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Efficient Natural Evolution Strategies (eNES) is a novel alternative to conventional evolutionary algorithms, using the natural gradient to adapt the mutation distribution. Unlike previous methods based on natural gradients, eNES uses a…

Artificial Intelligence · Computer Science 2012-09-27 Yi Sun , Daan Wierstra , Tom Schaul , Juergen Schmidhuber

We introduce an order-invariant reinforcement learning framework for black-box combinatorial optimization. Classical estimation-of-distribution algorithms (EDAs) often rely on learning explicit variable dependency graphs, which can be…

Machine Learning · Computer Science 2026-01-30 Olivier Goudet , Quentin Suire , Adrien Goëffon , Frédéric Saubion , Sylvain Lamprier

Evolutionary algorithms (EAs) serve as powerful black-box optimizers inspired by biological evolution. However, most existing EAs predominantly focus on heuristic operators such as crossover and mutation, while usually overlooking…

Neural and Evolutionary Computing · Computer Science 2026-01-21 Kaichen Ouyang , Mingyang Yu , Zong Ke , Junbo Jacob Lian , Shengwei Fu , Xiaoyang Hao , Shengju Yu , Dayu Hu

In this paper, we study the performance of IPOP-saACM-ES and BIPOP-saACM-ES, recently proposed self-adaptive surrogate-assisted Covariance Matrix Adaptation Evolution Strategies. Both algorithms were tested using restarts till a total…

Neural and Evolutionary Computing · Computer Science 2012-06-26 Ilya Loshchilov , Marc Schoenauer , Michèle Sebag

Differential evolution (DE) algorithm is recognized as one of the most effective evolutionary algorithms, demonstrating remarkable efficacy in black-box optimization due to its derivative-free nature. Numerous enhancements to the…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Xu Yang , Rui Wang , Kaiwen Li , Ling Wang

In this paper, we propose algorithms that exploit negative curvature for solving noisy nonlinear nonconvex unconstrained optimization problems. We consider both deterministic and stochastic inexact settings, and develop two-step algorithms…

Optimization and Control · Mathematics 2024-11-18 Albert S. Berahas , Raghu Bollapragada , Wanping Dong

Second-order optimization methods are among the most widely used optimization approaches for convex optimization problems, and have recently been used to optimize non-convex optimization problems such as deep learning models. The widely…

Optimization and Control · Mathematics 2022-02-01 Dinesh Singh , Hardik Tankaria , Makoto Yamada

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…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

Automated hyperparameter tuning aspires to facilitate the application of machine learning for non-experts. In the literature, different optimization approaches are applied for that purpose. This paper investigates the performance of…

Machine Learning · Computer Science 2019-04-16 Mischa Schmidt , Shahd Safarani , Julia Gastinger , Tobias Jacobs , Sebastien Nicolas , Anett Schülke

The (1+1)-evolution strategy (ES) with success-based step-size adaptation is analyzed on a general convex quadratic function and its monotone transformation, that is, $f(x) = g((x - x^*)^\mathrm{T} H (x - x^*))$, where…

Neural and Evolutionary Computing · Computer Science 2021-04-13 Daiki Morinaga , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

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…

Neural and Evolutionary Computing · Computer Science 2018-03-06 Carola Doerr , Markus Wagner

The limited memory BFGS method (L-BFGS) of Liu and Nocedal (1989) is often considered to be the method of choice for continuous optimization when first- and/or second- order information is available. However, the use of L-BFGS can be…

Neural and Evolutionary Computing · Computer Science 2015-11-03 Ilya Loshchilov

Differential evolution is one of the most prestigious population-based stochastic optimization algorithm for black-box problems. The performance of a differential evolution algorithm depends highly on its mutation and crossover strategy and…

Neural and Evolutionary Computing · Computer Science 2021-02-09 Jianyong Sun , Xin Liu , Thomas Bäck , Zongben Xu

Second-order optimization uses curvature information about the objective function, which can help in faster convergence. However, such methods typically require expensive computation of the Hessian matrix, preventing their usage in a…

Machine Learning · Computer Science 2022-11-03 Mohamed Elsayed , A. Rupam Mahmood

We analyze the efficacy of modern neuro-evolutionary strategies for continuous control optimization. Overall, the results collected on a wide variety of qualitatively different benchmark problems indicate that these methods are generally…

Neural and Evolutionary Computing · Computer Science 2020-06-02 Paolo Pagliuca , Nicola Milano , Stefano Nolfi

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

In this paper, we introduce EvoPort, a novel evolutionary portfolio optimization method that leverages stochastic exploration over a spectrum of investment pipeline depths. From raw equity data, we employ a randomized feature generation…

Computation · Statistics 2025-06-11 Nguyen Van Thanh , Nguyen Thi Hau

A predominant topic in the theory of evolutionary algorithms and, more generally, theory of randomized black-box optimization techniques is running time analysis. Running time analysis aims at understanding the performance of a given…

Neural and Evolutionary Computing · Computer Science 2018-06-13 Carola Doerr

We propose a novel algorithm that extends the methods of ball smoothing and Gaussian smoothing for noisy derivative-free optimization by accounting for the heterogeneous curvature of the objective function. The algorithm dynamically adapts…

Machine Learning · Computer Science 2024-05-06 Sam Reifenstein , Timothee Leleu , Yoshihisa Yamamoto

We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO). The algorithm alternates polynomial approximation with Bayesian optimization steps, using Gaussian processes to model the error…

Optimization and Control · Mathematics 2024-03-13 Janina Schreiber , Pau Batlle , Damar Wicaksono , Michael Hecht
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