In this paper, we explore the convenient Hankel structure and propose a novel nonconvex algorithm, coined Hankel structured gradient descent (HSGD), for large-scale robust Hankel matrix completion problems. HSGD is highly computing- and sample-efficient compared to the state of the art. The ...
Quasi-Hankel Low-Rank Matrix Completion: a Convex Relaxation The completion of matrices with missing values under the rank constraint is a non-convex optimization problem. A popular convex relaxation is based on minimization of the nuclear norm (sum of singular values) of the matrix. For this re...
Fast and provable algorithms for spectrally sparse signal reconstruction via low-rank Hankel matrix completion. Appl Comput Harmon Anal, 2019, 46: 94–121 Article MathSciNet Google Scholar Candès E J, Fernandez-Granda C. Super-resolution from noisy data. J Fourier Anal Appl, 2013, 19: 1229...
Fazel, M., Hindi, H., Boyd, S.P.: Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices. In: Proceedings of the 2003 American Control Conference, volume 3, pages 2156–2162. IEEE, (2003) Fischetti, M., Ljubić, I., Sinnl, M.: ...
Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices Proceedings of the 2003 American Control Conference, 2003, vol. 3 (2003), pp. 2156-2162 View in ScopusGoogle Scholar [45] Y. Liu, X. Yuan, J. Suo, D.J. Brady, Q. Dai Rank minimi...
scenariocanbeseenasak-spacematrixcompletionproblem.In2015, KongandYe[17]proposedconstructingalow-rank2D-Hankelmatrix Hformedbyk-space data. The idea originates from the fact that the sparsity of an MR image leads to the low-rankness of a matrix in the ...
Tensor completion using patch-wise high order Hankelization and randomized tensor ring initialization 2021, Engineering Applications of Artificial Intelligence Citation Excerpt : Matrix completion is the most traditional technique, which has been extensively researched and is capable of effectively and efficien...
low rank Hankel structured matrix completionspin echo inversion recoverymultiecho spin echoPurpose: MR parameter mapping is one of clinically valuable MR imaging techniques. However, increased scan time makes it difficult for routine clinical use. This article aims at developing an accelerated MR ...
Reference-free single-pass EPI Nyquist ghost correction using annihilating filter-based low rank Hankel Matrix (ALOHA) PurposeMR measurements from an echo-planar imaging (EPI) sequence produce Nyquist ghost artifacts that originate from inconsistencies between odd and even ... J Lee,KH Jin,JC Ye ...
Sparse representation and inversion have been widely used in the acquisition and processing of geophysical data. In particular, the low-rank representation of seismic signals shows that they can be determined by a few elementary modes with predominantly large singular values. We review global and loca...