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This paper proposes the multi objective variant of the recently introduced fitness dependent optimizer (FDO). The algorithm is called a Multi objective Fitness Dependent Optimizer (MOFDO) and is equipped with all five types of knowledge…

Neural and Evolutionary Computing · Computer Science 2023-02-14 Jaza M. Abdullah , Tarik A. Rashid , Bestan B. Maaroof , Seyedali Mirjalili

Evolutionary algorithms are widely used to solve optimisation problems. However, challenges of transparency arise in both visualising the processes of an optimiser operating through a problem and understanding the problem features produced…

Neural and Evolutionary Computing · Computer Science 2020-06-23 Mathew Walter , David Walker , Matthew Craven

We study the problem of optimizing nonlinear objective functions over bipartite matchings. While the problem is generally intractable, we provide several efficient algorithms for it, including a deterministic algorithm for maximizing convex…

Optimization and Control · Mathematics 2008-07-24 Yael Berstein , Shmuel Onn

The set-based concept approach has been suggested as a means to simultaneously explore different design concepts, which are meaningful sub-sets of the entire set of solutions. Previous efforts concerning the suggested approach focused on…

Artificial Intelligence · Computer Science 2017-07-05 Eliran Farhi , Amiram Moshaiov

Multi-objective feature selection is one of the most significant issues in the field of pattern recognition. It is challenging because it maximizes the classification performance and, at the same time, minimizes the number of selected…

Artificial Intelligence · Computer Science 2022-11-11 Motahare Namakin , Modjtaba Rouhani , Mostafa Sabzekar

In multidisciplinary optimization the designer needs to find solution to optimization problems which include a number of usually contradicting criteria. Such a problem is mathematically related to the field of nonlinear vector optimization…

Optimization and Control · Mathematics 2007-05-23 S. V. Utyuzhnikov , P. Fantini , M. D. Guenov

In a multiobjective optimization problem a solution is called Pareto-optimal if no criterion can be improved without deteriorating at least one of the other criteria. Computing the set of all Pareto-optimal solutions is a common task in…

Data Structures and Algorithms · Computer Science 2020-10-22 Heiko Röglin

This article describes an improved set of solutions to the problems presented in the 2021 Syngenta Crop Challenge in Analytics \citep{Syngenta2021}. In particular, we use multiobjective optimization and predictive modeling methods to…

Optimization and Control · Mathematics 2025-03-27 Mingshi Cui , Kunting Qi , Byran Smucker , Durai Sundarmoorthi

Firefly algorithms belong to modern meta-heuristic algorithms inspired by nature that can be successfully applied to continuous optimization problems. In this paper, we have been applied the firefly algorithm, hybridized with local search…

Optimization and Control · Mathematics 2012-05-14 Iztok Fister , Xin-She Yang , Iztok Fister , Janez Brest

Fitness landscape analysis investigates features with a high influence on the performance of optimization algorithms, aiming to take advantage of the addressed problem characteristics. In this work, a fitness landscape analysis using…

Artificial Intelligence · Computer Science 2018-06-27 Marcella S. R. Martins , Mohamed El Yafrani , Roberto Santana , Myriam Delgado , Ricardo Lüders , Belaïd Ahiod

Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic…

Logic in Computer Science · Computer Science 2015-03-20 Vojtech Forejt , Marta Kwiatkowska , David Parker

Many-objective optimisation, a subset of multi-objective optimisation, involves optimisation problems with more than three objectives. As the number of objectives increases, the number of solutions needed to adequately represent the entire…

Artificial Intelligence · Computer Science 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

Multi-objective optimization (MOO) aims to optimize multiple, possibly conflicting objectives with widespread applications. We introduce a novel interacting particle method for MOO inspired by molecular dynamics simulations. Our approach…

Machine Learning · Computer Science 2024-11-22 Yinuo Ren , Tesi Xiao , Tanmay Gangwani , Anshuka Rangi , Holakou Rahmanian , Lexing Ying , Subhajit Sanyal

Traditional approaches to portfolio optimization, often rooted in Modern Portfolio Theory and solved via quadratic programming or evolutionary algorithms, struggle with scalability or flexibility, especially in scenarios involving complex…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Christian Oliva , Pedro R. Ventura , Luis F. Lago-Fernández

In this article we develop a gradient-based algorithm for the solution of multiobjective optimization problems with uncertainties. To this end, an additional condition is derived for the descent direction in order to account for…

Optimization and Control · Mathematics 2018-08-02 Sebastian Peitz , Michael Dellnitz

Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

Neural and Evolutionary Computing · Computer Science 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

Neural and Evolutionary Computing · Computer Science 2019-08-06 Hormoz Shahrzad , Babak Hodjat , Camille Dollé , Andrei Denissov , Simon Lau , Donn Goodhew , Justin Dyer , Risto Miikkulainen

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

Data-driven evolutionary multi-objective optimization (EMO) has been recognized as an effective approach for multi-objective optimization problems with expensive objective functions. The current research is mainly developed for problems…

Neural and Evolutionary Computing · Computer Science 2022-05-31 Renzhi Chen , Ke Li