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Bayesian optimization (BO) is an effective approach to optimize expensive black-box functions, that seeks to trade-off between exploitation (selecting parameters where the maximum is likely) and exploration (selecting parameters where we…

Machine Learning · Statistics 2021-10-19 Tristan Fauvel , Matthew Chalk

The generation of decision-theoretic Bayesian optimal designs is complicated by the significant computational challenge of minimising an analytically intractable expected loss function over a, potentially, high-dimensional design space. A…

Methodology · Statistics 2017-02-07 Antony M. Overstall , James M. McGree , Christopher C. Drovandi

Bayesian optimization with Gaussian processes has become an increasingly popular tool in the machine learning community. It is efficient and can be used when very little is known about the objective function, making it popular in expensive…

Machine Learning · Computer Science 2011-03-08 Eric Brochu , Matthew W. Hoffman , Nando de Freitas

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

Machine Learning · Computer Science 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Bayesian Optimization is an effective method for searching the global maxima of an objective function especially if the function is unknown. The process comprises of using a surrogate function and choosing an acquisition function followed…

Machine Learning · Computer Science 2021-11-10 Ashish Anil Pawar , Ujwal Warbhe

Bayesian Optimization (BO) is a widely-used method for optimizing expensive-to-evaluate black-box functions. Traditional BO assumes that the learner has full control over all query variables without additional constraints. However, in many…

Machine Learning · Computer Science 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

Bayesian optimization (BO) is a sample-efficient approach to optimizing costly-to-evaluate black-box functions. Most BO methods ignore how evaluation costs may vary over the optimization domain. However, these costs can be highly…

Machine Learning · Computer Science 2021-11-15 Raul Astudillo , Daniel R. Jiang , Maximilian Balandat , Eytan Bakshy , Peter I. Frazier

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

Machine Learning · Computer Science 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Scientific experiments are usually expensive due to complex experimental preparation and processing. Experimental design is therefore involved with the task of finding the optimal experimental input that results in the desirable output by…

Machine Learning · Statistics 2020-02-27 Cheng Li , Sunil Gupta , Santu Rana , Vu Nguyen , Antonio Robles-Kelly , Svetha Venkatesh

A solution that is only reliable under favourable conditions is hardly a safe solution. Min Max Optimization is an approach that returns optima that are robust against worst case conditions. We propose algorithms that perform Min Max…

Machine Learning · Computer Science 2021-07-30 Dorina Weichert , Alexander Kister

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

In many scientific and engineering applications, we are tasked with the maximisation of an expensive to evaluate black box function $f$. Traditional settings for this problem assume just the availability of this single function. However, in…

Machine Learning · Statistics 2019-03-19 Kirthevasan Kandasamy , Gautam Dasarathy , Junier B. Oliva , Jeff Schneider , Barnabas Poczos

Bayesian optimization is a methodology for global optimization of unknown and expensive objectives. It combines a surrogate Bayesian regression model with an acquisition function to decide where to evaluate the objective. Typical regression…

Machine Learning · Computer Science 2023-04-04 Afonso Eduardo , Michael U. Gutmann

We develop and analyze a method for stochastic simulation optimization based on Gaussian process models within a trust-region framework. We focus on settings where the variance of the objective function is large, making accurate estimation…

Optimization and Control · Mathematics 2026-03-10 Mickael Binois , Jeffrey Larson

Bayesian optimization is used in many areas of AI for the optimization of black-box processes and has achieved impressive improvements of the state of the art for a lot of applications. It intelligently explores large and complex design…

Materials Science · Physics 2021-08-03 Lars Kotthoff , Hud Wahab , Patrick Johnson

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

Machine Learning · Computer Science 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

Machine Learning · Computer Science 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

Machine Learning · Statistics 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

Saddle point optimization is a critical problem employed in numerous real-world applications, including portfolio optimization, generative adversarial networks, and robotics. It has been extensively studied in cases where the objective…

Machine Learning · Computer Science 2025-03-25 Shubhankar Agarwal , Hamzah I. Khan , Sandeep P. Chinchali , David Fridovich-Keil

We propose to use Bayesian optimization (BO) to improve the efficiency of the design selection process in clinical trials. BO is a method to optimize expensive black-box functions, by using a regression as a surrogate to guide the search.…

Methodology · Statistics 2021-05-20 Jakob Richter , Tim Friede , Jörg Rahnenführer
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