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相关论文: An Easy-to-use Real-world Multi-objective Optimiza…

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Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

最优化与控制 · 数学 2024-12-12 Mengjia Zhu , Alberto Bemporad

The major difficulty in Multi-objective Optimization Evolutionary Algorithms (MOEAs) is how to find an appropriate solution that is able to converge towards the true Pareto Front with high diversity. Most existing methodologies, which have…

最优化与控制 · 数学 2020-04-30 Jeisson Prieto , Jonatan Gomez

Constrained Optimization solution algorithms are restricted to point based solutions. In practice, single or multiple objectives must be satisfied, wherein both the objective function and constraints can be non-convex resulting in multiple…

神经与进化计算 · 计算机科学 2021-01-05 Gurpreet Singh , Soumyajit Gupta , Matthew Lease

Bilevel optimization problems comprise an upper level optimization task that contains a lower level optimization task as a constraint. While there is a significant and growing literature devoted to solving bilevel problems with single…

神经与进化计算 · 计算机科学 2024-09-06 Bing Wang , Hemant K. Singh , Tapabrata Ray

Multi-objective optimization aims at finding trade-off solutions to conflicting objectives. These constitute the Pareto optimal set. In the context of expensive-to-evaluate functions, it is impossible and often non-informative to look for…

机器学习 · 统计学 2020-02-20 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

A common goal in evolutionary multi-objective optimization is to find suitable finite-size approximations of the Pareto front of a given multi-objective optimization problem. While many multi-objective evolutionary algorithms have proven to…

神经与进化计算 · 计算机科学 2024-09-26 Hao Wang , Angel E. Rodriguez-Fernandez , Lourdes Uribe , André Deutz , Oziel Cortés-Piña , Oliver Schütze

When developing and analyzing new hyperparameter optimization methods, it is vital to empirically evaluate and compare them on well-curated benchmark suites. In this work, we propose a new set of challenging and relevant benchmark problems…

机器学习 · 计算机科学 2022-08-02 Florian Pfisterer , Lennart Schneider , Julia Moosbauer , Martin Binder , Bernd Bischl

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…

机器学习 · 计算机科学 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

The development and identification of effective optimization algorithms for non-convex real-world problems is a challenge in global optimization. Because theoretical performance analysis is difficult, and problems based on models of…

最优化与控制 · 数学 2018-07-16 Ramses Sala , Niccolò Baldanzini , Marco Pierini

A multi-convex optimization problem is one in which the variables can be partitioned into sets over which the problem is convex when the other variables are fixed. Multi-convex problems are generally solved approximately using variations on…

最优化与控制 · 数学 2016-10-11 Xinyue Shen , Steven Diamond , Madeleine Udell , Yuantao Gu , Stephen Boyd

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…

人工智能 · 计算机科学 2026-04-13 Chao Jiang , Jingyu Huang , Miqing Li

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.…

神经与进化计算 · 计算机科学 2022-06-29 Moshe Sipper , Jason H. Moore , Ryan J. Urbanowicz

In this paper, we present the first outer approximation algorithm for multi-objective mixed-integer linear programming problems with any number of objectives. The algorithm also works for certain classes of non-linear programming problems.…

最优化与控制 · 数学 2022-05-04 Fritz Bökler , Sophie N. Parragh , Markus Sinnl , Fabien Tricoire

Real-world problems are often multi-objective with decision-makers unable to specify a priori which trade-off between the conflicting objectives is preferable. Intuitively, building machine learning solutions in such cases would entail…

机器学习 · 计算机科学 2021-10-20 Timo M. Deist , Monika Grewal , Frank J. W. M. Dankers , Tanja Alderliesten , Peter A. N. Bosman

This paper provides a novel framework for solving multiobjective discrete optimization problems with an arbitrary number of objectives. Our framework formulates these problems as network models, in that enumerating the Pareto frontier…

最优化与控制 · 数学 2018-09-06 David Bergman , Merve Bodur , Carlos Cardonha , Andre A. Cire

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

最优化与控制 · 数学 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

人工智能 · 计算机科学 2015-09-24 Shayan Poursoltan , Frank Neumann

In this paper, an evolutionary many-objective optimization algorithm based on corner solution search (MaOEA-CS) was proposed. MaOEA-CS implicitly contains two phases: the exploitative search for the most important boundary optimal solutions…

人工智能 · 计算机科学 2018-06-11 Xinye Cai , Haoran Sun , Chunyang Zhu , Zhenyu Li , Qingfu Zhang

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…

神经与进化计算 · 计算机科学 2015-08-04 Ka-Chun Wong

Optimizing nonlinear systems involving expensive computer experiments with regard to conflicting objectives is a common challenge. When the number of experiments is severely restricted and/or when the number of objectives increases,…

机器学习 · 统计学 2019-07-16 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert