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Preprint Aug 2026

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

This work defines first-order residual depth saturation as the absence of a strict local decrease from every admissible insertion, and proves residual non-degeneracy is necessary and sufficient: additional depth has first-order value exactly when conditional activation gradients have a nonzero projection onto at least...

Ze-Yu Liu, Jin-Hao 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. · 0 citations

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