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This paper analyses a $(1,\lambda)$-Evolution Strategy, a randomised comparison-based adaptive search algorithm, on a simple constraint optimisation problem. The algorithm uses resampling to handle the constraint and optimizes a linear…

Neural and Evolutionary Computing · Computer Science 2014-12-09 Alexandre Chotard , Anne Auger , Nikolaus Hansen

In real-world optimisation, it is common to face several sub-problems interacting and forming the main problem. There is an inter-dependency between the sub-problems, making it impossible to solve such a problem by focusing on only one…

Neural and Evolutionary Computing · Computer Science 2023-01-05 Adel Nikfarjam , Aneta Neumann , Frank Neumann

We study the problem of maximizing a non-monotone submodular function under multiple knapsack constraints. We propose a simple discrete greedy algorithm to approach this problem, and prove that it yields strong approximation guarantees for…

Machine Learning · Computer Science 2020-02-19 Vanja Doskoč , Tobias Friedrich , Andreas Göbel , Frank Neumann , Aneta Neumann , Francesco Quinzan

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

We study the problem of maximizing a monotone submodular function subject to a Multiple Knapsack constraint. The input is a set $I$ of items, each has a non-negative weight, and a set of bins of arbitrary capacities. Also, we are given a…

Data Structures and Algorithms · Computer Science 2021-04-19 Yaron Fairstein , Ariel Kulik , Joseph , Naor , Danny Raz , Hadas Shachnai

In the empirical study of evolutionary algorithms, the solution quality is evaluated by either the fitness value or approximation error. The latter measures the fitness difference between an approximation solution and the optimal solution.…

Neural and Evolutionary Computing · Computer Science 2018-10-30 Jun He , Yu Chen , Yuren Zhou

Evolutionary diversity optimization aims to compute a diverse set of solutions where all solutions meet a given quality criterion. With this paper, we bridge the areas of evolutionary diversity optimization and evolutionary multi-objective…

Neural and Evolutionary Computing · Computer Science 2018-11-19 Aneta Neumann , Wanru Gao , Markus Wagner , Frank Neumann

In this paper, we scale evolutionary algorithms to high-dimensional optimization problems that deceptively possess a low effective dimensionality (certain dimensions do not significantly affect the objective function). To this end, an…

Neural and Evolutionary Computing · Computer Science 2024-01-02 Yaqing Hou , Mingyang Sun , Abhishek Gupta , Yaochu Jin , Haiyin Piao , Hongwei Ge , Qiang Zhang

When addressing the challenge of complex multi-objective optimization problems, particularly those with non-convex and non-uniform Pareto fronts, Decomposition-based Multi-Objective Evolutionary Algorithms (MOEADs) often converge to local…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Ting Dong , Haoxin Wang , Hengxi Zhang , Wenbo Ding

In dealing with constrained multi-objective optimization problems (CMOPs), a key issue of multi-objective evolutionary algorithms (MOEAs) is to balance the convergence and diversity of working populations.

Neural and Evolutionary Computing · Computer Science 2019-06-04 Zhun Fan , Zhaojun Wang , Wenji Li , Yutong Yuan , Yugen You , Zhi Yang , Fuzan Sun , Jie Ruan , Zhaocheng Li

Feature selection plays a pivotal role in the data preprocessing and model-building pipeline, significantly enhancing model performance, interpretability, and resource efficiency across diverse domains. In population-based optimization…

Machine Learning · Computer Science 2024-08-20 Sevil Zanjani Miyandoab , Shahryar Rahnamayan , Azam Asilian Bidgoli , Sevda Ebrahimi , Masoud Makrehchi

In this report, we survey Bayesian Optimization methods focussed on the Multi-Armed Bandit Problem. We take the help of the paper "Portfolio Allocation for Bayesian Optimization". We report a small literature survey on the acquisition…

Machine Learning · Computer Science 2020-12-16 Abhilash Nandy , Chandan Kumar , Deepak Mewada , Soumya Sharma

Food production is a complex process which can benefit from many optimisation approaches. However, there is growing interest in methods that support customisation of food properties to satisfy individual consumer preferences. This paper…

Neural and Evolutionary Computing · Computer Science 2022-04-14 Mohammad Majid al-Rifaie , Marc Cavazza

This paper combines the idea of a hierarchical distributed genetic algorithm with different inter-agent partnering strategies. Cascading clusters of sub-populations are built from bottom up, with higher-level sub-populations optimising…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Larry Bull

Many-objective evolutionary algorithms (MOEAs), especially the decomposition-based MOEAs, have attracted wide attention in recent years. Recent studies show that a well designed combination of the decomposition method and the domination…

Neural and Evolutionary Computing · Computer Science 2019-09-05 Yingyu Zhang , Yuanzhen Li , Quan-Ke Panb , P. N. Suganthan

We study continuous, equality knapsack problems with uniform separable, non-convex objective functions that are continuous, antisymmetric about a point, and have concave and convex regions. For example, this model captures a simple…

Optimization and Control · Mathematics 2024-07-16 Jamie Fravel , Robert Hildebrand , Laurel Travis

This presented study provides a novel analysis of scholarly literature on constraint handling techniques for single-objective and multi-objective population-based algorithms according to the most relevant journals, keywords, authors, and…

Optimization and Control · Mathematics 2022-06-29 Iman Rahimi , Amir H. Gandomi , Fang Chen , Efren Mezura-Montes

Evolutionary algorithms have been successfully applied to a variety of optimisation problems in stationary environments. However, many real world optimisation problems are set in dynamic environments where the success criteria shifts…

Neural and Evolutionary Computing · Computer Science 2016-10-11 Matthew Hughes

We consider a variant of the knapsack problem, where items are available with different possible weights. Using a separate budget for these item improvements, the question is: Which items should be improved to which degree such that the…

Optimization and Control · Mathematics 2016-07-29 Marc Goerigk , Yogish Sabharwal , Anita Schöbel , Sandeep Sen

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