14 citations · 29 across the 9 of their papers we have counts for
15 papers
Cutting Plane Algorithms are Exact for Euclidean Max-Sum Problems
Hoa T. Bui, Sandy Spiers, Ryan Loxton
This paper studies binary quadratic programs in which the objective is defined by a Euclidean distance matrix, subject to a general polyhedral constraint set. This class of nonconc…
Single-Projection Procedure for Infinite Dimensional Convex Optimization Problems
Hoa T. Bui, Regina S. Burachik, Evgeni A. Nurminski +1
In this work, we consider a class of convex optimization problems in a real Hilbert space that can be solved by performing a single projection, i.e., by projecting an infeasible po…
An exact cutting plane method for solving p-dispersion-sum problems
Sandy Spiers, Hoa T. Bui, Ryan Loxton
This paper aims to answer an open question recently posed in the literature, that is to find a fast exact method for solving the p-dispersion-sum problem (PDSP), a nonconcave quadr…
Cutting plane algorithms for nonlinear binary optimization
Hoa T. Bui, Qun Lin, Ryan Loxton
Current state-of-the-art methods for solving discrete optimization problems are usually restricted to convex settings. In this paper, we propose a general approach based on cutting…
The linkedness of cubical polytopes: The cube
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
The paper is concerned with the linkedness of the graphs of cubical polytopes. A graph with at least vertices is \textit{-linked} if, for every set of disjoint pairs of…
The linkedness of cubical polytopes: beyond the cube
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The paper is concerned with the linkedness of the graphs of cubical polytopes. A gra…
A Note on the Finite Convergence of Alternating Projections
Hoa T. Bui, Ryan Loxton, Asghar Moeini
We establish sufficient conditions for finite convergence of the alternating projections method for two non-intersecting and potentially nonconvex sets. Our results are based on a…
Zero Duality Gap in View of Abstract Convexity
Hoa T. Bui, Regina S. Burachik, Alexander Y. Kruger +1
Using tools provided by the theory of abstract convexity, we extend conditions for zero duality gap to the context of nonconvex and nonsmooth optimization. Mimicking the classical…
Necessary Conditions for Non-Intersection of Collections of Sets
Hoa T. Bui, Alexander Y. Kruger
This paper continues studies of non-intersection properties of finite collections of sets initiated 40 years ago by the extremal principle. We study elementary non-intersection pro…
Some new characterizations of intrinsic transversality in Hilbert spaces
Nguyen Hieu Thao, Hoa Thi Bui, Nguyen Duy Cuong +1
Motivated by a number of research questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new character…
Extremality, Stationarity and Generalized Separation of Collections of Sets
Hoa T. Bui, Alexander Y. Kruger
The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversalit…
Characterizations of Nonsmooth Robustly Quasiconvex Functions
Hoa T. Bui, Pham Duy Khanh, Tran Thi Tu Trinh
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces.
The linkedness of cubical polytopes
Hoa Thi Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The paper is concerned with the linkedness of the graphs of cubical polytopes. A gra…
Connectivity of cubical polytopes
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. We deal with the connectivity of the graphs of cubical polytopes. We first establish…
About Extensions of the Extremal Principle
Hoa T. Bui, Alexander Y. Kruger
In this article, after recalling and discussing the conventional extremality, local extremality, stationarity and approximate stationarity properties of collections of sets and the…