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English(EN) How the Hessian-Spectrum of Neural Networks Depends on Data

神经网络的Hessian谱与数据分布相关

作者 PulseAugur 编辑部 · [3 个来源] ·

一篇新发表在arXiv上的研究论文探讨了Hessian矩阵的谱与深度学习模型中使用的数据之间的关系。该研究推导了线性网络的特征值，揭示了对于具有MSE损失的分类任务，解的尖锐度直接与最大类别中的样本比例相关。这些发现得到了经验验证，并且即使在引入非线性后也显示出鲁棒性，将其适用性扩展到更实际的学习场景。 AI

影响 为深度学习优化和泛化提供了理论见解，可能为未来的模型设计提供信息。

排序理由 该集群包含一篇发表在arXiv上的研究论文，详细介绍了关于神经网络的理论和经验发现。

在 arXiv cs.LG 阅读 →

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

神经网络的Hessian谱与数据分布相关

报道来源 [3]

  1. arXiv cs.LG TIER_1 English(EN) · Jasraj Singh, Enea Monzio Compagnoni, Antonio Orvieto ·

    神经网络的Hessian谱如何依赖于数据

    arXiv:2607.13631v1 Announce Type: new Abstract: The Hessian matrix is an important quantity of interest when it comes to studying the loss landscape and optimization dynamics in deep learning, as well as designing measures of generalization, second-order learning algorithms, etc.…

  2. arXiv cs.LG TIER_1 English(EN) · Antonio Orvieto ·

    神经网络的Hessian谱如何依赖于数据

    The Hessian matrix is an important quantity of interest when it comes to studying the loss landscape and optimization dynamics in deep learning, as well as designing measures of generalization, second-order learning algorithms, etc. Prior works have focused on empirical results o…

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

    How the Hessian-Spectrum of Neural Networks Depends on Data

    The Hessian matrix is an important quantity of interest when it comes to studying the loss landscape and optimization dynamics in deep learning, as well as designing measures of generalization, second-order learning algorithms, etc. Prior works have focused on empirical results o…

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