% locate all rows and columns with ones
[a,b] = find(x);
% randomize the order of the rows and keep the column indices aligned
ii = randperm(length(a));
a = a(ii);
b = b(ii);
% keep only the first instance of a row
[a,ii] = unique(a);
b = b(ii);
% assign the ones to our output
if islogical(x)
y = false(size(x));
else
y = zeros(size(x),'like',x);
end
ii = sub2ind(size(x),a,b);
y(ii) = 1;
