radialUpdate.m
上传用户:fsbooksir
上传日期:2013-10-19
资源大小:14k
文件大小:3k
- function [k,mu,M,match,aUpdate,rUpdate] = radialUpdate(match,aUpdate,rUpdate,k,mu,M,delta,x,y,hyper,t,bFunction,walkInt,walk);
- % PURPOSE :
- if nargin < 14, error('Not enough input arguments.'); end
- [N,d] = size(x); % N = number of data, d = dimension of x.
- [N,c] = size(y); % c = dimension of y, i.e. number of outputs.
- insideUpdate=1;
- uU=rand(1);
- % INITIALISE H AND P MATRICES:
- % ===========================
- invH=zeros(k(t)+1+d,k(t)+1+d,c);
- P=zeros(N,N,c);
- invHproposal=zeros(k(t)+1+d,k(t)+1+d,c);
- Pproposal=zeros(N,N,c);
- proposal=zeros(1,d);
- % UPDATE EACH CENTRE:
- % ==================
- if k(t)==0
- mu{t+1}=mu{t};
- end;
- for basis=1:k(t),
- for i=1:c,
- invH(:,:,i) = (M'*M + (1/delta(t,i))*eye(k(t)+1+d));
- P(:,:,i) = eye(N) - M*inv(invH(:,:,i))*M';
- end;
- % PROPOSE A BASIS FUNCTION TO BE UPDATED:
- % ======================================
- for i=1:d,
- proposal(1,i)= (min(x(:,i))-walk(i)) + ((max(x(:,i))+walk(i))-(min(x(:,i))-walk(i)))*rand(1,1);
- end;
- % CHECK IF THE PROPOSED CENTRE ALREADY EXISTS:
- % ===========================================
- match1=0;
- notEnded=1;
- i=1;
- while ((match1==0)&(notEnded==1)),
- if (mu{t}(i,:)==proposal),
- match1=1;
- elseif (i<k(t)),
- i=i+1;
- else
- notEnded=0;
- end;
- end;
- match2=0;
- notEnded=1;
- i=1;
- if basis>1,
- match2=0;
- notEnded=1;
- i=1;
- while ((match2==0)&(notEnded==1)),
- if (mu{t+1}(i,:)==proposal),
- match2=1;
- elseif (i<basis-1),
- i=i+1;
- else
- notEnded=0;
- end;
- end;
- end;
- if (match1>0),
- match=match+1;
- mu{t+1}(basis,:)=mu{t}(basis,:);
- elseif (match2>0),
- match=match+1;
- mu{t+1}(basis,:)=mu{t}(basis,:);
- else
- % IF IT DOESN'T EXIST, PERFORM AN UPDATE MOVE:
- % ===========================================
- Mproposal = M;
- Mproposal(:,d+1+basis) = feval(bFunction,proposal,x);
- for i=1:c,
- invHproposal(:,:,i) = (Mproposal'*Mproposal + inv(delta(t,i))*eye(k(t)+1+d));
- Pproposal(:,:,i) = eye(N) - Mproposal*inv(invHproposal(:,:,i))*Mproposal';
- end;
- ratio = 1;
- for i=1:c,
- ratio = ratio*sqrt((det(invH(:,:,i)))/(det(invHproposal(:,:,i))))*(((hyper.gamma+y(:,i)'*P(:,:,i)*y(:,i))/(hyper.gamma+y(:,i)'*Pproposal(:,:,i)*y(:,i)))^((hyper.v+N)/2));
- end;
- acceptance = min(1,ratio);
- if (uU<acceptance),
- mu{t+1}(basis,:) = proposal;
- M=Mproposal;
- aUpdate=aUpdate+1;
- else
- mu{t+1}(basis,:) = mu{t}(basis,:);
- rUpdate=rUpdate+1;
- M=M;
- end;
- end;
- end;
- k(t+1) = k(t); % Don't change dimension.
- M = M; % Return the last value of M.