3 papers
math.OC2025
Sub-sampled Trust-Region Methods with Deterministic Worst-Case Complexity Guarantees
Max L. N. Goncalves, Geovani N. Grapiglia
In this paper, we develop and analyze sub-sampled trust-region methods for solving finite-sum optimization problems. These methods employ subsampling strategies to approximate the…
math.OC2025
A Relative Inexact Proximal Gradient Method with an Explicit Linesearch
Yunier Bello-Cruz, Max L. N. Gonçalves, Jefferson G. Melo +1
This paper presents and investigates an inexact proximal gradient method for solving composite convex optimization problems characterized by an objective function composed of a sum…
math.OC2024
Improved convergence rates for the multiobjective Frank-Wolfe method
Douglas S. Gonçalves, Max L. N. Gonçalves, Jefferson G. Melo
This paper analyzes the convergence rates of the {\it Frank-Wolfe } method for solving convex constrained multiobjective optimization. We establish improved convergence rates under…