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ILP-BO: Integer Linear Programming-Based Black-Box Optimization

Black-box Optimization (BO) is a powerful framework for optimizing expensive objective functions or unknown functions with a limited number of evaluations. A central step of standard BO such as Bayesian optimization is the optimization of a surrogate-based acquisition criterion, which is commonly performed using nonlinear optimization or heuristic search. Therefore, conventional black-box optimization generally does not guarantee global optimality in candidate selection. In this study, we propose Integer Linear Programming-based Black-box Optimization (ILP-BO), a quasi-Bayesian optimization framework that transforms kernel-based surrogate optimization over discrete domains into an Integer...

AuthorsHyakka Nakada, Shu Tanaka
Primary categorycs.LG
Published27 September 2026
Last updated at source27 September 2026
cs.LGmath.OC
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