3 papers
gr-qc2025
Volume-Distance-Ratio Asymptote and Spacetime Inextendibility for FLRW Spacetimes
Pengyu Le
This paper examines the volume-distance-ratio (VDR) asymptote at the past timelike boundary for Friedman-Lemaître-Robertson-Walker (FLRW) spacetimes. We consider spatially flat FLR…
gr-qc2025
Volume-Distance-Ratio Asymptote and Spacetime Inextendibility
Pengyu Le
This paper develops geometric criteria for determining the inextendibility of spacetimes near singularities based on asymptotic analysis of volume-distance relationships. We introd…
eess.IV2023
Robust Autoencoders for Collective Corruption Removal
Taihui Li, Hengkang Wang, Peng Le +2
Robust PCA is a standard tool for learning a linear subspace in the presence of sparse corruption or rare outliers. What about robustly learning manifolds that are more realistic m…