In this paper several causal Information Theory quantifiers, i.e.�Shannon entropy, statistical complexity and Fisher information using the Bandt and Pompe permutation probability distribution, measure are applied to ...

In nonlinear dynamics, and to a lesser extent in other fields, a widely used measure of complexity is the Permutation Entropy. But there is still no known method to determine the accuracy of this measure. There has been ...

Permutation entropy contains the information about the temporal structure associated with the underlying dynamics of a time series. Its estimation is simple, and because it is based on the comparison of neighboring values, ...

We study a model of spatial random permutations over a discrete set of points. Formally, a permutation σ is sampled proportionally to the weight exp{−α∑_xV(σ(x)−x)}, where α>0 is the temperature and V is a non-negative and ...

We construct an infinite volume spatial random permutation (χ,σ), where χ⊂ℝd is a point process and σ:χ→χ is a permutation (bijection), associated to the formal Hamiltonian H(χ,σ)=∑_x∈χ‖x−σ(x)‖2. The measures are parametrized ...

In this paper, we characterize multi-scaling dynamics by estimating the permutation entropy at different time lags. Numerical simulations generated from fractional Brownian motion were used to illustrate how this multiscale ...

We consider Gibbs distributions on the set of permutations of Zd associated to the Hamiltonian H(σ ) := x V(σ (x) − x), where σ is a permutation and V : Zd → R is a strictly convex potential. Call finite-cycle those ...

Abstract. Query-by-content by means of similarity search is a fundamental operation for applications that deal with multimedia data. For this kind of query it is meaningless to look for elements exactly equal to the ...