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New bounds for deep residual networks analyzed as dynamical systems

Researchers have developed new compatible generalization bounds for deep residual networks (ResNets) by analyzing them as dynamical systems. This work focuses on ResNets with a wide range of activation functions in the deep-layer limit. The findings establish uniform generalization bounds that achieve an optimal sample rate of O(1/√S) for both discrete- and continuous-time ResNets, with a leading term independent of layer number. AI

IMPACT Establishes theoretical bounds for deep residual networks, potentially improving understanding and performance of deep learning models.

RANK_REASON The cluster contains a research paper detailing theoretical advancements in deep learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New bounds for deep residual networks analyzed as dynamical systems

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The cluster contains a research paper detailing theoretical advancements in deep learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jinshu Huang, Mingfei Sun, Chunlin Wu ·

    On Compatible Generalization Bounds of Deep Residual Networks From a Dynamical System Perspective

    arXiv:2602.20921v2 Announce Type: replace Abstract: Deep neural networks (DNNs) have significantly advanced machine learning, with model depth playing a central role in their successes. Deep residual networks (ResNets) fall into one of the most important classes of DNNs. In this …