128 citations · 540 across the 44 of their papers we have counts for
9 papers · 1 filter
Nonconvex Robust Low-rank Matrix Recovery
Xiao Li, Zhihui Zhu, Anthony Man-Cho So +1
In this paper we study the problem of recovering a low-rank matrix from a number of random linear measurements that are corrupted by outliers taking arbitrary values. We consider a…
ROAST: Rapid Orthogonal Approximate Slepian Transform
Zhihui Zhu, Santhosh Karnik, Michael B. Wakin +2
In this paper, we provide a Rapid Orthogonal Approximate Slepian Transform (ROAST) for the discrete vector that one obtains when collecting a finite set of uniform samples from a b…
Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation
Zhihui Zhu, Michael B. Wakin
Toeplitz operators are fundamental and ubiquitous in signal processing and information theory as models for linear, time-invariant (LTI) systems. Due to the fact that any practical…
On Collaborative Compressive Sensing Systems: The Framework, Design and Algorithm
Zhihui Zhu, Gang Li, Jiajun Ding +2
Based on the maximum likelihood estimation principle, we derive a collaborative estimation framework that fuses several different estimators and yields a better estimate. Applying…
The Eigenvalue Distribution of Discrete Periodic Time-Frequency Limiting Operators
Zhihui Zhu, Santhosh Karnik, Mark A. Davenport +2
Bandlimiting and timelimiting operators play a fundamental role in analyzing bandlimited signals that are approximately timelimited (or vice versa). In this paper, we consider a ti…
The Global Optimization Geometry of Low-Rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers general rank-constrained optimization problems that minimize a general objective function over the set of rectangular matrices that have ran…
Global Optimality in Low-rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers the minimization of a general objective function over the set of rectangular matrices that have rank at most . To reduce the computationa…
On the Asymptotic Equivalence of Circulant and Toeplitz Matrices
Zhihui Zhu, Michael B. Wakin
Any sequence of uniformly bounded Hermitian Toeplitz matrices is asymptotically equivalent to a certain sequence of circulant matrice…
Approximating Sampled Sinusoids and Multiband Signals Using Multiband Modulated DPSS Dictionaries
Zhihui Zhu, Michael B. Wakin
Many signal processing problems--such as analysis, compression, denoising, and reconstruction--can be facilitated by expressing the signal as a linear combination of atoms from a w…