134 citations · 644 across the 51 of their papers we have counts for
5 papers · 1 filter
A Preconditioned Riemannian Gradient Descent Algorithm for Low-Rank Matrix Recovery
Fengmiao Bian, Jian-Feng Cai, Rui Zhang
The low-rank matrix recovery problem often arises in various fields, including signal processing, machine learning, and imaging science. The Riemannian gradient descent (RGD) algor…
Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval
Ji Li, Jian-Feng Cai, Hongkai Zhao
We aim to find a solution to a system of quadratic equations of the form , , e.g., the well-known NP-har…
Fast Rank One Alternating Minimization Algorithm for Phase Retrieval
Jian-Feng Cai, Haixia Liu, Yang Wang
The phase retrieval problem is a fundamental problem in many fields, which is appealing for investigation. It is to recover the signal vector from a set…
Spectral Compressed Sensing via Projected Gradient Descent
Jian-Feng Cai, Tianming Wang, Ke Wei
Let be a spectrally sparse signal consisting of complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is abou…
A Singular Value Thresholding Algorithm for Matrix Completion
Jian-Feng Cai, Emmanuel J. Candes, Zuowei Shen
This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood a…