Author

Guan-Hong Chen

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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

2025

Dimensional Collapse in VQVAEs: Evidence and Remedies

This work identifies a surprising yet consistent phenomenon that it is identified: despite using high-dimensional embeddings, VQVAEs tend to compress their representations into a much smaller subspace, typically only 4 to 10 dimensions, and proposes Divide-and-Conquer VQ, which partitions the latent space into multiple...

Jiayou Zhang, Yifan Shen, Guan-Hong Chen et al. · Neural Information Processin... · 4 citations