378 citations · 1.2k across the 40 of their papers we have counts for
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Optimal Spectral Initialization for Signal Recovery with Applications to Phase Retrieval
Wangyu Luo, Wael Alghamdi, Yue M. Lu
We present the optimal design of a spectral method widely used to initialize nonconvex optimization algorithms for solving phase retrieval and other signal recovery problems. Our w…
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview
Yuejie Chi, Yue M. Lu, Yuxin Chen
Substantial progress has been made recently on developing provably accurate and efficient algorithms for low-rank matrix factorization via nonconvex optimization. While conventiona…
Super Resolution Phase Retrieval for Sparse Signals
Gilles Baechler, Miranda Kreković, Juri Ranieri +3
In a variety of fields, in particular those involving imaging and optics, we often measure signals whose phase is missing or has been irremediably distorted. Phase retrieval attemp…
Streaming PCA and Subspace Tracking: The Missing Data Case
Laura Balzano, Yuejie Chi, Yue M. Lu
For many modern applications in science and engineering, data are collected in a streaming fashion carrying time-varying information, and practitioners need to process them with a…
MMSE Approximation For Sparse Coding Algorithms Using Stochastic Resonance
Dror Simon, Jeremias Sulam, Yaniv Romano +2
Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum…
Phase Retrieval via Polytope Optimization: Geometry, Phase Transitions, and New Algorithms
Oussama Dhifallah, Christos Thrampoulidis, Yue M. Lu
We study algorithms for solving quadratic systems of equations based on optimization methods over polytopes. Our work is inspired by a recently proposed convex formulation of the p…