3 papers
math.OC2025
Heavy-ball dynamics with Hessian-driven damping for non-convex optimization under the Łojasiewicz condition
Vassilis Apidopoulos, Vasiliki Mavrogeorgou, Theodoros G. Tsironis
In this paper, we examine the convergence properties of heavy-ball dynamics with Hessian-driven damping in smooth non-convex optimization problems satisfying a Łojasiewicz conditio…
cs.LG2025
Landscape Complexity for the Empirical Risk of Generalized Linear Models: Discrimination between Structured Data
Theodoros G. Tsironis, Aris L. Moustakas
We use the Kac-Rice formula and results from random matrix theory to obtain the average number of critical points of a family of high-dimensional empirical loss functions, where th…
cond-mat.stat-mech2020
Random Möbius Maps: Distribution of Reflection in Non-Hermitian 1D Disordered Systems
Theodoros G. Tsironis, Aris L. Moustakas
Using the properties of random Möbius transformations, we investigate the statistical properties of the reflection coefficient in a random chain of lossy scatterers. We explicitly…