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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

BayesianOptimization(BO) is a sample-efficient black-box optimizer, and extensive methods have been proposed to build the absolute function response of the black-box function through a probabilistic surrogate model, including…

机器学习 · 计算机科学 2024-02-07 Xiaoxing Wang , Jiaxing Li , Chao Xue , Wei Liu , Weifeng Liu , Xiaokang Yang , Junchi Yan , Dacheng Tao

This paper studies the problem of performing a sequence of optimal interventions in a causal dynamical system where both the target variable of interest and the inputs evolve over time. This problem arises in a variety of domains e.g.…

机器学习 · 统计学 2021-10-27 Virginia Aglietti , Neil Dhir , Javier González , Theodoros Damoulas

Bayesian Optimization (BO) is typically used to optimize an unknown function $f$ that is noisy and costly to evaluate, by exploiting an acquisition function that must be maximized at each optimization step. Even if provably asymptotically…

机器学习 · 计算机科学 2024-02-09 Anthony Bardou , Patrick Thiran , Thomas Begin

Bayesian Optimization critically depends on the choice of acquisition function, but no single strategy is universally optimal; the best choice is non-stationary and problem-dependent. Existing adaptive portfolio methods often base their…

机器学习 · 计算机科学 2026-02-10 Giang Ngo , Dat Phan Trong , Dang Nguyen , Sunil Gupta , Svetha Venkatesh

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

Causal Bayesian Optimization (CBO) is a methodology designed to optimize an outcome variable by leveraging known causal relationships through targeted interventions. Traditional CBO methods require a fully and accurately specified causal…

机器学习 · 统计学 2025-03-26 Jean Durand , Yashas Annadani , Stefan Bauer , Sonali Parbhoo

Dynamic pricing is the practice of adjusting the selling price of a product to maximize a firm's revenue by responding to market demand. The literature typically distinguishes between two settings: infinite inventory, where the firm has…

机器学习 · 计算机科学 2025-10-15 Anush Anand , Pranav Agrawal , Tejas Bodas

This work studies how an AI-controlled dog-fighting agent with tunable decision-making parameters can learn to optimize performance against an intelligent adversary, as measured by a stochastic objective function evaluated on simulated…

机器学习 · 计算机科学 2017-08-01 Brett W. Israelsen , Nisar Ahmed , Kenneth Center , Roderick Green , Winston Bennett

This paper presents novel mixed-type Bayesian optimization (BO) algorithms to accelerate the optimization of a target objective function by exploiting correlated auxiliary information of binary type that can be more cheaply obtained, such…

机器学习 · 统计学 2019-06-19 Yehong Zhang , Zhongxiang Dai , Kian Hsiang Low

Bayesian optimization is an effective technique for black-box optimization, but its applicability is typically limited to low-dimensional and small-budget problems due to the cubic complexity of computing the Gaussian process (GP)…

机器学习 · 计算机科学 2025-12-18 Yunyue Wei , Vincent Zhuang , Saraswati Soedarmadji , Yanan Sui

Bayesian Optimization (BO) is a method for globally optimizing black-box functions. While BO has been successfully applied to many scenarios, developing effective BO algorithms that scale to functions with high-dimensional domains is still…

机器学习 · 计算机科学 2024-02-13 Yihang Shen , Carl Kingsford

Bayesian optimization through Gaussian process regression is an effective method of optimizing an unknown function for which every measurement is expensive. It approximates the objective function and then recommends a new measurement point…

机器学习 · 统计学 2017-05-17 Hildo Bijl , Thomas B. Schön , Jan-Willem van Wingerden , Michel Verhaegen

Bayesian Optimization (BO) has become a core method for solving expensive black-box optimization problems. While much research focussed on the choice of the acquisition function, we focus on online length-scale adaption and the choice of…

机器学习 · 计算机科学 2016-12-12 Kim Peter Wabersich , Marc Toussaint

First Order Bayesian Optimization (FOBO) is a sample efficient sequential approach to find the global maxima of an expensive-to-evaluate black-box objective function by suitably querying for the function and its gradient evaluations. Such…

机器学习 · 计算机科学 2023-06-21 Utkarsh Prakash , Aryan Chollera , Kushagra Khatwani , Prabuchandran K. J. , Tejas Bodas

Bayesian optimization (BO) is a global optimization strategy designed to find the minimum of an expensive black-box function, typically defined on a compact subset of $\mathcal{R}^d$, by using a Gaussian process (GP) as a surrogate model…

机器学习 · 统计学 2018-09-24 Eero Siivola , Aki Vehtari , Jarno Vanhatalo , Javier González , Michael Riis Andersen

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

Bayesian optimization is a powerful technique for optimizing expensive-to-evaluate black-box functions, consisting of two main components: a surrogate model and an acquisition function. In recent years, myopic acquisition functions have…

机器学习 · 计算机科学 2025-04-30 Hui Chen , Xuhui Fan , Zhangkai Wu , Longbing Cao

Safe Bayesian optimization (BO) with Gaussian processes is an effective tool for tuning control policies in safety-critical real-world systems, specifically due to its sample efficiency and safety guarantees. However, most safe BO…

最优化与控制 · 数学 2025-12-15 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

In high-dimensional settings, Bayesian optimization (BO) can be expensive and infeasible. The random embedding Bayesian optimization algorithm is commonly used to address high-dimensional BO challenges. However, this method relies on the…

机器学习 · 计算机科学 2024-08-12 Jiaming Lu , Rong J. B. Zhu