Hybrid simulated annealing using Tsallis statistics Original Research Article

We use the Hybrid Monte Carlo method to sample the Tsallis configurational probability p(x) which depends on the parameter q. We use here a homogeneous Markov chain which satisfies the detailed balance condition for all values of q and we apply this method to Simulated Annealing optimization problems. In two examples, a test function with many minima and the discrete Random phase sine-Gordon Model, we show the dependence on the q parameter of the ground state configuration energy obtained after annealing. We conclude that the performance of the simulated annealing method is improved by using q>1 values.