The generalized nested logit model is a new member of the generalized extreme value family of models. The GNL provides a higher degree of flexibility in the estimation of substitution or cross-elasticity between pairs of alternatives than previously developed generalized extreme value models. The generalized nested logit model includes the paired combinatorial logit and cross-nested logit model...

| Constraint relational databases use constraints to both model and query data. A constraint relation contains a nite set of generalized tuples. Each generalized tuple is represented by a conjunction of constraints on a given logical theory and, depending on the logical theory and the speciic conjunction of constraints, it may possibly represent an in-nite set of relational tuples. For their ch...

Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each...

Nested Rollout Policy Adaptation (NRPA) is a Monte Carlo search algorithm for single player games. In this paper we propose to generalize NRPA with temperature and bias analyze theoretically the algorithms. The generalized named GNRPA. Experiments show it improves on different application domains: SameGame Traveling Salesman Problem Time Windows.

The matching property of nested sets, which has been studied in [6], is extended to generalized nested sets, defined in [9]. Pairs of matching generalized nested sets on [m] are constructed and used for the creation of all generalized planar permutations on [m].