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Bayesian optimization (BO) has become an established framework and popular tool for hyperparameter optimization (HPO) of machine learning (ML) algorithms. While known for its sample-efficiency, vanilla BO can not utilize readily available…

Machine Learning · Computer Science 2022-04-26 Carl Hvarfner , Danny Stoll , Artur Souza , Marius Lindauer , Frank Hutter , Luigi Nardi

In this work we propose a batch Bayesian optimization method for combinatorial problems on permutations, which is well suited for expensive-to-evaluate objectives. We first introduce LAW, an efficient batch acquisition method based on…

Machine Learning · Statistics 2023-01-26 Changyong Oh , Roberto Bondesan , Efstratios Gavves , Max Welling

Many expensive black-box optimisation problems are sensitive to their inputs. In these problems it makes more sense to locate a region of good designs, than a single-possibly fragile-optimal design. Expensive black-box functions can be…

Machine Learning · Computer Science 2021-12-16 Nicholas D. Sanders , Richard M. Everson , Jonathan E. Fieldsend , Alma A. M. Rahat

We present Acquisition Thompson Sampling (ATS), a novel technique for batch Bayesian Optimization (BO) based on the idea of sampling multiple acquisition functions from a stochastic process. We define this process through the dependency of…

Machine Learning · Computer Science 2019-10-18 Alessandro De Palma , Celestine Mendler-Dünner , Thomas Parnell , Andreea Anghel , Haralampos Pozidis

In Bayesian optimization, accounting for the importance of the output relative to the input is a crucial yet challenging exercise, as it can considerably improve the final result but often involves inaccurate and cumbersome entropy…

Machine Learning · Computer Science 2020-12-30 Antoine Blanchard , Themistoklis Sapsis

Optimization of high-dimensional black-box functions is an extremely challenging problem. While Bayesian optimization has emerged as a popular approach for optimizing black-box functions, its applicability has been limited to…

Machine Learning · Statistics 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Debiased recommendation with a randomized dataset has shown very promising results in mitigating the system-induced biases. However, it still lacks more theoretical insights or an ideal optimization objective function compared with the…

Information Retrieval · Computer Science 2023-03-22 Dugang Liu , Pengxiang Cheng , Zinan Lin , Xiaolian Zhang , Zhenhua Dong , Rui Zhang , Xiuqiang He , Weike Pan , Zhong Ming

A well-balanced exploration-exploitation trade-off is crucial for successful acquisition functions in Bayesian optimization. However, there is a lack of quantitative measures for exploration, making it difficult to analyze and compare…

Machine Learning · Computer Science 2026-05-15 Leonard Papenmeier , Nuojin Cheng , Stephen Becker , Luigi Nardi

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

This paper studies the problem of distributed multi-agent Bayesian optimization with both coupled black-box constraints and known affine constraints. A primal-dual distributed algorithm is proposed that achieves similar regret/violation…

Machine Learning · Computer Science 2023-10-03 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Bayesian optimization (BO) is an efficient method for optimizing expensive black-box functions. In real-world applications, BO often faces a major problem of missing values in inputs. The missing inputs can happen in two cases. First, the…

Machine Learning · Computer Science 2020-06-22 Phuc Luong , Dang Nguyen , Sunil Gupta , Santu Rana , Svetha Venkatesh

Bayesian optimization is a promising methodology for analog circuit synthesis. However, the sequential nature of the Bayesian optimization framework significantly limits its ability to fully utilize real-world computational resources. In…

Machine Learning · Computer Science 2021-06-30 Shuhan Zhang , Fan Yang , Changhao Yan , Dian Zhou , Xuan Zeng

We propose a framework for the configuration and operation of expensive-to-evaluate advanced manufacturing methods, based on Bayesian optimization. The framework unifies a tailored acquisition function, a parallel acquisition procedure, and…

Machine Learning · Computer Science 2023-01-18 Xavier Guidetti , Alisa Rupenyan , Lutz Fassl , Majid Nabavi , John Lygeros

We introduce a class of acquisition functions for sample selection that leads to faster convergence in applications related to Bayesian experimental design and uncertainty quantification. The approach follows the paradigm of active…

Machine Learning · Statistics 2021-04-12 Antoine Blanchard , Themistoklis Sapsis

The partially observable constrained optimization problems (POCOPs) impede data-driven optimization techniques since an infeasible solution of POCOPs can provide little information about the objective as well as the constraints. We endeavor…

Machine Learning · Computer Science 2023-12-27 Shengbo Wang , Ke Li

Recent advances in computationally efficient non-myopic Bayesian optimization (BO) improve query efficiency over traditional myopic methods like expected improvement while only modestly increasing computational cost. These advances have…

Machine Learning · Statistics 2021-12-07 Yunxiang Zhang , Xiangyu Zhang , Peter I. Frazier

Bayesian optimization (BO) methods choose sample points by optimizing an acquisition function derived from a statistical model of the objective. These acquisition functions are chosen to balance sampling regions with predicted good…

Machine Learning · Computer Science 2024-08-16 Darian Nwankwo , David Bindel

Estimating posteriors and the associated model evidences, with desired accuracy and affordable computational cost, is a core issue of Bayesian model updating, and can be of great challenge given expensive-to-evaluate models and posteriors…

Computation · Statistics 2026-04-09 Jingwen Song , Pengfei Wei

Bayesian optimization (BO) provides a powerful framework for optimizing black-box, expensive-to-evaluate functions. It is therefore an attractive tool for engineering design problems, typically involving multiple objectives. Thanks to the…

Machine Learning · Computer Science 2024-09-06 Navid Ansari , Alireza Javanmardi , Eyke Hüllermeier , Hans-Peter Seidel , Vahid Babaei

Bayesian optimisation (BO) algorithms have shown remarkable success in applications involving expensive black-box functions. Traditionally BO has been set as a sequential decision-making process which estimates the utility of query points…

Machine Learning · Computer Science 2022-10-25 Rafael Oliveira , Louis Tiao , Fabio Ramos
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