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This work introduces StoMADS, a stochastic variant of the mesh adaptive direct-search (MADS) algorithm originally developed for deterministic blackbox optimization. StoMADS considers the unconstrained optimization of an objective function f…

Optimization and Control · Mathematics 2019-11-05 Charles Audet , Kwassi Joseph Dzahini , Michael Kokkolaras , Sébastien Le Digabel

Traditionally, adaptive filters have been deployed to achieve AEC by estimating the acoustic echo response using algorithms such as the Normalized Least-Mean-Square (NLMS) algorithm. Several approaches have been proposed over recent years…

Sound · Computer Science 2022-01-19 Urmila Shrawankar

Many optimization tasks have to be handled in noisy environments, where we cannot obtain the exact evaluation of a solution but only a noisy one. For noisy optimization tasks, evolutionary algorithms (EAs), a kind of stochastic…

Artificial Intelligence · Computer Science 2013-11-21 Chao Qian , Yang Yu , Zhi-Hua Zhou

Evolution Strategies such as CMA-ES (covariance matrix adaptation evolution strategy) and NES (natural evolution strategy) have been widely used in machine learning applications, where an objective function is optimized without using its…

Optimization and Control · Mathematics 2019-10-28 Haishan Ye , Tong Zhang

The Exponential Moving Average (EMA) is a cornerstone of widely used optimizers such as Adam. However, existing theoretical analyses of Adam-style methods have notable limitations: their guarantees can remain suboptimal in the zero-noise…

Machine Learning · Computer Science 2026-04-17 Ganzhao Yuan

Several practical applications of evolutionary computation possess objective functions that receive the design variables and externally given parameters. Such problems are termed contextual optimization problems. These problems require…

Neural and Evolutionary Computing · Computer Science 2025-02-19 Yuta Sekino , Kento Uchida , Shinichi Shirakawa

Alignment of Large Language Models (LLMs) typically relies on Reinforcement Learning from Human Feedback (RLHF) with gradient-based optimizers such as Proximal Policy Optimization (PPO) or Group Relative Policy Optimization (GRPO). While…

The CSA-ES is an Evolution Strategy with Cumulative Step size Adaptation, where the step size is adapted measuring the length of a so-called cumulative path. The cumulative path is a combination of the previous steps realized by the…

Machine Learning · Computer Science 2013-02-19 Alexandre Chotard , Anne Auger , Nikolaus Hansen

Evolutionary algorithms (EAs) are a sort of nature-inspired metaheuristics, which have wide applications in various practical optimization problems. In these problems, objective evaluations are usually inaccurate, because noise is almost…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Bian , Chao Qian , Yang Yu , Ke Tang

Black-box optimization is a very active area of research, with many new algorithms being developed every year. This variety is needed, on the one hand, since different algorithms are most suitable for different types of optimization…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Anja Jankovic , Tome Eftimov , Carola Doerr

Proximal Policy Optimization (PPO) is a highly popular model-free reinforcement learning (RL) approach. However, we observe that in a continuous action space, PPO can prematurely shrink the exploration variance, which leads to slow progress…

Machine Learning · Computer Science 2020-11-04 Perttu Hämäläinen , Amin Babadi , Xiaoxiao Ma , Jaakko Lehtinen

Many state-of-the-art automated machine learning (AutoML) systems use greedy ensemble selection (GES) by Caruana et al. (2004) to ensemble models found during model selection post hoc. Thereby, boosting predictive performance and likely…

Machine Learning · Computer Science 2023-07-04 Lennart Purucker , Joeran Beel

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

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…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Diederick Vermetten , Hao Wang , Carola Doerr , Thomas Bäck

In this paper, we introduce the quantum adaptive distribution search (QuADS), a quantum continuous optimization algorithm that integrates Grover adaptive search (GAS) with the covariance matrix adaptation - evolution strategy (CMA-ES), a…

Quantum Physics · Physics 2024-07-08 Kohei Morimoto , Yusuke Takase , Kosuke Mitarai , Keisuke Fujii

The Covariance Matrix Adaptation Evolution Strategy (CMA-ES) has been the most successful Evolution Strategy at exploiting covariance information; it uses a form of Principle Component Analysis which, under certain conditions, is suggested…

Neural and Evolutionary Computing · Computer Science 2011-12-20 Ofer M. Shir , Jonathan Roslund , Darrell Whitley , Herschel Rabitz

We propose a multi-objective optimization algorithm aimed at achieving good anytime performance over a wide range of problems. Performance is assessed in terms of the hypervolume metric. The algorithm called HMO-CMA-ES represents a hybrid…

Neural and Evolutionary Computing · Computer Science 2016-05-10 Ilya Loshchilov , Tobias Glasmachers

Evolutionary algorithms (EAs) are a kind of nature-inspired general-purpose optimization algorithm, and have shown empirically good performance in solving various real-word optimization problems. During the past two decades, promising…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian , Yang Yu , Ke Tang , Xin Yao , Zhi-Hua Zhou

A theoretical performance analysis of the $(\mu/\mu_I,\lambda)$-$\sigma$-Self-Adaptation Evolution Strategy ($\sigma$SA-ES) is presented considering a conically constrained problem. Infeasible offspring are repaired using projection onto…

Neural and Evolutionary Computing · Computer Science 2018-12-18 Patrick Spettel , Hans-Georg Beyer

The CSA-ES is an Evolution Strategy with Cumulative Step size Adaptation, where the step size is adapted measuring the length of a so-called cumulative path. The cumulative path is a combination of the previous steps realized by the…

Machine Learning · Computer Science 2012-07-02 Alexandre Adrien Chotard , Anne Auger , Nikolaus Hansen
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