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Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

机器学习 · 统计学 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

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…

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Not all generate-and-test search algorithms are created equal. Bayesian Optimization (BO) invests a lot of computation time to generate the candidate solution that best balances the predicted value and the uncertainty given all previous…

神经与进化计算 · 计算机科学 2020-05-11 Gongjin Lan , Jakub M. Tomczak , Diederik M. Roijers , A. E. Eiben

The performance of Bayesian optimization (BO), a highly sample-efficient method for expensive black-box problems, is critically governed by the selection of its hyperparameters, including the kernel and acquisition functions. This presents…

机器学习 · 计算机科学 2026-05-25 Joon-Hyun Park , Mujin Cheon , Jeongsu Wi , Dong-Yeun Koh

Bayesian optimization (BO) is a powerful approach for optimizing black-box, expensive-to-evaluate functions. To enable a flexible trade-off between the cost and accuracy, many applications allow the function to be evaluated at different…

机器学习 · 计算机科学 2021-10-27 Shibo Li , Robert M. Kirby , Shandian Zhe

This paper studies an entropy-based multi-objective Bayesian optimization (MBO). The entropy search is successful approach to Bayesian optimization. However, for MBO, existing entropy-based methods ignore trade-off among objectives or…

机器学习 · 计算机科学 2020-02-12 Shinya Suzuki , Shion Takeno , Tomoyuki Tamura , Kazuki Shitara , Masayuki Karasuyama

Bayesian Optimization (BO) is an effective approach for global optimization of black-box functions when function evaluations are expensive. Most prior works use Gaussian processes to model the black-box function, however, the use of kernels…

机器学习 · 计算机科学 2023-09-25 Dat Phan-Trong , Hung Tran-The , Sunil Gupta

Recent years have seen a surge of interest in the algorithmic estimation of stochastic entropy production (EP) from trajectory data via machine learning. A crucial element of such algorithms is the identification of a loss function whose…

统计力学 · 物理学 2024-01-22 Euijoon Kwon , Yongjoo Baek

Bayesian optimization (BO) is a popular methodology to tune the hyperparameters of expensive black-box functions. Traditionally, BO focuses on a single task at a time and is not designed to leverage information from related functions, such…

机器学习 · 统计学 2021-04-20 David Salinas , Huibin Shen , Valerio Perrone

Bayesian optimization (BO) is a class of sample-efficient global optimization methods, where a probabilistic model conditioned on previous observations is used to determine future evaluations via the optimization of an acquisition function.…

机器学习 · 计算机科学 2020-06-22 Eric Hans Lee , David Eriksson , Bolong Cheng , Michael McCourt , David Bindel

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…

机器学习 · 计算机科学 2024-08-16 Darian Nwankwo , David Bindel

The acquisition function, a critical component in Bayesian optimization (BO), can often be written as the expectation of a utility function under a surrogate model. However, to ensure that acquisition functions are tractable to optimize,…

机器学习 · 计算机科学 2022-10-10 Jiaming Song , Lantao Yu , Willie Neiswanger , Stefano Ermon

Deterministic policies are often preferred over stochastic ones when implemented on physical systems. They can prevent erratic and harmful behaviors while being easier to implement and interpret. However, in practice, exploration is largely…

机器学习 · 计算机科学 2024-07-09 Mahdi Kallel , Debabrota Basu , Riad Akrour , Carlo D'Eramo

We analyze the problem of learning a single user's preferences in an active learning setting, sequentially and adaptively querying the user over a finite time horizon. Learning is conducted via choice-based queries, where the user selects…

机器学习 · 统计学 2017-02-27 Stephen N. Pallone , Peter I. Frazier , Shane G. Henderson

Bayesian optimization (BO) efficiently finds high-performing parameters by maximizing an acquisition function, which models the promise of parameters. A major computational bottleneck arises in acquisition function optimization, where…

机器学习 · 计算机科学 2025-12-10 Kaichi Irie , Shuhei Watanabe , Masaki Onishi

Bayesian optimization (BO) developed as an approach for the efficient optimization of expensive black-box functions without gradient information. A typical BO paper introduces a new approach and compares it to some alternatives on simulated…

统计计算 · 统计学 2023-10-17 Jiajie Kong , Tony Pourmohamad , Herbert K. H. Lee

Bayesian optimization (BO) is a widely used iterative algorithm for optimizing black-box functions. Each iteration requires maximizing an acquisition function, such as the upper confidence bound (UCB) or a sample path from the Gaussian…

机器学习 · 统计学 2025-06-16 Hwanwoo Kim , Chong Liu , Yuxin Chen

Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

机器学习 · 计算机科学 2025-02-12 Eduardo C. Garrido-Merchán

Bayesian optimization is a powerful global optimization technique for expensive black-box functions. One of its shortcomings is that it requires auxiliary optimization of an acquisition function at each iteration. This auxiliary…

机器学习 · 统计学 2014-02-28 Ziyu Wang , Babak Shakibi , Lin Jin , Nando de Freitas