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We introduce BayeSQP, a novel algorithm for general black-box optimization that merges the structure of sequential quadratic programming with concepts from Bayesian optimization. BayeSQP employs second-order Gaussian process surrogates for…

机器学习 · 计算机科学 2026-02-04 Paul Brunzema , Sebastian Trimpe

Bayesian optimization (BO) is a powerful technology for optimizing noisy expensive-to-evaluate black-box functions, with a broad range of real-world applications in science, engineering, economics, manufacturing, and beyond. In this paper,…

机器学习 · 计算机科学 2024-01-30 Joel A. Paulson , Calvin Tsay

We consider derivative-free black-box global optimization of expensive noisy functions, when most of the randomness in the objective is produced by a few influential scalar random inputs. We present a new Bayesian global optimization…

机器学习 · 计算机科学 2016-02-23 Saul Toscano-Palmerin , Peter I. Frazier

This paper studies the challenging black-box adversarial attack that aims to generate adversarial examples against a black-box model by only using output feedback of the model to input queries. Some previous methods improve the query…

机器学习 · 计算机科学 2024-05-30 Shuyu Cheng , Yibo Miao , Yinpeng Dong , Xiao Yang , Xiao-Shan Gao , Jun Zhu

We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO). The algorithm alternates polynomial approximation with Bayesian optimization steps, using Gaussian processes to model the error…

最优化与控制 · 数学 2024-03-13 Janina Schreiber , Pau Batlle , Damar Wicaksono , Michael Hecht

Many control problems require repeated tuning and adaptation of controllers across distinct closed-loop tasks, where data efficiency and adaptability are critical. We propose a hierarchical Bayesian optimization (BO) framework that is…

系统与控制 · 电气工程与系统科学 2026-03-27 Sebastian Hirt , Lukas Theiner , Maik Pfefferkorn , Rolf Findeisen

Bayesian Optimization (BO) is a data-driven strategy for minimizing/maximizing black-box functions based on probabilistic surrogate models. In the presence of safety constraints, the performance of BO crucially relies on tight probabilistic…

机器学习 · 统计学 2025-04-15 Oleksii Molodchyk , Johannes Teutsch , Timm Faulwasser

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

人工智能 · 计算机科学 2019-02-06 Ruben Martinez-Cantin

Estimating the probability of failure is an important step in the certification of safety-critical systems. Efficient estimation methods are often needed due to the challenges posed by high-dimensional input spaces, risky test scenarios,…

机器学习 · 计算机科学 2024-07-02 Robert J. Moss , Mykel J. Kochenderfer , Maxime Gariel , Arthur Dubois

Global optimisation to optimise expensive-to-evaluate black-box functions without gradient information. Bayesian optimisation, one of the most well-known techniques, typically employs Gaussian processes as surrogate models, leveraging their…

机器学习 · 计算机科学 2026-03-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

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

The notion of expense in Bayesian optimisation generally refers to the uniformly expensive cost of function evaluations over the whole search space. However, in some scenarios, the cost of evaluation for black-box objective functions is…

机器学习 · 计算机科学 2019-09-10 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

We consider the problem of finding an input to a stochastic black box function such that the scalar output of the black box function is as close as possible to a target value in the sense of the expected squared error. While the…

机器学习 · 计算机科学 2023-05-16 Johannes G. Hoffer , Sascha Ranftl , Bernhard C. Geiger

An important task of uncertainty quantification is to identify {the probability of} undesired events, in particular, system failures, caused by various sources of uncertainties. In this work we consider the construction of Gaussian…

统计计算 · 统计学 2016-04-20 Hongqiao Wang , Guang Lin , Jinglai Li

At present, high-dimensional global optimization problems with time-series models have received much attention from engineering fields. Since it was proposed, Bayesian optimization has quickly become a popular and promising approach for…

机器学习 · 计算机科学 2021-08-06 Yuyang Chen , Kaiming Bi , Chih-Hang J. Wu , David Ben-Arieh , Ashesh Sinha

Active policy search combines the trial-and-error methodology from policy search with Bayesian optimization to actively find the optimal policy. First, policy search is a type of reinforcement learning which has become very popular for…

机器人学 · 计算机科学 2024-02-13 Ruben Martinez-Cantin

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box. The data may have some known structure (e.g. symmetries)…

机器学习 · 计算机科学 2022-12-08 Samuel Kim , Peter Y. Lu , Charlotte Loh , Jamie Smith , Jasper Snoek , Marin Soljačić

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

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.…

机器学习 · 统计学 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

We consider the multi armed bandit problem in non-stationary environments. Based on the Bayesian method, we propose a variant of Thompson Sampling which can be used in both rested and restless bandit scenarios. Applying discounting to the…

机器学习 · 统计学 2017-08-01 Vishnu Raj , Sheetal Kalyani