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Unconstrained optimization problems are typically solved using iterative methods, which often depend on line search techniques to determine optimal step lengths in each iteration. This paper introduces a novel line search approach.…

最优化与控制 · 数学 2024-05-20 Sören Laue , Tomislav Prusina

Quality Diversity (QD) algorithms such as MAP-Elites are a class of optimisation techniques that attempt to find a set of high-performing points from an objective function while enforcing behavioural diversity of the points over one or more…

最优化与控制 · 数学 2020-05-12 Paul Kent , Juergen Branke

We consider two active binary-classification problems with atypical objectives. In the first, active search, our goal is to actively uncover as many members of a given class as possible. In the second, active surveying, our goal is to…

机器学习 · 计算机科学 2016-11-11 Roman Garnett , Yamuna Krishnamurthy , Xuehan Xiong , Jeff Schneider , Richard Mann

We consider a social planner faced with a stream of myopic selfish agents. The goal of the social planner is to maximize the social welfare, however, it is limited to using only information asymmetry (regarding previous outcomes) and cannot…

计算机科学与博弈论 · 计算机科学 2019-05-15 Lee Cohen , Yishay Mansour

This paper considers Bayesian optimization (BO) for problems with known outer problem structure. In contrast to the classic BO setting, where the objective function itself is unknown and needs to be iteratively estimated from noisy…

最优化与控制 · 数学 2025-03-19 Katrin Baumgärtner , Moritz Diehl

Sample-efficient exploration is crucial not only for discovering rewarding experiences but also for adapting to environment changes in a task-agnostic fashion. A principled treatment of the problem of optimal input synthesis for system…

机器学习 · 计算机科学 2019-10-10 Matthias Schultheis , Boris Belousov , Hany Abdulsamad , Jan Peters

Efficient robotic exploration of unknown, sensor limited, global-information-deficient environments poses unique challenges to path planning algorithms. In these difficult environments, no deterministic guarantees on path completion and…

机器人学 · 计算机科学 2017-05-01 Alexander Ivanov , Mark Campbell

The key idea of Bayesian optimization is replacing an expensive target function with a cheap surrogate model. By selection of an acquisition function for Bayesian optimization, we trade off between exploration and exploitation. The…

机器学习 · 统计学 2019-02-20 Leonid Matyushin , Alexey Zaytsev , Oleg Alenkin , Andrey Ustuzhanin

Inference in the presence of outliers is an important field of research as outliers are ubiquitous and may arise across a variety of problems and domains. Bayesian optimization is method that heavily relies on probabilistic inference. This…

机器学习 · 计算机科学 2017-12-14 Ruben Martinez-Cantin , Kevin Tee , Michael McCourt

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 optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

机器学习 · 计算机科学 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

Bayesian optimization provides an effective method to optimize expensive-to-evaluate black box functions. It has been widely applied to problems in many fields, including notably in computer science, e.g. in machine learning to optimize…

机器学习 · 计算机科学 2025-11-18 Mike Diessner , Joseph O'Connor , Andrew Wynn , Sylvain Laizet , Yu Guan , Kevin Wilson , Richard D. Whalley

Bayesian optimization is a popular formalism for global optimization, but its computational costs limit it to expensive-to-evaluate functions. A competing, computationally more efficient, global optimization framework is optimistic…

机器学习 · 计算机科学 2022-09-05 Julia Grosse , Cheng Zhang , Philipp Hennig

Reinforcement learning (RL) aims to find an optimal policy by interaction with an environment. Consequently, learning complex behavior requires a vast number of samples, which can be prohibitive in practice. Nevertheless, instead of…

机器学习 · 计算机科学 2021-11-23 Sarah Müller , Alexander von Rohr , Sebastian Trimpe

Reinforcement learning in sparse-reward navigation environments with expensive and limited interactions is challenging and poses a need for effective exploration. Motivated by complex navigation tasks that require real-world training (when…

最优化与控制 · 数学 2023-10-13 Yijia Wang , Matthias Poloczek , Daniel R. Jiang

Bayesian optimization is a technique for efficiently optimizing unknown functions in a black-box manner. To handle practical settings where gathering data requires use of finite resources, it is desirable to explicitly incorporate function…

机器学习 · 计算机科学 2025-01-17 Qian Xie , Raul Astudillo , Peter I. Frazier , Ziv Scully , Alexander Terenin

Bayesian optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

系统与控制 · 计算机科学 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

We study the design of Bayesian incentive compatible mechanisms in single parameter domains, for the objective of optimizing social efficiency as measured by social cost. In the problems we consider, a group of participants compete to…

计算机科学与博弈论 · 计算机科学 2013-05-06 Hu Fu , Brendan Lucier , Balasubramanian Sivan , Vasilis Syrgkanis

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

This study presents an effective global optimization technique designed for multivariate functions that are H\"older continuous. Unlike traditional methods that construct lower bounding proxy functions, this algorithm employs a…

机器学习 · 计算机科学 2023-03-28 Kaan Gokcesu , Hakan Gokcesu