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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

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

统计方法学 · 统计学 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

We consider the problem of decision-making under uncertainty in an environment with safety constraints. Many business and industrial applications rely on real-time optimization to improve key performance indicators. In the case of unknown…

机器学习 · 计算机科学 2023-01-31 Buse Sibel Korkmaz , Marta Zagórowska , Mehmet Mercangöz

We focus on collaborative and federated black-box optimization (BBOpt), where agents optimize their heterogeneous black-box functions through collaborative sequential experimentation. From a Bayesian optimization perspective, we address the…

机器学习 · 计算机科学 2025-08-25 Raed Al Kontar

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

机器学习 · 计算机科学 2026-05-12 Leonard Papenmeier , Petru Tighineanu

Bilevel optimization is a key framework in hierarchical decision-making, where one problem is embedded within the constraints of another. In this work, we propose a control-theoretic approach to solving bilevel optimization problems. Our…

最优化与控制 · 数学 2025-03-25 Sina Sharifi , Nazanin Abolfazli , Erfan Yazdandoost Hamedani , Mahyar Fazlyab

Domain experts often possess valuable physical insights that are overlooked in fully automated decision-making processes such as Bayesian optimisation. In this article we apply high-throughput (batch) Bayesian optimisation alongside…

机器学习 · 计算机科学 2023-12-06 Tom Savage , Ehecatl Antonio del Rio Chanona

Mobile networks require safe optimization to adapt to changing conditions in traffic demand and signal transmission quality, in addition to improving service performance metrics. With the increasing complexity of emerging mobile networks,…

系统与控制 · 电气工程与系统科学 2026-02-19 Alina Castell Blasco , Maxime Bouton

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

Physical simulation-based optimization is a common task in science and engineering. Many such simulations produce image- or tensor-based outputs where the desired objective is a function of those outputs, and optimization is performed over…

机器学习 · 计算机科学 2021-12-01 Wesley Maddox , Qing Feng , Max Balandat

We consider Bayesian optimization of objective functions of the form $\rho[ F(x, W) ]$, where $F$ is a black-box expensive-to-evaluate function and $\rho$ denotes either the VaR or CVaR risk measure, computed with respect to the randomness…

机器学习 · 统计学 2020-11-05 Sait Cakmak , Raul Astudillo , Peter Frazier , Enlu Zhou

Gaussian processes are the model of choice in Bayesian optimization and active learning. Yet, they are highly dependent on cleverly chosen hyperparameters to reach their full potential, and little effort is devoted to finding good…

机器学习 · 计算机科学 2024-02-16 Carl Hvarfner , Erik Hellsten , Frank Hutter , Luigi Nardi

Computer experiments can emulate the physical systems, help computational investigations, and yield analytic solutions. They have been widely employed with many engineering applications (e.g., aerospace, automotive, energy systems.…

统计方法学 · 统计学 2022-08-23 Yan Wang , Meng Wang , Areej AlBahar , Xiaowei Yue

This paper studies the problem of globally optimizing a variable of interest that is part of a causal model in which a sequence of interventions can be performed. This problem arises in biology, operational research, communications and,…

机器学习 · 统计学 2020-05-27 Virginia Aglietti , Xiaoyu Lu , Andrei Paleyes , Javier González

We provide a method to solve optimization problem when objective function is a complex stochastic simulator of an urban transportation system. To reach this goal, a Bayesian optimization framework is introduced. We show how the choice of…

统计计算 · 统计学 2019-01-15 Laura Schultz , Vadim Sokolov

Application domains of Bayesian optimization include optimizing black-box functions or very complex functions. The functions we are interested in describe complex real-world systems applied in industrial settings. Even though they do have…

机器学习 · 计算机科学 2021-06-14 Franz Brauße , Zurab Khasidashvili , Konstantin Korovin

We propose a Bayesian optimization algorithm for objective functions that are sums or integrals of expensive-to-evaluate functions, allowing noisy evaluations. These objective functions arise in multi-task Bayesian optimization for tuning…

机器学习 · 计算机科学 2018-03-26 Saul Toscano-Palmerin , Peter I. Frazier

Optimal design of experiments for Bayesian inverse problems has recently gained wide popularity and attracted much attention, especially in the computational science and Bayesian inversion communities. An optimal design maximizes a…

最优化与控制 · 数学 2023-05-09 Ahmed Attia , Sven Leyffer , Todd Munson

This paper presents an automated, model-free, data-driven method for the safe tuning of PID cascade controller gains based on Bayesian optimization. The optimization objective is composed of data-driven performance metrics and modeled using…

系统与控制 · 电气工程与系统科学 2021-08-12 Christopher König , Mohammad Khosravi , Markus Maier , Roy S. Smith , Alisa Rupenyan , John Lygeros

Applying Bayesian optimization in problems wherein the search space is unknown is challenging. To address this problem, we propose a systematic volume expansion strategy for the Bayesian optimization. We devise a strategy to guarantee that…

机器学习 · 统计学 2019-10-30 Huong Ha , Santu Rana , Sunil Gupta , Thanh Nguyen , Hung Tran-The , Svetha Venkatesh