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Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

Multi-objective Bayesian optimization (MOBO) provides a principled framework for optimizing expensive black-box functions with multiple objectives. However, existing MOBO methods often struggle with coverage, scalability with respect to the…

机器学习 · 计算机科学 2026-04-20 Yaohong Yang , Sammie Katt , Samuel Kaski

Bayesian Optimization (BO) is a framework for black-box optimization that is especially suitable for expensive cost functions. Among the main parts of a BO algorithm, the acquisition function is of fundamental importance, since it guides…

We study preferential Bayesian optimization (BO) where reliable feedback is limited to pairwise comparison called duels. An important challenge in preferential BO, which uses the preferential Gaussian process (GP) model to represent…

机器学习 · 计算机科学 2023-06-13 Shion Takeno , Masahiro Nomura , Masayuki Karasuyama

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

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

机器学习 · 统计学 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

Bayesian optimization (BO) has been widely used to optimize expensive and gradient-free objective functions across various domains. However, existing BO methods have not addressed the objective where both inputs and outputs are functions,…

机器学习 · 统计学 2025-12-11 Jingru Huang , Haijie Xu , Manrui Jiang , Chen Zhang

Bayesian optimization is a sequential decision making framework for optimizing expensive-to-evaluate black-box functions. Computing a full lookahead policy amounts to solving a highly intractable stochastic dynamic program. Myopic…

机器学习 · 计算机科学 2020-06-30 Shali Jiang , Daniel R. Jiang , Maximilian Balandat , Brian Karrer , Jacob R. Gardner , Roman Garnett

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

机器人学 · 计算机科学 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

Bayesian optimisation (BO) uses probabilistic surrogate models - usually Gaussian processes (GPs) - for the optimisation of expensive black-box functions. At each BO iteration, the GP hyperparameters are fit to previously-evaluated data by…

机器学习 · 计算机科学 2021-05-04 George De Ath , Richard Everson , Jonathan Fieldsend

Many functions have approximately-known upper and/or lower bounds, potentially aiding the modeling of such functions. In this paper, we introduce Gaussian process models for functions where such bounds are (approximately) known. More…

机器学习 · 计算机科学 2022-10-20 Vu Nguyen , Marc Peter Deisenroth , Michael A. Osborne

Bayesian adaptive inference is widely used in psychophysics to estimate psychometric parameters. Most applications used myopic one-step ahead strategy which only optimizes the immediate utility. The widely held expectation is that global…

机器学习 · 计算机科学 2020-07-02 Juanping Zhu , Hairong Gu

In order to improve the performance of Bayesian optimisation, we develop a modified Gaussian process upper confidence bound (GP-UCB) acquisition function. This is done by sampling the exploration-exploitation trade-off parameter from a…

机器学习 · 计算机科学 2020-06-09 Julian Berk , Sunil Gupta , Santu Rana , Svetha Venkatesh

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…

机器学习 · 计算机科学 2021-11-15 Raul Astudillo , Daniel R. Jiang , Maximilian Balandat , Eytan Bakshy , Peter I. Frazier

Uncertainty estimation for Reinforcement Learning (RL) is a critical component in control tasks where agents must balance safe exploration and efficient learning. While deep neural networks have enabled breakthroughs in RL, they often lack…

机器学习 · 计算机科学 2025-12-22 Matthijs van der Lende , Juan Cardenas-Cartagena

Bayesian optimization (BO) is a powerful paradigm for optimizing expensive black-box functions. Traditional BO methods typically rely on separate hand-crafted acquisition functions and surrogate models for the underlying function, and often…

机器学习 · 计算机科学 2025-07-10 Fengxue Zhang , Yuxin Chen

Bayesian optimization (BO) is a widely used algorithm for solving expensive black-box optimization problems. However, its performance decreases significantly on high-dimensional problems due to the inherent high-dimensionality of the…

机器学习 · 计算机科学 2025-04-16 Jundi Huang , Dawei Zhan

This paper proposes a new randomized strategy for adaptive MCMC using Bayesian optimization. This approach applies to non-differentiable objective functions and trades off exploration and exploitation to reduce the number of potentially…

统计计算 · 统计学 2011-11-01 Nimalan Mahendran , Ziyu Wang , Firas Hamze , Nando de Freitas

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…

机器学习 · 统计学 2021-12-07 Yunxiang Zhang , Xiangyu Zhang , Peter I. Frazier

Policy search reinforcement learning has been drawing much attention as a method of learning a robot control policy. In particular, policy search using such non-parametric policies as Gaussian process regression can learn optimal actions…

机器人学 · 计算机科学 2021-06-15 Hikaru Sasaki , Takamitsu Matsubara