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Feng Xie

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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
Jul 2026

Local Causal Structure Learning in the Presence of Latent Variables and Selection Bias

LoCaLS is proposed, a local causal structure learning algorithm that is sound and complete under standard assumptions and identifies the same direct causes and effects of a target variable as those identifiable by global causal discovery methods, while allowing for latent variables and selection bias.

Zheng Li, Hao Zhang, Ruxin Wang et al. · 1 citation

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