This paper presents a new crossover operator for genetic programming – dominance crossover. Dominance crossover is similar to the use of dominance in nature. In nature, dominance is used as a genotype to phenotype mapping when an organism carries pairs (or more than one) chromosome, but here we use dominance on a haploid structure. The haploid form contains all the information relevant to the p...

We consider optimization problems with second order stochastic dominance constraints formulated as a relation of Lorenz curves. We characterize the relation in terms of rank dependent utility functions, which generalize Yaari’s utility functions. We develop optimality conditions and duality theory for problems with Lorenz dominance constraints. We prove that Lagrange multipliers associated with...

We prove Abelian magnetic monopole dominance in the string tension of QCD. Abelian and monopole dominance in low energy physics of QCD has been confirmed for various quantities by recent Monte Carlo simulations of lattice gauge theory. In order to prove this dominance, we use the reformulation of continuum Yang-Mills theory in the maximal Abelian gauge as a deformation of a topological field th...

Using concepts from the character theory of finite groups, it is shown that Lieb's Permanental Dominance Conjecture is equivalent to a certain maximal eigenvalue conjecture.

We propose a novel type of color magnetic condensation originating from magnetic monopoles so that it provides the mass of off-diagonal gluons in the Yang-Mills theory. This dynamical mass generation enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which supports the dual superconductivity picture of quark confinement. Moreover,...

This investigation uses dyadic power theory (Dunbar, 2004; Dunbar & Burgoon, 2005a; Rollins & Bahr, 1976) to offer competing hypotheses examining the relationship between power and dominance in close relationships. Forty-seven couples engaged in a conversation while being videotaped; the tapes were coded by third-party observers for dominance. Participants rated themselves to be the most domina...

The molecule calcium calmodulin kinase II ( CaMKII) is known to play a fundamental role in the induction of many forms of synaptic plasticity. A major theory of CaMKII function proposes that autophosphorylation of the molecule mediates not only the induction but also the maintenance of synaptic plasticity. To test this hypothesis, we assessed ocular dominance plasticity in genetically engineere...

This paper introduces a mechanism for computing approximations of Dominance-Based Rough Sets (DBRS) by bit-vector encodings. DBRS was introduced by Greco et al. as an extension of Pawlak’s classical rough sets theory by using dominance relations in place of equivalence relations for approximating sets of preference ordered decision classes. Our formulation of dominance-based approximation space...