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Existing studies on dynamic multi-objective optimization focus on problems with time-dependent objective functions, while the ones with a changing number of objectives have rarely been considered in the literature. Instead of changing the…

Neural and Evolutionary Computing · Computer Science 2017-02-20 Renzhi Chen , Ke Li , Xin Yao

Multi-objective optimisation is regarded as one of the most promising ways for dealing with constrained optimisation problems in evolutionary optimisation. This paper presents a theoretical investigation of a multi-objective optimisation…

Neural and Evolutionary Computing · Computer Science 2015-02-13 Jun He , Yong Wang , Yuren Zhou

The aim of this literature is to illustrate the application of multi-objective optimization routines through a case study of face milling operation. For this purpose, the face milling operation is designed as a multi-objective optimization…

Optimization and Control · Mathematics 2023-01-24 Nazmul Hasan

The goal of multi-objective query optimization (MOQO) is to find query plans that realize a good compromise between conflicting objectives such as minimizing execution time and minimizing monetary fees in a Cloud scenario. A previously…

Databases · Computer Science 2014-04-02 Immanuel Trummer , Christoph Koch

We propose a multi-objective optimization algorithm aimed at achieving good anytime performance over a wide range of problems. Performance is assessed in terms of the hypervolume metric. The algorithm called HMO-CMA-ES represents a hybrid…

Neural and Evolutionary Computing · Computer Science 2016-05-10 Ilya Loshchilov , Tobias Glasmachers

Assessing the empirical performance of Multi-Objective Evolutionary Algorithms (MOEAs) is vital when we extensively test a set of MOEAs and aim to determine a proper ranking thereof. Multiple performance indicators, e.g., the generational…

Neural and Evolutionary Computing · Computer Science 2020-12-03 Hao Wang , Carlos Igncio Hernández Castellanos , Tome Eftimov

In contrast to Part I of this treatise [1] that focuses on the optimization problems associated with single matrix variables, in this paper, we investigate the application of the matrix-monotonic optimization framework in the optimization…

Information Theory · Computer Science 2021-02-24 Chengwen Xing , Shuai Wang , Sheng Chen , Shaodan Ma , H. Vincent Poor , Lajos Hanzo

Multi-objective learning (MOL) problems often arise in emerging machine learning problems when there are multiple learning criteria, data modalities, or learning tasks. Different from single-objective learning, one of the critical…

Machine Learning · Computer Science 2025-03-28 Lisha Chen , Heshan Fernando , Yiming Ying , Tianyi Chen

Multitasking optimization is a recently introduced paradigm, focused on the simultaneous solving of multiple optimization problem instances (tasks). The goal of multitasking environments is to dynamically exploit existing complementarities…

Artificial Intelligence · Computer Science 2020-05-19 Eneko Osaba , Aritz D. Martinez , Jesus L. Lobo , Ibai Laña , Javier Del Ser

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

We consider a multitask learning problem, in which several predictors are learned jointly. Prior research has shown that learning the relations between tasks, and between the input features, together with the predictor, can lead to better…

Machine Learning · Computer Science 2019-07-11 Han Zhao , Otilia Stretcu , Alex Smola , Geoff Gordon

A homotopy method for multi-objective optimization that produces uniformly sampled Pareto fronts by construction is presented. While the algorithm is general, of particular interest is application to simulation-based engineering…

Optimization and Control · Mathematics 2015-05-13 Andreas Adelmann , Peter Arbenz , Andrew Foster , Yves Ineichen

We study output-sensitive algorithms and complexity for multiobjective combinatorial optimization problems. In this computational complexity framework, an algorithm for a general enumeration problem is regarded efficient if it is…

Optimization and Control · Mathematics 2022-07-21 Fritz Bökler , Matthias Ehrgott , Christopher Morris , Petra Mutzel

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to…

Many combinatorial optimization problems entail a number of hierarchically dependent optimization problems. An often used solution is to associate a suitably large cost with each individual optimization problem, such that the solution of…

Logic in Computer Science · Computer Science 2009-04-02 Josep Argelich , Ines Lynce , Joao Marques-Silva

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

Machine Learning · Computer Science 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

Dynamic multi-objective optimization with a changing number of objectives has recently attracted increasing attention due to its relevance to real-world problems whose evaluation criteria may evolve over time. However, existing benchmark…

Neural and Evolutionary Computing · Computer Science 2026-05-26 Ke Shang , Zhiyun Xiao , Yuxuan Liu , Jianguo Li , Shaojiang Wang , Wei Sun

Many real-world applications require decision-makers to assess the quality of solutions while considering multiple conflicting objectives. Obtaining good approximation sets for highly constrained many-objective problems is often a difficult…

Artificial Intelligence · Computer Science 2025-08-13 Rodrigo Lankaites Pinheiro , Dario Landa-Silva , Wasakorn Laesanklang , Ademir Aparecido Constantino

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

Multitask learning has shown promising performance in many applications and many multitask models have been proposed. In order to identify an effective multitask model for a given multitask problem, we propose a learning framework called…

Machine Learning · Computer Science 2018-05-22 Yu Zhang , Ying Wei , Qiang Yang
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