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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…

机器学习 · 统计学 2018-08-06 Zi Wang , Chengtao Li , Stefanie Jegelka , Pushmeet Kohli

Bilevel optimization is characterized by a two-level optimization structure, where the upper-level problem is constrained by optimal lower-level solutions, and such structures are prevalent in real-world problems. The constraint by optimal…

机器学习 · 计算机科学 2025-05-29 Ruth Wan Theng Chew , Quoc Phong Nguyen , Bryan Kian Hsiang Low

Bayesian optimization offers a flexible framework to optimize an objective function that is expensive to be evaluated. A Bayesian optimizer iteratively queries the function values on its carefully selected points. Subsequently, it makes a…

机器学习 · 计算机科学 2019-06-25 Yang Li , Yaqiang Yao

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

机器学习 · 计算机科学 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Bayesian optimization (BO) is a popular framework to optimize black-box functions. In many applications, the objective function can be evaluated at multiple fidelities to enable a trade-off between the cost and accuracy. To reduce the…

机器学习 · 计算机科学 2020-12-11 Shibo Li , Wei Xing , Mike Kirby , Shandian Zhe

Bayesian Optimization (BO) is an effective framework for globally optimizing functions whose evaluations are expensive. It is particularly effective for optimizing functions defined over continuous domains and explicitly handles stochastic…

计算工程、金融与科学 · 计算机科学 2026-05-21 Buqing Ou , Frederike Dümbgen

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…

机器学习 · 计算机科学 2024-12-23 Vu Viet Hoang , Quoc Anh Hoang Nguyen , Hung Tran The

Bayesian optimization (BO) is a powerful approach to sample-efficient optimization of black-box functions. However, in settings with very few function evaluations, a successful application of BO may require transferring information from…

机器学习 · 计算机科学 2024-09-10 Aryan Deshwal , Sait Cakmak , Yuhou Xia , David Eriksson

The efficient resolution of Bayesian inverse problems remains challenging due to the high computational cost of traditional sampling methods. In this paper, we propose a novel framework that integrates Conditional Flow Matching (CFM) with a…

机器学习 · 计算机科学 2025-05-20 Daniil Sherki , Ivan Oseledets , Ekaterina Muravleva

Contextual Bayesian optimization (CBO) is a powerful framework for sequential decision-making given side information, with important applications, e.g., in wind energy systems. In this setting, the learner receives context (e.g., weather…

机器学习 · 统计学 2022-10-18 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Andreas Krause , Ilija Bogunovic

Multi-fidelity Bayesian optimization (MFBO) accelerates the search for the global optimum of black-box functions by integrating inexpensive, low-fidelity approximations. The central task of an MFBO policy is to balance the cost-efficiency…

机器学习 · 计算机科学 2026-02-03 Md Abir Hossen , Mohammad Ali Javidian , Vignesh Narayanan , Jason M. O'Kane , Pooyan Jamshidi

Bayesian optimization (BO) has been widely used to optimize expensive and black-box functions across various domains. However, existing BO methods have not addressed tensor-output functions. To fill this gap, we propose a novel…

机器学习 · 计算机科学 2026-03-03 Jingru Huang , Haijie Xu , Jie Guo , Manrui Jiang , Chen Zhang

Many real-world optimization problems are guided by complex, subjective preferences that are difficult to express as explicit closed-form objectives. In response, we introduce Language-in-the-Loop Optimization (LILO), a Bayesian…

Bayesian Optimization (BO) is a popular framework for optimizing black-box functions. Despite its effectiveness, BO is often inefficient for high-dimensional problems due to the exponential growth of the search space, heterogeneity of the…

最优化与控制 · 数学 2026-05-08 Sourav Das , Debjani Chakraborty , Pabitra Mitra

In decision-making problems, the outcome of an intervention often depends on the causal relationships between system components and is highly costly to evaluate. In such settings, causal Bayesian optimization (CBO) can exploit the causal…

机器学习 · 统计学 2025-02-21 Shriya Bhatija , Paul-David Zuercher , Jakob Thumm , Thomas Bohné

We study how to accelerate Bayesian optimization (BO) on a target task by transferring historical knowledge from related source tasks. Existing work on BO with knowledge transfer either lacks theoretical guarantees or achieves the same…

机器学习 · 统计学 2026-04-29 Haitao Lin , Boxin Zhao , Mladen Kolar , Chong Liu

Preferential Bayesian Optimization (PBO) is a sample-efficient method to learn latent user utilities from preferential feedback over a pair of designs. It relies on a statistical surrogate model for the latent function, usually a Gaussian…

机器学习 · 统计学 2025-03-04 Xinyu Zhang , Daolang Huang , Samuel Kaski , Julien Martinelli

This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Bayesian optimization (BO) is a sample-efficient method and has been widely used for optimizing expensive black-box functions. Recently, there has been a considerable interest in BO literature in optimizing functions that are affected by…

机器学习 · 计算机科学 2023-12-22 Xiaobin Huang , Lei Song , Ke Xue , Chao Qian

The escalating complexity of modern machine learning necessitates solving challenging non-convex optimization problems, particularly in high-dimensional regimes and scenarios contaminated by gross outliers. Traditional approaches, relying…

计算工程、金融与科学 · 计算机科学 2026-05-11 Kandula Eswara Sai Kumar , Parth Dhananjay Danve , Abhishek Chopra , Rut Lineswala