Zobrazeno 1 - 10
of 46
pro vyhledávání: '"90C29, 90C30"'
Autor:
Bot, Radu Ioan, Sonntag, Konstantin
In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable c
Externí odkaz:
http://arxiv.org/abs/2411.18422
Over the past two decades, descent methods have received substantial attention within the multiobjective optimization field. Nonetheless, both theoretical analyses and empirical evidence reveal that existing first-order methods for multiobjective opt
Externí odkaz:
http://arxiv.org/abs/2411.07253
In this paper, we develop a unified framework and convergence analysis of first-order methods for vector optimization problems (VOPs) from a majorization-minimization perspective. By selecting different surrogate functions, the general method can be
Externí odkaz:
http://arxiv.org/abs/2407.13245
In this paper, a tunneling method is developed for nonlinear multi-objective optimization problems. The proposed method is free from any kind of priori chosen parameter or ordering information of objective functions. Using this method, global Pareto
Externí odkaz:
http://arxiv.org/abs/2407.04436
Autor:
Chen, Jian, Yang, Liping Tang. Xinmin
Nonlinear conjugate gradient methods have recently garnered significant attention within the multiobjective optimization community. These methods aim to maintain consistency in conjugate parameters with their single-objective optimization counterpart
Externí odkaz:
http://arxiv.org/abs/2405.07996
In this paper, we deal with batch Bayesian Optimization (Bayes-Opt) problems over a box and we propose a novel bi-objective optimization (BOO) acquisition strategy to sample points where to evaluate the objective function. The BOO problem involves th
Externí odkaz:
http://arxiv.org/abs/2402.00726
In this work, we provide some novel results that establish both the existence of Henig global proper efficient points and their density in the efficient set for vector optimization problems in arbitrary normed spaces. Our results do not require the a
Externí odkaz:
http://arxiv.org/abs/2401.10103
Autor:
Sonntag, Konstantin, Peitz, Sebastian
We present a new gradient-like dynamical system related to unconstrained convex smooth multiobjective optimization which involves inertial effects and asymptotic vanishing damping. To the best of our knowledge, this system is the first inertial gradi
Externí odkaz:
http://arxiv.org/abs/2307.00975
When minimizing a multiobjective optimization problem (MOP) using multiobjective gradient descent methods, the imbalances among objective functions often decelerate the convergence. In response to this challenge, we propose two types of the Barzilai-
Externí odkaz:
http://arxiv.org/abs/2306.09797
Autor:
Hoff, Daniel, Mehlitz, Patrick
This paper is concerned with the value function approach to multiobjective bilevel optimization which exploits a lower level frontier-type mapping in order to replace the hierarchical model of two interdependent multiobjective optimization problems b
Externí odkaz:
http://arxiv.org/abs/2303.15824