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math.DS2022
Matrix Measure Flows: A Novel Approach to Stable Plasticity in Neural Networks
Leo Kozachkov, Jean-Jacques Slotine
This letter introduces the notion of a matrix measure flow as a tool for analyzing the stability of neural networks with time-varying weights. Given a matrix flow -- for example, o…
cs.LG2022★ 3 cited
Generalization in Supervised Learning Through Riemannian Contraction
Leo Kozachkov, Patrick M. Wensing, Jean-Jacques Slotine
We prove that Riemannian contraction in a supervised learning setting implies generalization. Specifically, we show that if an optimizer is contracting in some Riemannian metric wi…