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English(EN) Rank Collapse, Fixed Points, and the Renormalization Group Structure of MLP Residual Networks

MLP网络展现出量化的重整化群结构

研究人员已定量证明了深度神经网络前向传播与重整化群(RG)流之间的类比。他们对MLP残差网络的研究表明,残差流的有效秩随深度增加而减小,这表明无关数据被逐步整合。这种秩崩溃是选择性的,取决于输入分布的相关长度,并且网络仅保留相关的自由度。研究结果表明,MLP实现了一个由输入光谱结构决定的选择性粗粒化过程,网络的大部分运行接近一个不动点。 AI

影响 为理解MLP如何处理信息提供了一个量化框架,可能指导未来的架构设计。

排序理由 这是一篇详细介绍MLP网络内部工作机制新发现的研究论文。

在 Hugging Face Daily Papers 阅读 →

AI 生成摘要 · Google Gemini · 来自 3 个来源。 我们如何撰写摘要 →

报道来源 [3]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Rank Collapse, Fixed Points, and the Renormalization Group Structure of MLP Residual Networks

    The analogy between deep neural network forward passes and renormalization group (RG) flows has been repeatedly noted in the literature, but existing treatments remain qualitative: depth is described as a coarse-graining scale, attention is likened to a partition function, and re…

  2. arXiv stat.ML TIER_1 English(EN) · Parviz Haggi-Mani, Irina Rish ·

    Rank Collapse, Fixed Points, and the Renormalization Group Structure of MLP Residual Networks

    arXiv:2606.10324v1 Announce Type: cross Abstract: The analogy between deep neural network forward passes and renormalization group (RG) flows has been repeatedly noted in the literature, but existing treatments remain qualitative: depth is described as a coarse-graining scale, at…

  3. arXiv stat.ML TIER_1 English(EN) · Irina Rish ·

    MLP残差网络的秩坍缩、不动点和重整化群结构

    The analogy between deep neural network forward passes and renormalization group (RG) flows has been repeatedly noted in the literature, but existing treatments remain qualitative: depth is described as a coarse-graining scale, attention is likened to a partition function, and re…