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Contextual policy search (CPS) is a class of multi-task reinforcement learning algorithms that is particularly useful for robotic applications. A recent state-of-the-art method is Contextual Covariance Matrix Adaptation Evolution Strategies…

Machine Learning · Computer Science 2019-04-16 Alexander Fabisch

In this paper, we propose an efficient approximated rank one update for covariance matrix adaptation evolution strategy (CMA-ES). It makes use of two evolution paths as simple as that of CMA-ES, while avoiding the computational matrix…

Neural and Evolutionary Computing · Computer Science 2017-10-24 Zhenhua Li , Qingfu Zhang

The Increasing Population Covariance Matrix Adaptation Evolution Strategy (IPOP-CMA-ES) algorithm is a reference stochastic optimizer dedicated to blackbox optimization, where no prior knowledge about the underlying problem structure is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-02 David Redon , Pierre Fortin , Bilel Derbel , Miwako Tsuji , Mitsuhisa Sato

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 algorithms are sensitive to the mutation rate (MR); no single value of this parameter works well across domains. Self-adaptive MR approaches have been proposed but they tend to be brittle: Sometimes they decay the MR to zero,…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Akarsh Kumar , Bo Liu , Risto Miikkulainen , Peter Stone

Despite the state-of-the-art performance of the covariance matrix adaptation evolution strategy (CMA-ES), high-dimensional black-box optimization problems are challenging tasks. Such problems often involve a property called low effective…

Neural and Evolutionary Computing · Computer Science 2024-12-03 Kento Uchida , Teppei Yamaguchi , Shinichi Shirakawa

This paper introduces a novel theoretically sound approach for the celebrated CMA-ES algorithm. Assuming the parameters of the multi variate normal distribution for the minimum follow a conjugate prior distribution, we derive their optimal…

Machine Learning · Computer Science 2019-04-03 Eric Benhamou , David Saltiel , Sebastien Verel , Fabien Teytaud

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

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

Computer Science and Game Theory · Computer Science 2019-01-18 Sam Ganzfried

Pre-training a diverse set of neural network controllers in simulation has enabled robots to adapt online to damage in robot locomotion tasks. However, finding diverse, high-performing controllers requires expensive network training and…

Robotics · Computer Science 2023-09-19 Bryon Tjanaka , Matthew C. Fontaine , David H. Lee , Aniruddha Kalkar , Stefanos Nikolaidis

In this study, we consider a continuous min--max optimization problem $\min_{x \in \mathbb{X} \max_{y \in \mathbb{Y}}}f(x,y)$ whose objective function is a black-box. We propose a novel approach to minimize the worst-case objective function…

Neural and Evolutionary Computing · Computer Science 2023-03-29 Atsuhiro Miyagi , Yoshiki Miyauchi , Atsuo Maki , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

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

This paper explores the theoretical basis of the covariance matrix adaptation evolution strategy (CMA-ES) from the information geometry viewpoint. To establish a theoretical foundation for the CMA-ES, we focus on a geometric structure of a…

Neural and Evolutionary Computing · Computer Science 2012-06-06 Youhei Akimoto , Yuichi Nagata , Isao Ono , Shigenobu Kobayashi

In several real-world applications in medical and control engineering, there are unsafe solutions whose evaluations involve inherent risk. This optimization setting is known as safe optimization and formulated as a specialized type of…

Neural and Evolutionary Computing · Computer Science 2024-05-20 Kento Uchida , Ryoki Hamano , Masahiro Nomura , Shota Saito , Shinichi Shirakawa

This work concerns the evolutionary approaches to distributed stochastic black-box optimization, in which each worker can individually solve an approximation of the problem with nature-inspired algorithms. We propose a distributed evolution…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Xiaoyu He , Zibin Zheng , Chuan Chen , Yuren Zhou , Chuan Luo , Qingwei Lin

In this paper, an evolutionary strategy (ES) method is introduced as an optimization approach to solve problems in the manufacturing area. The ES method is applied to a case study for milling operations. The results show that it can…

Optimization and Control · Mathematics 2015-01-08 Zhixin Yang

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

We combine a refined version of two-point step-size adaptation with the covariance matrix adaptation evolution strategy (CMA-ES). Additionally, we suggest polished formulae for the learning rate of the covariance matrix and the…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Nikolaus Hansen

The covariance matrix adaptation evolution strategy (CMA-ES) is a stochastic search algorithm using a multivariate normal distribution for continuous black-box optimization. In addition to strong empirical results, part of the CMA-ES can be…

Neural and Evolutionary Computing · Computer Science 2024-08-12 Ryoki Hamano , Shinichi Shirakawa , Masahiro Nomura