Sobre a convergência de métodos de descida em otimização não-suave: aplicações à ciência comportamental
In this work, we investigate four different types of descent methods: a dual descent method in the scalar context and a multiobjective proximal point methods (one exact and two inexact versions). The first one is restricted to functions that satisfy the Kurdyka-Lojasiewicz property, where it is used...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | Brasil |
| Institución: | Universidade Federal de Goiás (UFG) |
| Repositorio: | Repositório Institucional da UFG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.bc.ufg.br:tede/6864 |
| Acceso en línea: | http://repositorio.bc.ufg.br/tede/handle/tede/6864 |
| Access Level: | acceso abierto |
| Palabra clave: | Métodos de descida Propriedade Kurdyka-Lojasiewicz Otimização multiobjetivo Ciência comportamental Racionalidade variacional Método do ponto proximal Descent methods Kurdyka-Lojasiewicz property Multiobjective optimization Behavioral sciences Variational rationality Proximal point method CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Sumario: | In this work, we investigate four different types of descent methods: a dual descent method in the scalar context and a multiobjective proximal point methods (one exact and two inexact versions). The first one is restricted to functions that satisfy the Kurdyka-Lojasiewicz property, where it is used a quasi-distance as a regularization function. In the next three methods, the objective is to study the convergence of a multiobjective proximal methods (exact an inexact) for a particular class of multiobjective functions that are not necessarily differentiable. For the inexact methods, we choose a proximal distance as the regularization term. Such a well-known distance allows us to analyze the convergence of the method under various settings. Applications in behavioral sciences are analyzed in the sense of the variational rationality approach. |
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