In this work, a novel multi-objective efficient global optimization (EGO) algorithm, namely GMOEGO, is presented by proposing an approach of available threads’ infill criterion. The work applies the outstanding hypervolume-based expected improvement criterion to enhance Pareto solutions in view accuracy and their distribution on front, values sophisticated hypervolume (HVI) are technically appr...

This paper investigates the problem of global asymptotic stability of fixed-point statespace two-dimensional (2-D) digital filters described by the Roesser model in the presence of finite wordlength nonlinearities. The class of nonlinearities under consideration captures the combined effects of quantization (except value truncation) and overflow arithmetic employed in practice. A new criterion ...

This paper considers the problem of global asymptotic stability of a class of two-dimensional (2-D ) uncertain discrete systems described by the Fornasini–Marchesini second local state-space (FMSLSS) model under the influence of various combinations of quantization/overflow nonlinearities and interval-like time-varying delay in the state. The systems under consideration involve parameter uncert...

This paper is devoted to graded algebras A having a single homogeneous relation. We give a criterion for A to be N-Koszul where N is the degree of the relation. This criterion uses a theorem due to Gerasimov. As a consequence of the criterion, some new examples of N-Koszul algebras are presented. We give an alternative proof of Gerasimov’s theorem for N = 2, which is related to Dubois-Violette’...

We construct a family of bipartite states of arbitrary dimension whose eigenvalues of the partially transposed matrix can be inferred directly from the block structure of the global density matrix. We identify from this several subfamilies in which the PPT criterion is both necessary and sufficient. A sufficient criterion of separability is obtained, which is fundamental for the discussion. We ...

One natural question when testing performance of global optimization algorithm is: how performances compare to a restart local search algorithm. One purpose of this paper is to provide results for such comparisons. To this end, the performances of a restart (advanced) local-search strategy, the CMA-ES with small initial step-size, are investigated on the 25 functions of the CEC 2005 real-parame...

We prove that the equivalence between Vershik’s standardness criterion and the I-cosiness criterion for a filtration in discrete, negative time, holds separately for each random variable. This gives a strengthening and a more direct proof of the global equivalence between these two criteria. We also provide more elementary original propositions on Vershik’s standardness criterion, while emphasi...