**x**layer of m units to be topologically connected to an

**y**layer of n units, you could simply fill the diagonal elements of the matrix

**W**of weights. so that the activations given by the weighted sum

**W***

**x**would be topologically spread on the

**y**layer.

The following matlab function returns a mask with the diagonal elements (plus a given neiborourhood) for any matrix dimentionality.

function m = gendiag(N,M,slope) x=1:N; y=1:M; [Y X]=meshgrid(y/M,x/N); M = 1-abs(X-Y); m = exp(-(M-1).^2/(2*(slope^2))); end

example:

octave:12> imagesc(gendiag(70,30, 0.2))

gives

while

octave:12> imagesc(gendiag(40,75, 0.05))gives

## No comments:

## Post a Comment