1、k_sigma=1.12;%For more accurate results uncomment the following%format long;%Implementation of a SOFNN modelsize_R,size_N=size(X);%size_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 stru
2、cture?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,:); elseQ,O,pT_n = UpdateStructureRecursively(X,Psi,Q,O,d,n); end; KeepSpinning=true; while KeepSpinning%Calculate the error and if-part criteriaae=abs(d(n)-pT_n*O); %approx
3、imation errorphi,=GetMePhi(x,c,sigma);maxphi,maxindex=max(phi); % maxindex refers to the neurons indexif aedeltaif maxphithreshold %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=GetMeGre
4、atPsi(x,Psi(n,:else %Add a new neuron and update structure ctemp=; sigmatemp=; dist=0; for r=1:size_Rdist=abs(x(r)-c(r,1);distIndex=1;for j=2:uif abs(x(r)-c(r,j)dist distIndex=j; dist=abs(x(r)-c(r,j);end;if dist=ae L=Q*p_n*(temp)(-1); Q_next=(eye(length(Q)-L*pT_n)*Q; O_next=O + L*ee; Q_next=eye(leng
5、th(Q)*Q; O_next=O;function Q , O = UpdateStructure(X,Psi,d)GreatPsiBig = GetMeGreatPsi(X,Psi);%M=u*(r+1)%n - the number 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
6、 = pinv(GreatPsiBig*GreatPsiBigY=GreatPsiBigeye(M);Q=GreatPsiBigY;O=Q*GreatPsiBig*d%This function works too with 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);N GreatPsiCol=; for u=1:UGreatPsiCol= GreatPsiCol ; Psi(n,u)*1; x ; GreatPsi=GreatPsi GreatPsiCol;function phi, SumPhi=GetM
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