26 citations · 32 across the 22 of their papers we have counts for
6 papers · 1 filter
Generalized Eigenvalue Problems with Generative Priors
Zhaoqiang Liu, Wen Li, Junren Chen
Generalized eigenvalue problems (GEPs) find applications in various fields of science and engineering. For example, principal component analysis, Fisher's discriminant analysis, an…
Robust Instance Optimal Phase-Only Compressed Sensing
Junren Chen, Michael K. Ng, Jonathan Scarlett
Phase-only compressed sensing (PO-CS) concerns the recovery of sparse signals from the phases of complex measurements. Recent results show that sparse signals in the standard spher…
Optimal Quantized Compressed Sensing via Projected Gradient Descent
Junren Chen, Ming Yuan
This paper provides a unified treatment to the recovery of structured signals living in a star-shaped set from general quantized measurements $\mathcal{Q}(\mathbf{A}\mathbf{x}-\mat…
One-Bit Phase Retrieval: Optimal Rates and Efficient Algorithms
Junren Chen, Ming Yuan
In this paper, we study the sample complexity and develop efficient optimal algorithms for 1-bit phase retrieval: recovering a signal from phaseless…
Uniform Recovery Guarantees for Quantized Corrupted Sensing Using Structured or Generative Priors
Junren Chen, Zhaoqiang Liu, Meng Ding +1
This paper studies quantized corrupted sensing where the measurements are contaminated by unknown corruption and then quantized by a dithered uniform quantizer. We establish unifor…
Exact Thresholds for Noisy Non-Adaptive Group Testing
Junren Chen, Jonathan Scarlett
In recent years, the mathematical limits and algorithmic bounds for probabilistic group testing have become increasingly well-understood, with exact asymptotic thresholds now being…