An overview of weighted and unconstrained scalarizing functions

M Pescador-Rojas, R Hernández Gómez… - … Conference, EMO 2017 …, 2017 - Springer
Scalarizing functions play a crucial role in multi-objective evolutionary algorithms (MOEAs)
based on decomposition and the R2 indicator, since they guide the population towards …

Multi-objective deep learning: Taxonomy and survey of the state of the art

S Peitz, SS Hotegni - arxiv preprint arxiv:2412.01566, 2024 - arxiv.org
Simultaneously considering multiple objectives in machine learning has been a popular
approach for several decades, with various benefits for multi-task learning, the consideration …

[CARTE][B] Non-convex multi-objective optimization

Optimization is a very broad field of research with a wide spectrum of important applications.
Until the 1950s, optimization was understood as a single-objective optimization, ie, as the …

A method for constrained multiobjective optimization based on SQP techniques

J Fliege, AIF Vaz - SIAM Journal on Optimization, 2016 - SIAM
We propose a method for constrained and unconstrained nonlinear multiobjective
optimization problems that is based on an SQP-type approach. The proposed algorithm …

Multiobjective bilevel optimization

G Eichfelder - Mathematical Programming, 2010 - Springer
In this work nonlinear non-convex multiobjective bilevel optimization problems are
discussed using an optimistic approach. It is shown that the set of feasible points of the …

Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization

Q Hu, L Zhu, Y Chen - Computational Optimization and Applications, 2024 - Springer
Recently, Gonçalves and Prudente proposed an extension of the Hager–Zhang nonlinear
conjugate gradient method for vector optimization (Comput Optim Appl 76: 889–916, 2020) …

[CARTE][B] Variable ordering structures in vector optimization

G Eichfelder - 2014 - books.google.com
This book provides an introduction to vector optimization with variable ordering structures,
ie, to optimization problems with a vector-valued objective function where the elements in …

Multi-objective graph heuristic search for terrestrial robot design

J Xu, A Spielberg, A Zhao, D Rus… - 2021 IEEE international …, 2021 - ieeexplore.ieee.org
We present methods for co-designing rigid robots over control and morphology (including
discrete topology) over multiple objectives. Previous work has addressed problems in single …

[HTML][HTML] A survey on multiobjective descent methods

EH Fukuda, LMG Drummond - Pesquisa Operacional, 2014 - SciELO Brasil
We present a rigorous and comprehensive survey on extensions to the multicriteria setting of
three well-known scalar optimization algorithms. Multiobjective versions of the steepest …

A linear bound on the number of scalarizations needed to solve discrete tricriteria optimization problems

K Dächert, K Klamroth - Journal of Global Optimization, 2015 - Springer
Multi-objective optimization problems are often solved by a sequence of parametric single-
objective problems, so-called scalarizations. If the set of nondominated points is finite, the …