In this paper we develop a likelihood ratio test for independence between multivariate discrete random vectors whose components may be dependent or have different marginal distributions. A spec...

In this paper a league championship algorithm (LCA) is developed for structural optimization where the optimization variables are of discrete type and the set of the values possibly obtained by each variable is also given. LCA is a relatively new metaheuristic algorithm inspired from sport championship process. In LCA, each individual can choose to approach to or retreat from other individuals ...

In this paper we initiate the study of discrete random variables over domains. Our work is inspired by work of Daniele Varacca, who devised indexed valuations as models of probabilistic computation within domain theory. Our approach relies on new results about commutative monoids defined on domains that also allow actions of the non-negative reals. Using our approach, we define two such familie...

Quantum mechanics, and in particular the language of quantum mechanics, is deeply entangled with the way physics is done on its many branches. Therefore, the interpretation of the formalism might have a crucial role on areas where both theoretical and experimental efforts are highly developed. Nuclear physics, with its need to take into account so many different effects – which are better under...

NIE, TIANTIAN. Quadratic Programming with Discrete Variables. (Under the direction of Dr. Shu-Cherng Fang.) In this dissertation, we study the quadratic programming problem with discrete variables (DQP). DQP is important in theory and practice, but the combination of the quadratic feature of the objective function and the discrete nature of the feasible domain makes it hard to solve. In this th...