Non-Linear Programming and Inverse Problems in Imaging

• Grant number: 25/13357-1
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2025
• End date: October 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Elias Salomão Helou Neto
• Grantee: Elias Salomão Helou Neto
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• City of the host institution: São Carlos
• Associated researchers: Cibele Maria Russo Novelli ; Eduardo Xavier Miqueles

Abstract

The rich mathematical framework that addresses the challenges of stable solutions to ill-posed inverse problems can find a fertile ground for development in the well-situated and dynamic city of São Carlos. With the aim of seizing this opportunity, the following proposal outlines an initiative to foster the creation of a research group in nonlinear optimization and inverse problems, thereby promoting the USP campus in this city as a hub of excellence in applied mathematics. The scientific foundation of the proposal is built on three pillars: (i) theory and practice of inverse problems, (ii) image reconstruction, and (iii) non-smooth and/or bilevel convex nonlinear optimization. (AU)