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function smallpot = marginalize_pot(bigpot, onto, maximize)
% MARGINALIZE_POT Marginalize a upot onto a smaller domain.
% smallpot = marginalize_pot(bigpot, onto, maximize)
%
% The maximize argument is ignored
numer = marg_table(bigpot.p .* bigpot.u, bigpot.domain, bigpot.sizes, onto);
denom = marg_table(bigpot.p, bigpot.domain, bigpot.sizes, onto);
p = denom;
% replace 0s by 1s before dividing. This is valid since demon(i) = 0 => numer(i) = 0
denom = denom + (denom == 0);
u = numer ./ denom;
ns = zeros(1, max(bigpot.domain));
ns(bigpot.domain) = bigpot.sizes;
smallpot = upot(onto, ns(onto), p, u);
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