Acceleration of proximal gradiente methods

• Grant number: 24/22641-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2025
• End date: April 30, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Paulo José da Silva e Silva
• Grantee: Nicolas Esteban Fuentealba Armijo
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 23/08706-1 - Numerical optimization, AP.TEM

Abstract

The project focuses on proximal gradient methods, seeking to accelerate their convergence through spectral variants. The main objectives include exploring spectral methods for non-convex functions, identifying new competitive applications, and developing techniques that combine spectral strategies with inertia, aiming to optimize the resolution of minimization problems with complex regularizations.