5 papers
Revisiting CUR Perturbation Analysis: A Local Tangent-Space Expansion
Longxiu Huang
CUR decompositions approximate a matrix using selected columns, rows, and their intersection. Classical CUR theory provides exactness results for low-rank matrices and perturbation…
Robust Spectral Recovery for Dynamical Sampling
HanQin Cai, Longxiu Huang, Tianming Wang +1
We study the spectral recovery problem for dynamical sampling on a finite cyclic grid. Given time snapshots obtained from a fixed uniform spatial subsampling of the orbit $x_{\ell}…
Randomized Space-Time Sampling for Affine Graph Dynamical Systems
Le Gong, Longxiu Huang
This paper investigates the problem of dynamical sampling for graph signals influenced by a constant source term. We consider signals evolving over time according to a linear dynam…
Random space-time sampling and reconstruction of sparse bandlimited graph diffusion field
Longxiu Huang, Dongyang Li, Sui Tang +1
In this work, we investigate the sampling and reconstruction of spectrally -sparse bandlimited graph signals governed by heat diffusion processes. We propose a random space-time…
Convolutional dynamical sampling and some new results
Longxiu Huang, A. Martina Neuman, Sui Tang +1
In this work, we explore the dynamical sampling problem on driven by a convolution operator defined by a convolution kernel. This problem is inspired by the ne…