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This paper proposes a nonmonotone proximal quasi-Newton algorithm for unconstrained convex multiobjective composite optimization problems. To design the search direction, we minimize the max-scalarization of the variations of the Hessian…

Optimization and Control · Mathematics 2023-10-04 Xiaoxue Jiang

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

Multi-task learning (MTL), which aims to improve performance by learning multiple tasks simultaneously, inherently presents an optimization challenge due to multiple objectives. Hence, multi-objective optimization (MOO) approaches have been…

Artificial Intelligence · Computer Science 2021-10-08 Simyung Chang , KiYoon Yoo , Jiho Jang , Nojun Kwak

The problem of allocating students to supervisors for the development of a personal project or a dissertation is a crucial activity in the higher education environment, as it enables students to get feedback on their work from an expert and…

Artificial Intelligence · Computer Science 2018-12-18 Victor Sanchez-Anguix , Rithin Chalumuri , Reyhan Aydogan , Vicente Julian

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

This paper proposes a novel evolutionary algorithm called Epistocracy which incorporates human socio-political behavior and intelligence to solve complex optimization problems. The inspiration of the Epistocracy algorithm originates from a…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Seyed Ziae Mousavi Mojab , Seyedmohammad Shams , Hamid Soltanian-Zadeh , Farshad Fotouhi

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 Evolutionary Robotics a population of solutions is evolved to optimize robots that solve a given task. However, in traditional Evolutionary Algorithms, the population of solutions tends to converge to local optima when the problem is…

Robotics · Computer Science 2020-08-06 Jørgen Nordmoen , Frank Veenstra , Kai Olav Ellefsen , Kyrre Glette

In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which are solved simultaneously. To this end a consensus based…

Optimization and Control · Mathematics 2022-08-03 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

This paper looks in detail at how an evolutionary algorithm attempts to solve instances from the multimodal problem generator. The paper shows that in order to consistently reach the global optimum, an evolutionary algorithm requires a…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Fernando G. Lobo , Claudio F. Lima

The goal of multi-objective optimization is to understand optimal trade-offs between competing objective functions by finding the Pareto front, i.e., the set of all Pareto optimal solutions, where no objective can be improved without…

This paper addresses the problem of approximating the set of all solutions for Multi-objective Markov Decision Processes. We show that in the vast majority of interesting cases, the number of solutions is exponential or even infinite. In…

Machine Learning · Computer Science 2020-09-18 L. Mandow , J. L. Pérez de la Cruz , N. Pozas

We have recently presented SAFE -- Solution And Fitness Evolution -- a commensalistic coevolutionary algorithm that maintains two coevolving populations: a population of candidate solutions and a population of candidate objective functions.…

Neural and Evolutionary Computing · Computer Science 2022-06-29 Moshe Sipper , Jason H. Moore , Ryan J. Urbanowicz

In a variety of domains, from robotics to finance, Quality-Diversity algorithms have been used to generate collections of both diverse and high-performing solutions. Multi-Objective Quality-Diversity algorithms have emerged as a promising…

Artificial Intelligence · Computer Science 2026-02-03 Hannah Janmohamed , Maxence Faldor , Thomas Pierrot , Antoine Cully

Recently, Pareto Set Learning (PSL) has been proposed for learning the entire Pareto set using a neural network. PSL employs preference vectors to scalarize multiple objectives, facilitating the learning of mappings from preference vectors…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Rongguang Ye , Longcan Chen , Jinyuan Zhang , Hisao Ishibuchi

Nervous systems, like any organismal structure, have been shaped by evolutionary processes to increase fitness. The resulting neural 'bauplan' has to account for multiple objectives simultaneously, including computational function as well…

Neurons and Cognition · Quantitative Biology 2021-05-05 Fabian Pallasdies , Philipp Norton , Jan-Hendrik Schleimer , Susanne Schreiber

This paper examines the use of a hierarchical coevolutionary genetic algorithm under different partnering strategies. Cascading clusters of sub-populations are built from the bottom up, with higher-level sub-populations optimising larger…

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

In the context of Noisy Multi-Objective Optimization, dealing with uncertainties requires the decision maker to define some preferences about how to handle them, through some statistics (e.g., mean, median) to be used to evaluate the…

Artificial Intelligence · Computer Science 2014-06-20 Gaétan Marceau , Marc Schoenauer

We study a multi-objective scheduling problem on two dedicated processors. The aim is to minimize simultaneously the makespan, the total tardiness and the total completion time. This NP-hard problem requires the use of well-adapted methods.…

Data Structures and Algorithms · Computer Science 2021-01-05 Adel Kacem , Abdelaziz Dammak

The performance of individual evolutionary optimization algorithms is mostly measured in terms of statistics such as mean, median and standard deviation etc., computed over the best solutions obtained with few trails of the algorithm. To…

Neural and Evolutionary Computing · Computer Science 2022-12-02 Anupam Biswas