128 citations · 540 across the 44 of their papers we have counts for
8 papers · 1 filter
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…
Optimized Structured Sparse Sensing Matrices for Compressive Sensing
Tao Hong, Xiao Li, Zhihui Zhu +1
We consider designing a robust structured sparse sensing matrix consisting of a sparse matrix with a few non-zero entries per row and a dense base matrix for capturing signals effi…
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…
Geometry of Factored Nuclear Norm Regularization
Qiuwei Li, Zhihui Zhu, Gongguo Tang
This work investigates the geometry of a nonconvex reformulation of minimizing a general convex loss function regularized by the matrix nuclear norm . Nuclear-norm…
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…