41 citations · 158 across the 21 of their papers we have counts for
6 papers · 1 filter
Nonconvex Low-Rank Tensor Completion from Noisy Data
Changxiao Cai, Gen Li, H. Vincent Poor +1
We study a noisy tensor completion problem of broad practical interest, namely, the reconstruction of a low-rank tensor from highly incomplete and randomly corrupted observations o…
Subspace Estimation from Unbalanced and Incomplete Data Matrices: Statistical Guarantees
Changxiao Cai, Gen Li, Yuejie Chi +2
This paper is concerned with estimating the column space of an unknown low-rank matrix , given noisy and partial observatio…
Theory of Spectral Method for Union of Subspaces-Based Random Geometry Graph
Gen Li, Yuantao Gu
Spectral Method is a commonly used scheme to cluster data points lying close to Union of Subspaces by first constructing a Random Geometry Graph, called Subspace Clustering. This p…
Compressed Subspace Learning Based on Canonical Angle Preserving Property
Yuchen Jiao, Gen Li, Yuantao Gu
Union of Subspaces (UoS) is a popular model to describe the underlying low-dimensional structure of data. The fine details of UoS structure can be described in terms of canonical a…
Lower Bound for RIP Constants and Concentration of Sum of Top Order Statistics
Gen Li, Xingyu Xu, Yuantao Gu
Restricted Isometry Property (RIP) is of fundamental importance in the theory of compressed sensing and forms the base of many exact and robust recovery guarantees in this field. A…
Unraveling the Veil of Subspace RIP Through Near-Isometry on Subspaces
Xingyu Xv, Gen Li, Yuantao Gu
Dimensionality reduction is a popular approach to tackle high-dimensional data with low-dimensional nature. Subspace Restricted Isometry Property, a newly-proposed concept, has pro…