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The Gaussian process bandit is a problem in which we want to find a maximizer of a black-box function with the minimum number of function evaluations. If the black-box function varies with time, then time-varying Bayesian optimization is a…

We study black-box vector optimization with Gaussian process bandits, where there is an incomplete order relation on objective vectors described by a polyhedral convex cone. Existing black-box vector optimization approaches either suffer…

机器学习 · 计算机科学 2026-03-20 İlter Onat Korkmaz , Yaşar Cahit Yıldırım , Çağın Ararat , Cem Tekin

Gaussian process (GP) based Bayesian optimization (BO) is a powerful method for optimizing black-box functions efficiently. The practical performance and theoretical guarantees of this approach depend on having the correct GP hyperparameter…

机器学习 · 统计学 2024-06-07 Huong Ha , Vu Nguyen , Hung Tran-The , Hongyu Zhang , Xiuzhen Zhang , Anton van den Hengel

We introduce the thermodynamic variational objective (TVO) for learning in both continuous and discrete deep generative models. The TVO arises from a key connection between variational inference and thermodynamic integration that results in…

机器学习 · 计算机科学 2021-04-09 Vaden Masrani , Tuan Anh Le , Frank Wood

We study a time-varying Bayesian optimization problem with bandit feedback, where the reward function belongs to a Reproducing Kernel Hilbert Space (RKHS). We approach the problem via an upper-confidence bound Gaussian Process algorithm,…

最优化与控制 · 数学 2025-10-27 Eliabelle Mauduit , Eloïse Berthier , Andrea Simonetto

Gaussian Processes are used in many applications to model spatial phenomena. Within this context, a key issue is to decide the set of locations where to take measurements so as to obtain a better approximation of the underlying function.…

新兴技术 · 计算机科学 2019-01-31 Lorenzo Bottarelli , Alessandro Farinelli

Ensuring safety is a key aspect in sequential decision making problems, such as robotics or process control. The complexity of the underlying systems often makes finding the optimal decision challenging, especially when the safety-critical…

机器学习 · 计算机科学 2024-09-27 Jialin Li , Marta Zagorowska , Giulia De Pasquale , Alisa Rupenyan , John Lygeros

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

Gaussian Process bandit optimization has emerged as a powerful tool for optimizing noisy black box functions. One example in machine learning is hyper-parameter optimization where each evaluation of the target function requires training a…

机器学习 · 计算机科学 2016-11-15 Tarun Kathuria , Amit Deshpande , Pushmeet Kohli

Bayesian optimization is a framework for global search via maximum a posteriori updates rather than simulated annealing, and has gained prominence for decision-making under uncertainty. In this work, we cast Bayesian optimization as a…

机器学习 · 计算机科学 2022-03-24 Amrit Singh Bedi , Dheeraj Peddireddy , Vaneet Aggarwal , Brian M. Sadler , Alec Koppel

In this paper, the problem of maximizing a black-box function $f:\mathcal{X} \to \mathbb{R}$ is studied in the Bayesian framework with a Gaussian Process (GP) prior. In particular, a new algorithm for this problem is proposed, and high…

机器学习 · 统计学 2018-01-09 Shubhanshu Shekhar , Tara Javidi

Variational inference methods for latent variable statistical models have gained popularity because they are relatively fast, can handle large data sets, and have deterministic convergence guarantees. However, in practice it is unclear…

统计方法学 · 统计学 2017-03-22 Hachem Saddiki , Andrew C. Trapp , Patrick Flaherty

Weakly supervised temporal video grounding aims to localize query-relevant segments in untrimmed videos using only video-sentence pairs, without requiring ground-truth segment annotations that specify exact temporal boundaries. Recent…

计算机视觉与模式识别 · 计算机科学 2026-02-05 Sunoh Kim , Kimin Yun , Daeho Um

Bayesian Optimization (BO) methods are useful for optimizing functions that are expen- sive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

机器学习 · 统计学 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

The widespread proliferation of data-driven decision-making has ushered in a recent interest in the design of privacy-preserving algorithms. In this paper, we consider the ubiquitous problem of gaussian process (GP) bandit optimization from…

机器学习 · 统计学 2021-02-25 Abhimanyu Dubey

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

In this paper, we introduce and analyze a variant of the Thompson sampling (TS) algorithm for contextual bandits. At each round, traditional TS requires samples from the current posterior distribution, which is usually intractable. To…

机器学习 · 统计学 2024-07-23 Pierre Clavier , Tom Huix , Alain Durmus

Bayesian optimization (BO) methods are useful for optimizing functions that are expensive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the…

机器学习 · 统计学 2020-02-04 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Recently, there has been rising interest in Bayesian optimization -- the optimization of an unknown function with assumptions usually expressed by a Gaussian Process (GP) prior. We study an optimization strategy that directly uses an…

机器学习 · 统计学 2018-08-14 Zi Wang , Bolei Zhou , Stefanie Jegelka

Time-Varying Bayesian Optimization (TVBO) is the go-to framework for optimizing a time-varying, expensive, noisy black-box function $f$. However, most of the asymptotic guarantees offered by TVBO algorithms rely on the assumption that…

机器学习 · 统计学 2025-10-21 Anthony Bardou , Patrick Thiran
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