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Black-box optimization is often encountered for decision-making in complex systems management, where the knowledge of system is limited. Under these circumstances, it is essential to balance the utilization of new information with…

统计计算 · 统计学 2025-01-15 Teng Lian , Jian-Qiang Hu , Yuhang Wu , Zeyu Zheng

Parallel black box optimization consists in estimating the optimum of a function using $\lambda$ parallel evaluations of $f$. Averaging the $\mu$ best individuals among the $\lambda$ evaluations is known to provide better estimates of the…

最优化与控制 · 数学 2021-08-11 Laurent Meunier , Iskander Legheraba , Yann Chevaleyre , Olivier Teytaud

To gain a better theoretical understanding of how evolutionary algorithms (EAs) cope with plateaus of constant fitness, we propose the $n$-dimensional Plateau$_k$ function as natural benchmark and analyze how different variants of the $(1 +…

神经与进化计算 · 计算机科学 2021-11-02 Denis Antipov , Benjamin Doerr

We study the problem of black-box optimization of a function f of any dimension, given function evaluations perturbed by noise. The function is assumed to be locally smooth around one of its global optima, but this smoothness is unknown.…

机器学习 · 统计学 2026-05-05 Jean-Bastien Grill , Michal Valko , Rémi Munos

We consider black box optimization of an unknown function in the nonparametric Gaussian process setting when the noise in the observed function values can be heavy tailed. This is in contrast to existing literature that typically assumes…

机器学习 · 计算机科学 2019-09-17 Sayak Ray Chowdhury , Aditya Gopalan

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…

机器学习 · 计算机科学 2019-02-01 Anirudh Vemula , Wen Sun , J. Andrew Bagnell

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…

计算物理 · 物理学 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

We study the computation complexity of Boolean functions in the quantum black box model. In this model our task is to compute a function $f:\{0,1\}\to\{0,1\}$ on an input $x\in\{0,1\}^n$ that can be accessed by querying the black box.…

量子物理 · 物理学 2017-01-25 Andris Ambainis , Janis Iraids

Algorithm evaluation and comparison are fundamental questions in machine learning and statistics -- how well does an algorithm perform at a given modeling task, and which algorithm performs best? Many methods have been developed to assess…

统计理论 · 数学 2025-11-25 Yuetian Luo , Rina Foygel Barber

Choosing a suitable algorithm from the myriads of different search heuristics is difficult when faced with a novel optimization problem. In this work, we argue that the purely academic question of what could be the best possible algorithm…

神经与进化计算 · 计算机科学 2023-12-07 Shouda Wang , Weijie Zheng , Benjamin Doerr

Research on new optimization algorithms is often funded based on the motivation that such algorithms might improve the capabilities to deal with real-world and industrially relevant optimization challenges. Besides a huge variety of…

神经与进化计算 · 计算机科学 2020-07-02 Ramses Sala , Ralf Müller

While most theoretical run time analyses of discrete randomized search heuristics focused on finite search spaces, we consider the search space $\mathbb{Z}^n$. This is a further generalization of the search space of multi-valued decision…

神经与进化计算 · 计算机科学 2023-10-10 Jonathan Gadea Harder , Timo Kötzing , Xiaoyue Li , Aishwarya Radhakrishnan

We consider learning to optimize a classification metric defined by a black-box function of the confusion matrix. Such black-box learning settings are ubiquitous, for example, when the learner only has query access to the metric of…

Packing is a classical problem where one is given a set of subsets of Euclidean space called objects, and the goal is to find a maximum size subset of objects that are pairwise non-intersecting. The problem is also known as the Independent…

计算几何 · 计算机科学 2019-09-27 Sándor Kisfaludi-Bak , Dániel Marx , Tom C. van der Zanden

This work studies the quantum query complexity of Boolean functions in a scenario where it is only required that the query algorithm succeeds with a probability strictly greater than 1/2. We show that, just as in the communication…

量子物理 · 物理学 2016-05-25 Ashley Montanaro , Harumichi Nishimura , Rudy Raymond

Despite significant empirical and theoretically supported evidence that non-static parameter choices can be strongly beneficial in evolutionary computation, the question how to best adjust parameter values plays only a marginal role in…

神经与进化计算 · 计算机科学 2018-03-06 Carola Doerr , Markus Wagner

We consider the problem of black-box function optimization over the boolean hypercube. Despite the vast literature on black-box function optimization over continuous domains, not much attention has been paid to learning models for…

Single-objective black box optimization (also known as zeroth-order optimization) is the process of minimizing a scalar objective $f(x)$, given evaluations at adaptively chosen inputs $x$. In this paper, we consider multi-objective…

机器学习 · 计算机科学 2020-06-11 Daniel Golovin , Qiuyi Zhang

A common problem, arising in many different applied contexts, consists in estimating the number of exponentially damped sinusoids whose weighted sum best fits a finite set of noisy data and in estimating their parameters. Many different…

统计计算 · 统计学 2012-09-28 Piero Barone

Modelling human function learning has been the subject of in-tense research in cognitive sciences. The topic is relevant in black-box optimization where information about the objective and/or constraints is not available and must be learned…

计算机与社会 · 计算机科学 2020-03-10 Antonio Candelieri , Riccardo Perego , Ilaria Giordani , Andrea Ponti , Francesco Archetti