26 citations · 32 across the 22 of their papers we have counts for
6 papers · 1 filter
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery
Junren Chen, Michael K. Ng, Di Wang
This paper studies the quantization of heavy-tailed data in some fundamental statistical estimation problems, where the underlying distributions have bounded moments of some order.…
Phase Retrieval of Quaternion Signal via Wirtinger Flow
Junren Chen, Michael K. Ng
The main aim of this paper is to study quaternion phase retrieval (QPR), i.e., the recovery of quaternion signal from the magnitude of quaternion linear measurements. We show that…
Uniform Exact Reconstruction of Sparse Signals and Low-rank Matrices from Phase-Only Measurements
Junren Chen, Michael K. Ng
In phase-only compressive sensing (PO-CS), our goal is to recover low-complexity signals (e.g., sparse signals, low-rank matrices) from the phase of complex linear measurements. Wh…
Error Bound of Empirical Risk Minimization for Noisy Standard and Generalized Phase Retrieval Problems
Junren Chen, Michael K. Ng
In this paper, we study the estimation performance of empirical risk minimization (ERM) in noisy (standard) phase retrieval (NPR) given by , or noi…
High Dimensional Statistical Estimation under Uniformly Dithered One-bit Quantization
Junren Chen, Cheng-Long Wang, Michael K. Ng +1
In this paper, we propose a uniformly dithered 1-bit quantization scheme for high-dimensional statistical estimation. The scheme contains truncation, dithering, and quantization as…
Color Image Inpainting via Robust Pure Quaternion Matrix Completion: Error Bound and Weighted Loss
Junren Chen, Michael K. Ng
In this paper, we study color image inpainting as a pure quaternion matrix completion problem. In the literature, the theoretical guarantee for quaternion matrix completion is not…