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Model-based evolutionary algorithms (EAs) adapt an underlying search model to features of the problem at hand, such as the linkage between problem variables. The performance of EAs often deteriorates as multiple modes in the fitness…

Neural and Evolutionary Computing · Computer Science 2018-10-17 S. C. Maree , T. Alderliesten , D. Thierens , P. A. N. Bosman

Bi-level optimization, especially the gradient-based category, has been widely used in the deep learning community including hyperparameter optimization and meta-knowledge extraction. Bi-level optimization embeds one problem within another…

Machine Learning · Computer Science 2023-07-11 Can Chen , Xi Chen , Chen Ma , Zixuan Liu , Xue Liu

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

Real-world and complex problems have usually many objective functions that have to be optimized all at once. Over the last decades, Multi-Objective Evolutionary Algorithms (MOEAs) are designed to solve this kind of problems. Nevertheless,…

Neural and Evolutionary Computing · Computer Science 2020-02-21 Cristian Ramirez-Atencia , Sanaz Mostaghim , David Camacho

In model-based evolutionary algorithms (EAs), the underlying search distribution is adapted to the problem at hand, for example based on dependencies between decision variables. Hill-valley clustering is an adaptive niching method in which…

Neural and Evolutionary Computing · Computer Science 2020-10-29 S. C. Maree , T. Alderliesten , P. A. N. Bosman

We present a non-convex optimization algorithm metaheuristic, based on the training of a deep generative network, which enables effective searching within continuous, ultra-high dimensional landscapes. During network training, populations…

Machine Learning · Computer Science 2023-07-11 Jiaqi Jiang , Jonathan A. Fan

Imaging in radioastronomy is an ill-posed inverse problem. Particularly the Event Horizon Telescope (EHT) Collaboration investigated the fidelity of their image reconstructions convincingly by large surveys solving the problem with…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Hendrik Müller , Alejandro Mus , Andrei Lobanov

Bilevel optimization is a hierarchical framework where an upper-level optimization problem is constrained by a lower-level problem, commonly used in machine learning applications such as hyperparameter optimization. Existing bilevel…

Optimization and Control · Mathematics 2026-03-03 Yuman Wu , Xiaochuan Gong , Jie Hao , Mingrui Liu

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

We present a novel data-driven approach for enhancing gradient reconstruction in unstructured finite volume methods for hyperbolic conservation laws, specifically for the 2D Euler equations. Our approach extends previous structured-grid…

Numerical Analysis · Mathematics 2025-07-23 G. de Romémont , F. Renac , F. Chinesta , J. Nunez , D. Gueyffier

The present survey provides the state-of-the-art of research, copiously devoted to Evolutionary Approach (EAs) for clustering exemplified with a diversity of evolutionary computations. The Survey provides a nomenclature that highlights some…

Neural and Evolutionary Computing · Computer Science 2013-12-10 Ramachandra Rao Kurada , Dr. K Karteeka Pavan , Dr. AV Dattareya Rao

Learning to optimize the area under the receiver operating characteristics curve (AUC) performance for imbalanced data has attracted much attention in recent years. Although there have been several methods of AUC optimization, scaling up…

Machine Learning · Computer Science 2024-10-28 Chao Wang , Kai Wu , Jing Liu

Although application examples of multilevel optimization have already been discussed since the 1990s, the development of solution methods was almost limited to bilevel cases due to the difficulty of the problem. In recent years, in machine…

Optimization and Control · Mathematics 2021-10-27 Ryo Sato , Mirai Tanaka , Akiko Takeda

We present two stochastic descent algorithms that apply to unconstrained optimization and are particularly efficient when the objective function is slow to evaluate and gradients are not easily obtained, as in some PDE-constrained…

Optimization and Control · Mathematics 2019-04-30 David Kozak , Stephen Becker , Alireza Doostan , Luis Tenorio

We propose a new, more general approach to the design of stochastic gradient-based optimization methods for machine learning. In this new framework, optimizers assume access to a batch of gradient estimates per iteration, rather than a…

Machine Learning · Computer Science 2021-12-02 Julius Kunze , James Townsend , David Barber

A new model for evolving Evolutionary Algorithms (EAs) is proposed in this paper. The model is based on the Multi Expression Programming (MEP) technique. Each MEP chromosome encodes an evolutionary pattern that is repeatedly used for…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Mihai Oltean

The complexity in large-scale optimization can lie in both handling the objective function and handling the constraint set. In this respect, stochastic Frank-Wolfe algorithms occupy a unique position as they alleviate both computational…

Optimization and Control · Mathematics 2021-02-16 Cyrille W. Combettes , Christoph Spiegel , Sebastian Pokutta

Expensive optimization problems (EOPs) are prevalent in real-world applications, where the evaluation of a single solution requires a significant amount of resources. In our study of surrogate-assisted evolutionary algorithms (SAEAs) in…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Hao Hao , Xiaoqun Zhang , Aimin Zhou

We consider the projected gradient algorithm for the nonconvex best subset selection problem that minimizes a given empirical loss function under an $\ell_0$-norm constraint. Through decomposing the feasible set of the given sparsity…

Optimization and Control · Mathematics 2026-02-13 Jan Harold Alcantara , Ching-pei Lee

Building a surrogate model of an objective function has shown to be effective to assist evolutionary algorithms (EAs) to solve real-world complex optimisation problems which involve either computationally expensive numerical simulations or…

Neural and Evolutionary Computing · Computer Science 2020-02-11 Xiaoran Ruan , Ke Li , Bilel Derbel , Arnaud Liefooghe