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This paper proposes a novel technique called "successive stochastic smoothing" that optimizes nonsmooth and discontinuous functions while considering various constraints. Our methodology enables local and global optimization, making it a…

Optimization and Control · Mathematics 2023-08-17 Vladimir Norkin , Alois Pichler , Anton Kozyriev

We study the problem of constrained efficient global optimization, where both the objective and constraints are expensive black-box functions that can be learned with Gaussian processes. We propose CONFIG (CONstrained efFIcient Global…

Optimization and Control · Mathematics 2025-02-07 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

The multiple knapsack problem with grouped items aims to maximize rewards by assigning groups of items among multiple knapsacks, considering knapsack capacities. Either all items in a group are assigned or none at all. We propose algorithms…

Data Structures and Algorithms · Computer Science 2020-06-02 Francisco Castillo-Zunino , Pinar Keskinocak

Multi-Objective Evolutionary Algorithms (MOEAs) have been proved efficient to deal with Multi-objective Optimization Problems (MOPs). Until now tens of MOEAs have been proposed. The unified mode would provide a more systematic approach to…

Neural and Evolutionary Computing · Computer Science 2011-02-01 Bojin Zheng , Yuanxiang Li

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

Data Structures and Algorithms · Computer Science 2018-05-22 Yasushi Kawase , Hanna Sumita

A rigorous runtime analysis of evolutionary multi-objective optimization for the classical vertex cover problem in the context of parameterized complexity analysis has been presented by Kratsch and Neumann (2013). In this paper, we extend…

Neural and Evolutionary Computing · Computer Science 2016-04-07 Mojgan Pourhassan , Feng Shi , Frank Neumann

The main goal of diversity optimization is to find a diverse set of solutions which satisfy some lower bound on their fitness. Evolutionary algorithms (EAs) are often used for such tasks, since they are naturally designed to optimize…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Denis Antipov , Aneta Neumann , Frank Neumann

Multiobjective feature selection seeks to determine the most discriminative feature subset by simultaneously optimizing two conflicting objectives: minimizing the number of selected features and the classification error rate. The goal is to…

Neural and Evolutionary Computing · Computer Science 2025-05-12 Zhenxing Zhang , Qianxiang An , Yilei Wang , Chenfeng Wu , Baoling Dong , Chunjie Zhou

Single-objective bilevel optimization is a specialized form of constraint optimization problems where one of the constraints is an optimization problem itself. These problems are typically non-convex and strongly NP-Hard. Recently, there…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Anuraganand Sharma

Constrained multi-objective optimization problems (CMOPs) are ubiquitous in real-world engineering optimization scenarios. A key issue in constrained multi-objective optimization is to strike a balance among convergence, diversity and…

Neural and Evolutionary Computing · Computer Science 2021-03-12 Xinyu Shan , Ke Li

This paper gives a concise overview of evolutionary algorithms for multiobjective optimization. A substantial number of evolutionary computation methods for multiobjective problem solving has been proposed so far, and an attempt of unifying…

Combinatorics · Mathematics 2009-04-21 Arnaud Liefooghe , Laetitia Jourdan , El-Ghazali Talbi

In expensive multi-objective optimization, where the evaluation budget is strictly limited, selecting promising candidate solutions for expensive fitness evaluations is critical for accelerating convergence and improving algorithmic…

Neural and Evolutionary Computing · Computer Science 2025-06-16 Huixiang Zhen , Xiaotong Li , Wenyin Gong , Xiangyun Hu

We study the incremental knapsack problem, where one wishes to sequentially pack items into a knapsack whose capacity expands over a finite planning horizon, with the objective of maximizing time-averaged profits. While various…

Data Structures and Algorithms · Computer Science 2020-10-16 Ali Aouad , Danny Segev

This paper introduces the inverse modeling constrained multi-objective evolutionary algorithm based on decomposition (IM-C-MOEA/D) for addressing constrained real-world optimization problems. Our research builds upon the advancements made…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Lucas R. C. Farias , Aluizio F. R. Araújo

Most optimization-based community detection approaches formulate the problem in a single or bi-objective framework. In this paper, we propose two variants of a three-objective formulation using a customized non-dominated sorting genetic…

Neural and Evolutionary Computing · Computer Science 2020-05-08 Shaik Tanveer ul Huq , Vadlamani Ravi , Kalyanmoy Deb

In this paper, we propose a parallel multiobjective evolutionary algorithm called Parallel Criterion-based Partitioning MOEA (PCPMOEA), with an application to the Mutliobjective Knapsack Problem (MOKP). The suggested search strategy is…

Optimization and Control · Mathematics 2018-11-07 Kantour Nedjmeddine , Bouroubi Sadek , Chaabane Djamel

Real world problems always have different multiple solutions. For instance, optical engineers need to tune the recording parameters to get as many optimal solutions as possible for multiple trials in the varied-line-spacing holographic…

Neural and Evolutionary Computing · Computer Science 2015-08-04 Ka-Chun Wong

Machine learning problems with multiple objective functions appear either in learning with multiple criteria where learning has to make a trade-off between multiple performance metrics such as fairness, safety and accuracy; or, in…

Machine Learning · Computer Science 2024-03-20 Heshan Fernando , Han Shen , Miao Liu , Subhajit Chaudhury , Keerthiram Murugesan , Tianyi Chen

Now-a-days, it is important to find out solutions of Multi-Objective Optimization Problems (MOPs). Evolutionary Strategy helps to solve such real world problems efficiently and quickly. But sequential Evolutionary Algorithms (EAs) require…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Md. Asadul Islam , G. M. Mashrur-E-Elahi , M. M. A. Hashem

We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we are given a set of $n$ items, each associated with a non-negative weight, and $T$ time…

Data Structures and Algorithms · Computer Science 2020-09-16 Yuri Faenza , Danny Segev , Lingyi Zhang
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