Author

Xiang Gao

2 papers indexed here

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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

Open access 2026

Multi-State Recognition Method for Coal Mine Ventilation Systems via Abductive Learning

An abductive learning-based framework for multi-state recognition is proposed, integrating data-driven modeling with domain knowledge-guided reasoning in a unified cross-disciplinary approach, significantly outperforming traditional signal-processing methods, classical machine learning, and state-of-the-art multivariat...

Ming Li, Shuting Li, Xu Yang et al. · IEEE Access · 0 citations