Check if sum over dimension is 0
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I have a matrix A_vk (VxK), and a matrix A_kn (KxN). How to check if A_.k. is 0 or not in which A_.k. = sum (1 to V) sum(1 to N) A_vkn, and A_vk & A_kn are generated form multinational distribution
(A_v1j,A_v2j,...,A_vKj)= mult_rand(X,Phi,Theta)
I generated A_vk and A_kn from here
[A_vk,A_kn]= mult_rand(X,Phi,Theta); Here is mult_rand(X,Phi,Theta)
function [x_pk,x_kn] = mult_rand(X,Phi,Theta)
P = size(X,1); [K,N] = size(Theta);
x_pk = zeros(P,K); x_kn = zeros(K,N);
for n=1:N
inz = find(X(:,n))';
map = bsxfun(@times,Phi(inz,:),Theta(:,n)'); % P x K
map = cumsum(map,2);
x_kp = zeros(K,numel(inz));
for m=1:numel(inz)
x_kp(:,m) = x_kp(:,m) + mrand(X(inz(m),n),map(m,:));
end
x_kn(:,n) = sum(x_kp,2);
x_pk(inz,:) = x_pk(inz,:)+x_kp';
end
end
mrand function
function x = mrand(n,cp)
% cp = cumsum( p );
x = sum(bsxfun(@gt,rand(n,1)*cp(end),cp),2)+1;
x = sparse(x,1,1,numel(cp),1);
end
Hopefully it is easy to understand
matlab matrix
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