Global Dynamics of Heavy-Tailed SGDs in Nonconvex Loss Landscape: Characterization and Control

arXiv — cs.LGMonday, October 27, 2025 at 4:00:00 AM
A new study explores the dynamics of stochastic gradient descent (SGD) in nonconvex loss landscapes, shedding light on its ability to avoid sharp local minima that hinder generalization. This research is crucial as it not only enhances our theoretical understanding of SGD but also aims to improve its performance in artificial intelligence applications. By addressing the gap between empirical success and theoretical knowledge, this work could lead to more robust AI systems, making it a significant contribution to the field.
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