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New Entropy Formula Unifies Deep Linear Networks Across Math Domains

By PulseAugur Editorial · [2 sources] ·

Researchers Menon and You have developed a unified entropy formula applicable to Deep Linear Networks (DLNs) across real, complex, and quaternionic domains. This work extends previous findings for real DLNs to encompass these more complex mathematical structures. The paper, submitted to arXiv, also highlights various associated tools and resources for accessing and analyzing the research. AI

RANK_REASON The cluster contains an academic paper published on arXiv detailing a new mathematical formula for Deep Linear Networks.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Luis Contreras, Marco Nahas, Tejas Kotwal ·

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

    arXiv:2606.16579v1 Announce Type: new 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 $\mathbb{H}$.

  2. arXiv cs.LG TIER_1 English(EN) · Tejas Kotwal ·

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

    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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