Mangasarian (Optim. Lett., 6(3), 431–436, 2012) proposed a constraints transformation based approach to securely solving the horizontally partitioned linear programs among multiple entities—every entity holds its own private equality constraints. More recently, Li et al. (Optim. Lett., doi:10.1007/s11590-011-0403-2, 2012) extended the transformation approach to horizontally partitioned linear p...

Abstract: The purpose of the paper is to present a class of algorithms using to solve the optimization problem concerning with H∞ feedback control for linear discrete-time stochastic systems with stochastic parameter uncertainties, as well as a method for the optimization problem reducing this to a standard formulation used two convex inequalities, which can be solved by linear matrix inequalit...

This paper deals with the optimal control problem of systems with state linear equality constraints. For deterministic linear systems, first we find various existence conditions for constraining state feedback control and determine all constraining feedback gains, from which the optimal feedback gain is derived by using the result of singular optimal control. For systems with stochastic process...

A stochastic algorithm is proposed for the global optimization of nonconvex functions subject to linear constraints. Our method follows the trajectory of an appropriately defined Stochastic Differential Equation (SDE). The feasible set is assumed to be comprised of linear equality constraints, and possibly box constraints. Feasibility of the trajectory is achieved by projecting its dynamics ont...

This multi-national study hypothesized that higher levels of country-level gender equality would predict smaller differences in the frequency of women's compared to men's drinking in public (like bars and restaurants) settings and possibly private (home or party) settings. GENACIS project survey data with drinking contexts included 22 countries in Europe (8); the Americas (7); Asia (3); Austral...

We introduce the notion of discrimination, which is a generalized form of partitioning, and present an expressive term language for defining equivalence relations on complex data. The language allows definition of equivalence relations by freely combining structural equivalence, equivalence of lists under commutativity, idempotence (bag and set equivalence), and more. We then show that worst-ca...

We propose a spin-variable reduction method for Ising machines to handle linear equality constraints in combinatorial optimization problem. including quantum-annealing can effectively solve problems. They are designed find the lowest-energy solution of quadratic unconstrained binary (QUBO), which is mapped from The proposed reduces number variables formulate QUBO compared conventional penalty m...