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We present a framework to build a multiobjective algorithm from single-objective ones. This framework addresses the $p \times n$-dimensional problem of finding p solutions in an n-dimensional search space, maximizing an indicator by dynamic…

最优化与控制 · 数学 2019-04-19 Cheikh Touré , Nikolaus Hansen , Anne Auger , Dimo Brockhoff

Hyperparameter optimization (HPO), formulated as black-box optimization (BBO), is recognized as essential for automation and high performance of machine learning approaches. The CMA-ES is a promising BBO approach with a high degree of…

机器学习 · 计算机科学 2020-12-15 Masahiro Nomura , Shuhei Watanabe , Youhei Akimoto , Yoshihiko Ozaki , Masaki Onishi

This study modifies the Covariance Matrix Adaptation Evolution Strategy (CMA-ES) algorithm for multi-modal optimization problems. The enhancements focus on addressing the challenges of multiple global minima, improving the algorithm's…

神经与进化计算 · 计算机科学 2024-07-02 Wathsala Karunarathne , Indu Bala , Dikshit Chauhan , Matthew Roughan , Lewis Mitchell

Bayesian Optimization (BO) is a class of black-box, surrogate-based heuristics that can efficiently optimize problems that are expensive to evaluate, and hence admit only small evaluation budgets. BO is particularly popular for solving…

机器学习 · 计算机科学 2024-06-25 Maria Laura Santoni , Elena Raponi , Renato De Leone , Carola Doerr

This study targets the mixed-integer black-box optimization (MI-BBO) problem where continuous and integer variables should be optimized simultaneously. The CMA-ES, our focus in this study, is a population-based stochastic search method that…

神经与进化计算 · 计算机科学 2024-01-12 Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

神经与进化计算 · 计算机科学 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

This study targets the mixed-integer black-box optimization (MI-BBO) problem where continuous and integer variables should be optimized simultaneously. The CMA-ES, our focus in this study, is a population-based stochastic search method that…

神经与进化计算 · 计算机科学 2023-01-13 Ryoki Hamano , Shota Saito , Masahiro Nomura , Shinichi Shirakawa

This paper introduces a high-performance hybrid algorithm, called Hybrid Hypervolume Maximization Algorithm (H2MA), for multi-objective optimization that alternates between exploring the decision space and exploiting the already obtained…

神经与进化计算 · 计算机科学 2015-06-18 Conrado Silva Miranda , Fernando José Von Zuben

This document details the rationales behind assessing the performance of numerical black-box optimizers on multi-objective problems within the COCO platform and in particular on the biobjective test suite bbob-biobj. The evaluation is based…

神经与进化计算 · 计算机科学 2016-05-09 Dimo Brockhoff , Tea Tušar , Dejan Tušar , Tobias Wagner , Nikolaus Hansen , Anne Auger

The covariance matrix adaptation evolution strategy (CMA-ES) is a powerful optimization method for continuous black-box optimization problems. Several noise-handling methods have been proposed to bring out the optimization performance of…

神经与进化计算 · 计算机科学 2024-05-21 Kento Uchida , Kenta Nishihara , Shinichi Shirakawa

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) is a popular method to deal with nonconvex and/or stochastic optimization problems when the gradient information is not available. Being based on the CMA-ES, the recently proposed…

神经与进化计算 · 计算机科学 2017-05-19 Ilya Loshchilov , Tobias Glasmachers , Hans-Georg Beyer

The covariance matrix adaptation evolution strategy (CMA-ES) is one of the most successful methods for solving continuous black-box optimization problems. A practically useful aspect of the CMA-ES is that it can be used without…

神经与进化计算 · 计算机科学 2024-09-30 Masahiro Nomura , Youhei Akimoto , Isao Ono

Bayesian Optimization (BO) is an effective method for finding the global optimum of expensive black-box functions. However, it is well known that applying BO to high-dimensional optimization problems is challenging. To address this issue, a…

机器学习 · 统计学 2024-02-06 Lam Ngo , Huong Ha , Jeffrey Chan , Vu Nguyen , Hongyu Zhang

Various variants of the well known Covariance Matrix Adaptation Evolution Strategy (CMA-ES) have been proposed recently, which improve the empirical performance of the original algorithm by structural modifications. However, in practice it…

神经与进化计算 · 计算机科学 2018-08-20 Sander van Rijn , Hao Wang , Matthijs van Leeuwen , Thomas Bäck

The selection of the most appropriate algorithm to solve a given problem instance, known as algorithm selection, is driven by the potential to capitalize on the complementary performance of different algorithms across sets of problem…

机器学习 · 计算机科学 2024-06-12 Gjorgjina Cenikj , Ana Nikolikj , Gašper Petelin , Niki van Stein , Carola Doerr , Tome Eftimov

We present a novel black box optimization algorithm called Hessian Estimation Evolution Strategy. The algorithm updates the covariance matrix of its sampling distribution by directly estimating the curvature of the objective function. This…

机器学习 · 计算机科学 2020-06-11 Tobias Glasmachers , Oswin Krause

When faced with a specific optimization problem, choosing which algorithm to use is always a tough task. Not only is there a vast variety of algorithms to select from, but these algorithms often are controlled by many hyperparameters, which…

神经与进化计算 · 计算机科学 2020-01-07 Diederick Vermetten , Hao Wang , Carola Doerr , Thomas Bäck

Bilevel optimization is a field of significant theoretical and practical interest, yet solving such optimization problems remains challenging. Evolutionary methods have been employed to address these problems in the black-box setting;…

神经与进化计算 · 计算机科学 2026-04-06 Marc Ong , Youhei Akimoto

This paper leverages the recently introduced concept of algorithm footprints to investigate the interplay between algorithm configurations and problem characteristics. Performance footprints are calculated for six modular variants of the…

神经与进化计算 · 计算机科学 2025-07-04 Ana Nikolikj , Mario Andrés Muñoz , Eva Tuba , Tome Eftimov

Hyperparameters of deep neural networks are often optimized by grid search, random search or Bayesian optimization. As an alternative, we propose to use the Covariance Matrix Adaptation Evolution Strategy (CMA-ES), which is known for its…

神经与进化计算 · 计算机科学 2016-04-26 Ilya Loshchilov , Frank Hutter
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