Riesz s-energy-based Reference Sets for Multi-Objective optimization

Falcon-Cardona，Jesus Guillermo1; Ishibuchi，Hisao2; Coello，Carlos A.Coello1

10.1109/CEC48606.2020.9185833

2020-07-01

IEEE Congress on Evolutionary Computation (CEC) as part of the IEEE World Congress on Computational Intelligence (IEEE WCCI)

978-1-7281-6930-9

2020 IEEE Congress on Evolutionary Computation, CEC 2020 - Conference Proceedings

1-8

JUL 19-24, 2020

null,null,ELECTR NETWORK

345 E 47TH ST, NEW YORK, NY 10017 USA

IEEE

Currently, reference sets, which are a collection of feasible or infeasible points in objective space, are the backbone of several multi-objective evolutionary algorithms (MOEAs) and quality indicators (QIs). For both MOEAs and QIs, an important question is how to construct the reference set regardless of the dimensionality of the objective space, preserving well-diversified solutions. The Simplex-Lattice-Design method (SLD) that constructs a set of convex weights in a simplex, has been usually used to define reference sets. However, it is not a good option since Pareto fronts with irregular geometries cannot be completely intersected by the weight vectors. In this paper, we propose a tool based on the Riesz s-energy to generate reference sets exhibiting good diversity properties. Our experimental results support the Riesz s-energy-based reference sets as a better option due to their invariance to the Pareto front shape and the objective space dimensionality.

Multi-objective optimization reference sets Riesz s-energy

其他

英语

EI ; CPCI-S

CONACyT[1920] ; SEP-Cinvestav grant[4]

Computer Science ; Engineering ; Mathematical & Computational Biology ; Operations Research & Management Science

Computer Science, Artificial Intelligence ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic ; Mathematical & Computational Biology ; Operations Research & Management Science

WOS:000703998202090

20204109317213

Evolutionary algorithms

Optimization Techniques:921.5

2-s2.0-85092073631

Scopus

1.CINVESTAV-IPN,Computer Science Department,Mexico City,Mexico
2.Southern University of Science and Technology,Department of Computer Science and Engineering,Shenzhen,China

Falcon-Cardona，Jesus Guillermo,Ishibuchi，Hisao,Coello，Carlos A.Coello. Riesz s-energy-based Reference Sets for Multi-Objective optimization[C]. 345 E 47TH ST, NEW YORK, NY 10017 USA:IEEE,2020:1-8.