Authors

Kang Liu

Publications 4

Preprint Open access

Learning from Hetero Density for Cryo-EM Protein Reconstruction

Xu Han, Chaozhuo Li, Xiaowei Yuan et al. · 2026

Reconstructing protein structures from cryo-electron microscopy (cryo-EM) maps is essential for understanding macromolecular assemblies. Although learning-based methods have improved protein reconstruction, information from hetero components remains underused. Our analysis finds both false predictions and reference pro …

Preprint Open access

Information Limits of Low-Rank Approximation Certification

Kang Liu, Bohao Qu · 2026

Low-rank approximation can require additional matrix--vector products to verify that its error meets a prescribed tolerance. We characterize this certification cost for both relative matrix error and mean-square output error. For a single approximation matrix candidate, we determine the exact dimension-uniform minimax …

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