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cs.DM2026
Parallelizable Gradient-Based Optimization For Multi-Objective MaxCut
Jingjuan Huang, Alvaro Velasquez, Cheng-Han Huang +3
Multi-objective combinatorial optimization arises in a wide range of problems and applications, including the canonical multi-objective MaxCut problem. Differentiable single-instan…
math.OC2026
Coordinate-wise Polyhedral Method for Eliciting Multivariate Linear Utility and Univariate Nonlinear Utility Functions
Jiaxin Wei, Jia Liu, Huifu Xu
In this paper, we propose a coordinate-wise polyhedral method (CPM) for cutting polyhedra with theoretical guarantees of convergence. Unlike the existing polyhedral method, which d…
math.OC2026
Maximum Utility Split Method for Utility Preference Elicitation
Bo Chen, Jia Liu, Huifu Xu
In this paper, we propose a new approach, called maximum utility split (MUS) scheme, which is built on random utility split (RUS) scheme but with a notable difference: one lottery…