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Author

Fangmin Liu

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Preprint Aug 2026

Quantifying Depth Sufficiency in Residual Neural Networks: A First-Order Criterion

How can we determine whether a trained neural network is already deep enough? We study this under a fixed function-preserving residual-growth protocol specifying insertion locations, residual families, zero-output initializations, and zero-state first-order updates. We define first-order residual depth saturation as th...

Zeyu Liu, Jinhao Zhang, Yun-Quan Zhang et al. · 0 citations

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