Proximal point methods for multiobjective optimization in riemannian manifolds
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Publikationsdatum: | 2019 |
| Format: | Doctoral thesis |
| Sprache: | eng |
| Quelle: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/9410 |
Zusammenfassung: | In this work, two different proximal-type methods are investigated in the Riemannian context, namely, an exact and an inexact version. Two strategies were used to analyze these methods. For the exact version, we used a direct approach by investigating the regularized problem, not considering any convexity assumption over the constraint sets, that determine the vectorial improvement steps, which replaces the classical approach via scalarization. To study the inexact version, a definition of the approximate Pareto efficient solution is introduced. For the convex case on Hadamard manifolds, full convergence of both methods to a weak Pareto optimal point is obtained. |
Ähnliche Einträge: Proximal point methods for multiobjective optimization in riemannian manifolds
- Methods for vector optimization: trust region and proximal on riemannian manifolds and Newton with variable order
- Convergência do Método do Ponto Proximal para Funções que Satisfazem a Desigualdade de Łojasiewicz
- Conditional gradient methods for multiobjective optimization
- Sobre a convergência de métodos de descida em otimização não-suave: aplicações à ciência comportamental
- Optimization methods on Riemannian manifolds with lower bound curvature: gradient for scalar and multi-objective functions and subgradient for scalar functions
- Generalized vector equilibrium problems and algorithms for variational inequality in hadamard manifolds