Title | ||
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Optimization-Based AMP for Phase Retrieval: The Impact of Initialization and $\ell_{2}$ Regularization. |
Abstract | ||
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We consider an ℓ2-regularized non-convex optimization problem for recovering signals from their noisy phaseless observations. We design and study the performance of a message passing algorithm that aims to solve this optimization problem. We consider the asymptotic setting m, n → ∞, m/n → δ and obtain sharp performance bounds, where m is the number of measurements and n is the signal dimension. We... |
Year | DOI | Venue |
---|---|---|
2019 | 10.1109/TIT.2019.2893254 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
Noise measurement,Optimization,Message passing,Iterative methods,Convex functions,Mean square error methods,Approximation algorithms | Discrete mathematics,Phase retrieval,Computer science,Algorithm,Regularization (mathematics),Initialization,Optimization problem,Message passing | Journal |
Volume | Issue | ISSN |
65 | 6 | 0018-9448 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Junjie Ma | 1 | 148 | 15.24 |
Ji Xu | 2 | 57 | 9.84 |
Arian Maleki | 3 | 803 | 57.52 |