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There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

In this paper we introduce Sampling with a Black Box, a generic technique for the design of parameterized approximation algorithms for vertex deletion problems (e.g., Vertex Cover, Feedback Vertex Set, etc.). The technique relies on two…

Data Structures and Algorithms · Computer Science 2024-07-18 Barış Can Esmer , Ariel Kulik

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

Black-box optimization algorithms have been widely used in various machine learning problems, including reinforcement learning and prompt fine-tuning. However, directly optimizing the training loss value, as commonly done in existing…

Machine Learning · Computer Science 2024-10-17 Feiyang Ye , Yueming Lyu , Xuehao Wang , Masashi Sugiyama , Yu Zhang , Ivor Tsang

This paper addresses the problem of safe optimization under a single smooth constraint, a scenario that arises in diverse real-world applications such as robotics and autonomous navigation. The objective of safe optimization is to solve a…

Optimization and Control · Mathematics 2025-05-15 Ilnura Usmanova , Kfir Yehuda Levy

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

Neural and Evolutionary Computing · Computer Science 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

Bayesian optimization (BO) is a framework for global optimization of expensive-to-evaluate objective functions. Classical BO methods assume that the objective function is a black box. However, internal information about objective function…

Machine Learning · Computer Science 2022-01-04 Raul Astudillo , Peter I. Frazier

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

Machine Learning · Computer Science 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

In discrete-variable black-box optimization, the number of candidate solutions grows combinatorially, while each evaluation is often expensive. Therefore, it is important to identify promising solutions efficiently within a limited number…

Quantum Physics · Physics 2026-05-12 Reo Shikanai , Masayuki Ohzeki

Large language models (LLMs) have demonstrated exceptional performance not only in natural language processing tasks but also in a great variety of non-linguistic domains. In diverse optimization scenarios, there is also a rising trend of…

Neural and Evolutionary Computing · Computer Science 2024-07-09 Beichen Huang , Xingyu Wu , Yu Zhou , Jibin Wu , Liang Feng , Ran Cheng , Kay Chen Tan

In this paper, we make the key delineation on the roles of resolution and statistical uncertainty in hierarchical bandits-based black-box optimization algorithms, guiding a more general analysis and a more efficient algorithm design. We…

Machine Learning · Statistics 2023-06-01 Wenjie Li , Chi-Hua Wang , Guang Cheng , Qifan Song

Several scenarios require the optimization of non-convex black-box functions, that are noisy expensive to evaluate functions with unknown analytical expression, whose gradients are hence not accessible. For example, the hyper-parameter…

Machine Learning · Computer Science 2025-02-12 Eduardo C. Garrido-Merchán

Black-box optimizers that explore in parameter space have often been shown to outperform more sophisticated action space exploration methods developed specifically for the reinforcement learning problem. We examine these black-box methods…

Machine Learning · Computer Science 2019-02-01 Anirudh Vemula , Wen Sun , J. Andrew Bagnell

We propose a practical Bayesian optimization method over sets, to minimize a black-box function that takes a set as a single input. Because set inputs are permutation-invariant, traditional Gaussian process-based Bayesian optimization…

Machine Learning · Statistics 2021-01-26 Jungtaek Kim , Michael McCourt , Tackgeun You , Saehoon Kim , Seungjin Choi

In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental…

Robotics · Computer Science 2020-07-31 Maxime Petit , Emmanuel Dellandrea , Liming Chen

We study black-box reductions from mechanism design to algorithm design for welfare maximization in settings of incomplete information. Given oracle access to an algorithm for an underlying optimization problem, the goal is to simulate an…

Computer Science and Game Theory · Computer Science 2019-06-27 Evangelia Gergatsouli , Brendan Lucier , Christos Tzamos

A wide spectrum of design and decision problems, including parameter tuning, A/B testing and drug design, intrinsically are instances of black-box optimization. Bayesian optimization (BO) is a powerful tool that models and optimizes such…

Machine Learning · Computer Science 2023-02-14 Tianyi Bai , Yang Li , Yu Shen , Xinyi Zhang , Wentao Zhang , Bin Cui

Modern machine learning algorithms usually involve tuning multiple (from one to thousands) hyperparameters which play a pivotal role in terms of model generalizability. Black-box optimization and gradient-based algorithms are two dominant…

Machine Learning · Computer Science 2021-02-19 Bin Gu , Guodong Liu , Yanfu Zhang , Xiang Geng , Heng Huang

Global optimization of expensive, derivative-free black-box functions requires extreme sample efficiency. While Bayesian optimization (BO) is the current state-of-the-art, its performance hinges on surrogate and acquisition function…