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cs.LG2026
A Theoretical Analysis of Generalization Dynamics in Neural Networks under Gradient Descent with Weight Decay
Yuqing Wang, Ioannis G. Kevrekidis, Mikhail Belkin
Understanding generalization remains a central challenge in machine learning because it requires jointly considering data, architecture, and training dynamics. In this paper, we de…
math.DS2026
Blow-up Parameter Landscapes for Polynomial Dynamical Systems
Emil Graf, Ioannis G. Kevrekidis, Alex Townsend
Finite-time blow-up is one of the ways in which a dynamical model can become singular, often signaling the breakdown of either the modeled physical system or the model itself. Dete…