English(EN) On the Entropy Formula for Real, Complex, and Quaternionic Deep Linear Networks

新的熵公式统一了跨数学域的深度线性网络

作者 PulseAugur 编辑部 · [2 个来源] · 2026-06-15 11:23

研究人员Menon和You开发了一个统一的熵公式，适用于实数、复数和四元数域的深度线性网络（DLNs）。这项工作将先前关于实数DLN的发现扩展到包含这些更复杂的数学结构。该论文已提交至arXiv，并提供了各种相关的工具和资源，用于访问和分析该研究。 AI

排序理由该集群包含一篇在arXiv上发表的学术论文，详细介绍了深度线性网络的新数学公式。

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arXiv cs.LG TIER_1 English(EN) · Luis Contreras, Marco Nahas, Tejas Kotwal · 2026-06-16 04:00

关于实数、复数和四元数深度线性网络的熵公式

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 $\mathbb{H}$.
arXiv cs.LG TIER_1 English(EN) · Tejas Kotwal · 2026-06-15 11:23

关于实数、复数和四元数深度线性网络的熵公式

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 $\mathbb{H}$.