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Chance-constrained problems involve stochastic components in the constraints which can be violated with a small probability. We investigate the impact of different types of chance constraints on the performance of iterative search…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Saba Sadeghi Ahouei , Jacob de Nobel , Aneta Neumann , Thomas Bäck , Frank Neumann

The 0/1 knapsack problem is weakly NP-hard in that there exist pseudo-polynomial time algorithms based on dynamic programming that can solve it exactly. There are also the core branch and bound algorithms that can solve large randomly…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Shalin Shah

Most of the real-world problems are multimodal in nature that consists of multiple optimum values. Multimodal optimization is defined as the process of finding multiple global and local optima (as opposed to a single solution) of a…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Shatendra Singh , Aruna Tiwari

Evolutionary neural architecture search (ENAS) employs evolutionary algorithms to find high-performing neural architectures automatically, and has achieved great success. However, compared to the empirical success, its rigorous theoretical…

Neural and Evolutionary Computing · Computer Science 2024-04-09 Zeqiong Lv , Chao Qian , Yanan Sun

The performance of base-line Evolutionary Algorithms (EAs) on combinatorial problems has been studied rigorously. From the theoretical viewpoint, the literature extensively investigates the linear problems, while the theoretical analysis of…

Neural and Evolutionary Computing · Computer Science 2019-07-02 Vahid Roostapour , Mojgan Pourhassan , Frank Neumann

This paper provides an in-depth empirical analysis of several evolutionary algorithms on the one-dimensional spin glass model with power-law interactions. The considered spin glass model provides a mechanism for tuning the effective range…

Disordered Systems and Neural Networks · Physics 2009-07-29 Martin Pelikan , Helmut G. Katzgraber

Not all generate-and-test search algorithms are created equal. Bayesian Optimization (BO) invests a lot of computation time to generate the candidate solution that best balances the predicted value and the uncertainty given all previous…

Neural and Evolutionary Computing · Computer Science 2020-05-11 Gongjin Lan , Jakub M. Tomczak , Diederik M. Roijers , A. E. Eiben

The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. However, theoretical results regarding the $(\mu+\lambda)$ evolutionary algorithm (EA) for combinatorial optimization…

Neural and Evolutionary Computing · Computer Science 2025-07-04 Min Huang , Pengxiang Chen , Han Huang , Tongli He , Yushan Zhang , Zhifeng Hao

Theoretical studies on evolutionary algorithms have developed vigorously in recent years. Many such algorithms have theoretical guarantees in both running time and approximation ratio. Some approximation mechanism seems to be inherently…

Neural and Evolutionary Computing · Computer Science 2022-10-04 Yaoyao Zhang , Chaojie Zhu , Shaojie Tang , Ringli Ran , Ding-Zhu Du , Zhao Zhang

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

Optimization and Control · Mathematics 2020-03-24 Tao Xu , Jun He , Changjing Shang

The emerging research paradigm coined as multitasking optimization aims to solve multiple optimization tasks concurrently by means of a single search process. For this purpose, the exploitation of complementarities among the tasks to be…

Artificial Intelligence · Computer Science 2020-05-14 Eneko Osaba , Aritz D. Martinez , Akemi Galvez , Andres Iglesias , Javier Del Ser

The problem of non-monotone $k$-submodular maximization under a knapsack constraint ($\kSMK$) over the ground set size $n$ has been raised in many applications in machine learning, such as data summarization, information propagation, etc.…

Data Structures and Algorithms · Computer Science 2023-09-22 Dung T. K. Ha , Canh V. Pham , Tan D. Tran , Huan X. Hoang

Machine learning has rapidly evolved during the last decade, achieving expert human performance on notoriously challenging problems such as image classification. This success is partly due to the re-emergence of bio-inspired modern…

Neural and Evolutionary Computing · Computer Science 2023-08-08 Edgar Galván , Fergal Stapleton

Parent selection in evolutionary algorithms for multi-objective optimisation is usually performed by dominance mechanisms or indicator functions that prefer non-dominated points. We propose to refine the parent selection on evolutionary…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Edgar Covantes Osuna , Wanru Gao , Frank Neumann , Dirk Sudholt

A key challenge to make effective use of evolutionary algorithms is to choose appropriate settings for their parameters. However, the appropriate parameter setting generally depends on the structure of the optimisation problem, which is…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Brendan Case , Per Kristian Lehre

Traditional methods present a very restrictive range of applications, mainly limited by the features of the function to be optimized and of the constraint functions. In contrast, evolutionary algorithms present almost no restriction to the…

Neural and Evolutionary Computing · Computer Science 2021-01-26 Mauro S. Innocente , Johann Sienz

On-policy reinforcement learning (RL) algorithms are widely used for their strong asymptotic performance and training stability, but they struggle to scale with larger batch sizes, as additional parallel environments yield redundant data…

Machine Learning · Computer Science 2025-11-13 Jianren Wang , Yifan Su , Abhinav Gupta , Deepak Pathak

Schemata theory, Markov chains, and statistical mechanics have been used to explain how evolutionary algorithms (EAs) work. Incremental success has been achieved with all of these methods, but each has been stymied by limitations related to…

Neural and Evolutionary Computing · Computer Science 2012-06-29 Andrew Clark

In this article we provide a comprehensive review of the different evolutionary algorithm techniques used to address multimodal optimization problems, classifying them according to the nature of their approach. On the one hand there are…

Neural and Evolutionary Computing · Computer Science 2015-08-24 Noe Casas

Evolutionary algorithms often struggle to find well converged (e.g small inverted generational distance on test problems) solutions to multi-objective optimization problems on a limited budget of function evaluations (here, a few hundred).…

Neural and Evolutionary Computing · Computer Science 2025-04-30 Christopher M. Pierce , Young-Kee Kim , Ivan Bazarov