3 papers
math.OC2026
Riemannian Multilevel Optimization with Application to Constrained Energy Minimization Problems
Yara Elshiaty, Stefania Petra, Jonas Püschel +2
Multilevel optimization methods are highly effective for discretized energy minimization problems, but their Euclidean formulation does not directly apply to manifold constraints.…
math.OC2025
Multilevel Optimization: Geometric Coarse Models and Convergence Analysis
Ferdinand Vanmaele, Yara Elshiaty, Stefania Petra
We study multilevel techniques, commonly used in PDE multigrid literature, to solve structured optimization problems. For a given hierarchy of levels, we formulate a coarse model t…
math.OC2025
Information Geometry of Exponentiated Gradient: Convergence beyond L-Smoothness
Yara Elshiaty, Ferdinand Vanmaele, Stefania Petra
We study the minimization of smooth, possibly nonconvex functions over the positive orthant, a key setting in Poisson inverse problems, using the exponentiated gradient (EG) method…