Results 21 to 30 of about 8,528 (188)
IEEE Transactions on Evolutionary Computation, 2014 We present a new algorithm to calculate exact hypervolumes. Given a set of $d$-dimensional points, it computes the hypervolume of the dominated space. Determining this value is an important subroutine of Multiobjective Evolutionary Algorithms (MOEAs). We analyze the "Quick Hypervolume" (QHV) algorithm theoretically and experimentally.
Russo, Luís M. S. +1 more
openaire +2 more sources
Decomposing the Causes for Niche Differentiation Between Species Using Hypervolumes
Frontiers in Ecology and Evolution, 2020 Hutchinson’s n-dimensional hypervolume concept holds a central role across different fields of ecology and evolution. The question of the amount of hypervolume overlap and differentiation between species is of great interest to understand the processes ...
José Carlos Carvalho +4 more
doaj +1 more source
The Hypervolume Newton Method for Constrained Multi-Objective Optimization Problems
Mathematical and Computational Applications, 2023 Recently, the Hypervolume Newton Method (HVN) has been proposed as a fast and precise indicator-based method for solving unconstrained bi-objective optimization problems with objective functions.
Hao Wang +4 more
doaj +1 more source
Constructive Hypervolume Modeling
Graphical Models, 2001 Summary: This paper deals with modeling point sets with attributes. A point set in a geometric space of an arbitrary dimension is a geometric model of a real/abstract object or process under consideration. An attribute is a mathematical model of an object property of arbitrary nature (material, photometric, physical, statistical, etc.) defined at any ...
Pasko, A. +3 more
openaire +3 more sources
Quick extreme hypervolume contribution algorithm [PDF]
Proceedings of the Genetic and Evolutionary Computation Conference, 2021 We propose a new algorithm for the extreme hypervolume contributor/contribution problem, i.e. the problem of finding the point with minimum/maximum contribution to the hypervolume and (optionally) the value of this extreme contribution. Our algorithm is motivated by the Improved Quick Hypervolume (IQHV) which works in a divide and conquer manner, and ...
Andrzej Jaszkiewicz, Piotr Zielniewicz
openaire +1 more source
IEEE Access, 2018 One of the main disadvantages of evolutionary multi-objective algorithms (EMOAs) based on hypervolume is the computational cost of the hypervolume computation.
Adriana Menchaca-Mendez +2 more
doaj +1 more source
Improved quick hypervolume algorithm [PDF]
Computers & Operations Research, 2018 In this paper, we present a significant improvement of Quick Hypervolume algorithm, one of the state-of-the-art algorithms for calculating exact hypervolume of the space dominated by a set of d-dimensional points. This value is often used as a quality indicator in multiobjective evolutionary algorithms and other multiobjective metaheuristics and the ...
openaire +2 more sources
Scattering hypervolume for ultracold bosons from weak to strong interactions [PDF]
, 2019 The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$.
Colussi, V. E. +3 more
core +2 more sources
A Study of Archiving Strategies in Multi-Objective PSO for Molecular Docking [PDF]
, 2016 Molecular docking is a complex optimization problem aimed at predicting the position of a ligand molecule in the active site of a receptor with the lowest binding energy. This problem can be formulated as a bi-objective optimization problem by minimizing
A Sandoval-Perez +15 more
core +1 more source
Proposal and Comparative Study of Evolutionary Algorithms for Optimum Design of a Gear System [PDF]
, 2019 This paper proposes a novel metaheuristic framework using a Differential Evolution (DE) algorithm with the Non-dominated Sorting Genetic Algorithm-II (NSGA-II).
Frutos, Mariano +3 more
core +1 more source