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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 →

MLP网络展现出量化的重整化群结构

报道来源 [3]

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

    MLP残差网络的秩坍缩、不动点与重整化群结构

    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…

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

    MLP残差网络的秩崩溃、不动点和重整化群结构

    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…