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Research paper analyzes gradient issues in deep neural networks

A new research paper analyzes the phenomenon of exploding and vanishing gradients in deep neural networks, focusing on the impact of residual connections. The study utilizes multiplicative ergodic theory and a characterization of Liapunov exponents by Furstenberg and Kifer to provide a precise statement on the Liapunov spectrum and how residual connections affect it. AI

影响 Provides theoretical insights into deep neural network training dynamics, potentially informing future model architectures.

排序理由 The cluster contains a research paper published on arXiv detailing a theoretical analysis of deep neural network behavior.

在 arXiv cs.LG 阅读 →

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报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Vivek S Borkar ·

    Exploding and vanishing gradients in deep neural networks: the effect of residual connections

    arXiv:2606.17013v1 Announce Type: cross Abstract: The well known phenomenon of exploding and vanishing gradients in deep neural networks is analyzed using multiplicative ergodic theory. The effect of adding a residual connection is explained in this context. Specifically, a chara…

  2. arXiv cs.LG TIER_1 English(EN) · Vivek S Borkar ·

    Exploding and vanishing gradients in deep neural networks: the effect of residual connections

    The well known phenomenon of exploding and vanishing gradients in deep neural networks is analyzed using multiplicative ergodic theory. The effect of adding a residual connection is explained in this context. Specifically, a characterization of Liapunov exponents due to Furstenbe…