3 papers
cs.NE2025
Entropic Regularization in the Deep Linear Network
Alan Chen, Tejas Kotwal, Govind Menon
We study regularization for the deep linear network (DLN) using the entropy formula introduced in arXiv:2509.09088. The equilibria and gradient flow of the free energy on the Riema…
cs.LG2025
Regularization Implies balancedness in the deep linear network
Kathryn Lindsey, Govind Menon
We use geometric invariant theory (GIT) to study the deep linear network (DLN). The Kempf-Ness theorem is used to establish that the regularizer is minimized on the balanced…
cs.NE2024
The geometry of the deep linear network
Govind Menon
This article provides an expository account of training dynamics in the Deep Linear Network (DLN) from the perspective of the geometric theory of dynamical systems. Rigorous result…