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In this work, we propose a new variant of natural evolution strategies (NES) for high-dimensional black-box optimization problems. The proposed method, CR-FM-NES, extends a recently proposed state-of-the-art NES, Fast Moving Natural…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Masahiro Nomura , Isao Ono

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Hyperparameter optimization is a crucial problem in Evolutionary Computation. In fact, the values of the hyperparameters directly impact the trajectory taken by the optimization process, and their choice requires extensive reasoning by…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Leonardo Lucio Custode , Fabio Caraffini , Anil Yaman , Giovanni Iacca

Multi-objective evolutionary algorithms (MOEAs) are widely used to solve multi-objective optimization problems. The algorithms rely on setting appropriate parameters to find good solutions. However, this parameter tuning could be very…

Neural and Evolutionary Computing · Computer Science 2022-11-18 Remco Coppens , Robbert Reijnen , Yingqian Zhang , Laurens Bliek , Berend Steenhuisen

This paper investigates the control of an ML component within the Covariance Matrix Adaptation Evolution Strategy (CMA-ES) devoted to black-box optimization. The known CMA-ES weakness is its sample complexity, the number of evaluations of…

Machine Learning · Computer Science 2013-08-20 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag

Evolution strategies (ES), as a family of black-box optimization algorithms, recently emerge as a scalable alternative to reinforcement learning (RL) approaches such as Q-learning or policy gradient, and are much faster when many central…

Machine Learning · Computer Science 2022-04-01 Zhi Wang , Chunlin Chen , Daoyi Dong

Large Language Models (LLMs) have demonstrated remarkable reasoning abilities, prompting interest in their application as black-box optimizers. This paper asserts that LLMs possess the capability for zero-shot optimization across diverse…

Evolution strategies (ESs) are zeroth-order stochastic black-box optimization heuristics invariant to monotonic transformations of the objective function. They evolve a multivariate normal distribution, from which candidate solutions are…

Numerical Analysis · Mathematics 2022-02-09 Youhei Akimoto , Anne Auger , Tobias Glasmachers , Daiki Morinaga

An algorithm is proposed to solve robust control problems constrained by partial differential equations with uncertain coefficients, based on the so-called MG/OPT framework. The levels in this MG/OPT hierarchy correspond to discretization…

Numerical Analysis · Mathematics 2021-07-21 Andreas Van Barel , Stefan Vandewalle

We examine a multi-stage stochastic optimization problem characterized by stagewise-independent, decision-dependent noises with strict constraints. The problem assumes convexity in that, following a specific relaxation, it transforms into a…

Optimization and Control · Mathematics 2023-08-28 Chen Yan , Alexandre Reiffers-Masson

By combining Genetic Programming, MAP-Elites and Covariance Matrix Adaptation Evolution Strategy, we demonstrate very high success rates in Symbolic Regression problems. MAP-Elites is used to improve exploration while preserving diversity…

Neural and Evolutionary Computing · Computer Science 2019-06-11 J. -P. Bruneton , L. Cazenille , A. Douin , V. Reverdy

Classifiers are often utilized in time-constrained settings where labels must be assigned to inputs quickly. To address these scenarios, budgeted multi-stage classifiers (MSC) process inputs through a sequence of partial feature acquisition…

Neural and Evolutionary Computing · Computer Science 2021-12-06 Nolan H. Hamilton , Errin W. Fulp

In this paper, we present a multilevel Monte Carlo (MLMC) version of the Stochastic Gradient (SG) method for optimization under uncertainty, in order to tackle Optimal Control Problems (OCP) where the constraints are described in the form…

Optimization and Control · Mathematics 2019-12-30 Matthieu Martin , Fabio Nobile , Panagiotis Tsilifis

The Variation Evolving Method (VEM) that originates from the continuous-time dynamics stability theory seeks the optimal solutions with variation evolution principle. After establishing the first and the second evolution equations within…

Systems and Control · Computer Science 2025-01-28 Sheng Zhang , Fei Liao , Kai-Feng He

Multi-objective optimization is a common problem in practical applications, and multi-objective evolutionary algorithm (MOEA) is considered as one of the effective methods to solve these problems. However, their randomness sometimes…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Wanyi Liu , Long Chen , Zhenzhou Tang

In supply chain management, decision-making often involves balancing multiple conflicting objectives, such as cost reduction, service level improvement, and environmental sustainability. Traditional multi-objective optimization methods,…

Artificial Intelligence · Computer Science 2025-09-09 Niki Kotecha , Ehecatl Antonio del Rio Chanona

Evolutionary algorithms have been successful in solving multi-objective optimization problems (MOPs). However, as a class of population-based search methodology, evolutionary algorithms require a large number of evaluations of the objective…

Neural and Evolutionary Computing · Computer Science 2024-08-16 Xueming Yan , Yaochu Jin

One of the most important lessons from the success of deep learning is that learned representations tend to perform much better at any task compared to representations we design by hand. Yet evolution of evolvability algorithms, which aim…

Neural and Evolutionary Computing · Computer Science 2021-07-21 Adam Katona , Daniel W. Franks , James Alfred Walker

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

Neural and Evolutionary Computing · Computer Science 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

In this paper, we consider the implementation of multi-level Monte Carlo method to a stochastic optimal control problem with log-normal coefficients and its surrogate model problem. From the perspective of two optimization problems, i.e.,…

Optimization and Control · Mathematics 2016-01-19 Qi Sun , Ju Ming
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