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English(EN) On the Principles of Deep Feedforward ReLU Networks

新研究揭示深度ReLU网络和SGD训练动力学的奥秘

两篇新研究论文探讨了深度前馈ReLU网络的底层原理和训练动力学。第一篇论文深入研究了这些网络的机制,解释了隐藏层单元如何创建分段线性流形来划分输入空间,从而揭开了深度学习“黑箱”的神秘面纱。第二篇论文侧重于宽ReLU网络中随机梯度下降(SGD)的隐式偏差,揭示了尽管存在过度参数化,但学习到的预测器有效地坍缩为有限表示,其复杂度由数据的组合几何决定。 AI

影响 这些论文为ReLU网络的运作提供了理论见解,可能指导未来的架构设计和优化技术。

排序理由 两篇发表在arXiv上的学术论文,详细介绍了神经网络架构和训练的理论方面。

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新研究揭示深度ReLU网络和SGD训练动力学的奥秘

报道来源 [3]

  1. arXiv cs.AI TIER_1 English(EN) · Changcun Huang ·

    深度前馈ReLU网络原理

    arXiv:2607.07035v1 Announce Type: cross Abstract: The architecture of deep feedforward neural networks is ubiquitous in deep learning, either as a whole system or as a subnetwork of other architectures, and thus its mechanism is a key ingredient of the black box of neural network…

  2. arXiv cs.AI TIER_1 English(EN) · Changcun Huang ·

    深度前馈ReLU网络原理

    The architecture of deep feedforward neural networks is ubiquitous in deep learning, either as a whole system or as a subnetwork of other architectures, and thus its mechanism is a key ingredient of the black box of neural networks. On the basis of the simplest two-layer ReLU net…

  3. arXiv cs.LG TIER_1 English(EN) · Shuang Liang, Tom Jacobs, Guido Mont\'ufar ·

    SGD在多变量ReLU网络中的隐式偏差:有效宽度坍缩

    arXiv:2607.03613v1 Announce Type: new Abstract: We study the implicit bias of noisy stochastic gradient descent in training wide two-layer ReLU networks for multivariate regression. In a mean-field regime, the training dynamics are approximated by a Wasserstein gradient flow that…