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routineTheory & OptimizationDeep Linear Network2606.16579

On the Entropy Formula for Real, Complex, and Quaternionic Deep Linear Networks

Luis Contreras, Marco Nahas, Tejas Kotwal

cs.LG math-ph math.DG

Abstract

We extend the entropy formula of Menon and Yu for the real Deep Linear Network (DLN) to its complex and quaternionic analogues, obtaining a unified formula for DLNs over $\mathbb{R}$, $\mathbb{C}$, and $\mathbb{H}$.

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Classified with taxonomy v2 on Wed, 2 Sept 2026.

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