92 citations · 106 across the 19 of their papers we have counts for
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Steklov Convexification and a Trajectory Method for Global Optimization of Multivariate Quartic Polynomials
Regina S. Burachik, C. Yalçın Kaya
The Steklov function is defined to average a continuous function at each point of its domain by using a window of size given by . It has traditionally been…
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…
The Generalized Bregman Distance
Regina S. Burachik, Minh N. Dao, Scott B. Lindstrom
Recently, a new distance has been introduced for the graphs of two point-to-set operators, one of which is maximally monotone. When both operators are the subdifferential of a prop…
Algorithms for Generating Pareto Fronts of Multi-objective Integer and Mixed-Integer Programming Problems
Regina S. Burachik, C. Yalçın Kaya, M. Mustafa Rizvi
Multi-objective integer or mixed-integer programming problems typically have disconnected feasible domains, making the task of constructing an approximation of the Pareto front cha…