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#artificial intelligence Preprint Sep 2026

Hessian Rank Constraint for Learning Structure of Nonlinear Latent Variable Models

A condition called the cross-Hessian Rank Constraint (HRC), which serves as a primitive rank-based tool for nonlinear latent causal discovery, shows that a rank-based property arises from the cross-Hessian of the observed-data log-density in the nonlinear case, revealing information about the latent variables.

Zijian Li, Ruichu Cai, Feng Xie et al. · 0 citations
#machine learning Preprint Sep 2026

Regional Explanations via Causal Sufficiency and Necessity

Model explainability is essential for understanding and trusting machine learning models. Existing explainable AI methods often explain predictions through feature importance, counterfactual explanations, or rules. However, a region-level characterization of when and only when a prediction behavior arises remains less...

Xuexin Chen, Peng Liang, Zijian Li et al. · 0 citations

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