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cs.LG2026
An entropy formula for the Deep Linear Network
Govind Menon, Tianmin Yu
We study the Riemannian geometry of the Deep Linear Network (DLN) as a foundation for a thermodynamic description of the learning process. The main tools are the use of group actio…
cs.LG2026
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…