This function works too with
9、 x% (X=X and Psi is a Matrix) - Gets you the whole GreatPsi% (X=x and Psi is the row related to x) - Gets you just the column related with the observationfunction GreatPsi = GetMeGreatPsi(X,Psi)%Psi - In a row you go through the neurons and in a column you go through number of%observations * Psi(#obs,IndexNeuron) *GreatPsi=;N,U=size(Psi);for n=1:N x=X(:,n); GreatPsiCol=; for u=1:U GreatPsiCol= GreatPsiCol ; Psi(n,u)*1; x ; end; GreatPsi=GreatPsi GreatPsiCol;end;endfunction phi, SumPhi=GetM
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