neigh_func_default

Arguments

x_current

the point for which we want to compute a neighbor

T

the current temperature. This parameter is ignored but is there to make all the neighbour function consistent.

param

a two columns vector. The first column correspond to the negative amplitude of variation and the second column corresponds to the positive amplitude of variation of the neighborhood. By default, the first column is a column of -0.1 and the second column is a column of 0.1.

x_neigh

the computed neighbor

Description

This function computes a neighbor of a given point. For example, for a continuous vector, a neighbor will be produced by adding some noise to each component of the vector. For a binary string, a neighbor will be produced by changing one bit from 0 to 1 or from 1 to 0.

Examples

function y=rastrigin(x)
  y = x(1)^2+x(2)^2-cos(12*x(1))-cos(18*x(2));
endfunction

x0          = [2 2];
Proba_start = 0.7;
It_Pre      = 100;
It_extern   = 100;
It_intern   = 1000;
x_test = neigh_func_default(x0,%nan);

saparams = init_param();
saparams = add_param(saparams,'neigh_func', neigh_func_default);

T0 = compute_initial_temp(x0, rastrigin, Proba_start, It_Pre, saparams);
Log = %T;
[x_opt, f_opt, sa_mean_list, sa_var_list] = optim_sa(x0, rastrigin, It_extern, It_intern, T0, Log,saparams);

mprintf('optimal solution:\n'); disp(x_opt);
mprintf('value of the objective function = %f\n', f_opt);

See also

• optim_sa — A Simulated Annealing optimization method
• compute_initial_temp — A SA function which allows to compute the initial temperature of the simulated annealing
• temp_law_default — A SA function which computed the temperature of the next temperature stage