function [U, k] = recuit_simule(U, k, AD, T, beta)

    N = size(AD, 3);
    k_p = mod(k + randi([0, N-2], size(k)), N) + 1;

    U_p = zeros(size(U));
    for i = 1:size(U, 1)
	    for j = 1:size(U, 2)
		    U_p(i, j) = AD(i, j, k_p(i, j)) + beta * regularisation(i, j, k, k_p(i, j));
	    end
    end

    % indices des énergies inférieurs
    less = (U_p <= U);
    probas = exp( (U - U_p) / T );

    U(less) = U_p(less);
    k(less) = k_p(less);

    rd = rand(size(probas)) < probas;
    U(rd) = U_p(rd);
    k(rd) = k_p(rd);

end