3 papers
math.ST2026
Support Recovery and -Error Bound for Sparse Regression with Quadratic Measurements via Weakly-Convex-Concave Regularization
Jun Fan, Jingyu Yang, Xinyu Zhang +1
The recovery of unknown signals from quadratic measurements finds extensive applications in fields such as phase retrieval, power system state estimation, and unlabeled distance ge…
math.OC2025
A Fast and Convergent Algorithm for Unassigned Distance Geometry Problems
Jun Fan, Xiaoya Shan, Xianchao Xiu
In this paper, we propose a fast and convergent algorithm to solve unassigned distance geometry problems (uDGP). Technically, we construct a novel quadratic measurement model by le…
math.OC2025
Robust Sparse Phase Retrieval: Statistical Guarantee, Optimality Theory and Convergent Algorithm
Jun Fan, Ailing Yan, Xianchao Xiu +1
Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by n…