[PDF][PDF] Proof of Theorem 1 of “Two-snapshot DOA Estimation via Hankel-structured Matrix Completion”

M Bokaei, S Razavikia, A Amini - sharif.ir
Here, we prove Theorem 1 of the paper “Two-snapshot DOA Estimation via Hankel-
structured Matrix Completion”. For the sake of completeness. Let y∈ Cn be the ground-truth …

Matrix recovery from bilinear and quadratic measurements

M Pacholska, K Adam, A Scholefield… - arXiv preprint arXiv …, 2020 - arxiv.org
Matrix (or operator) recovery from linear measurements is a well-studied problem. However,
there are situations where only bilinear or quadratic measurements are available. A bilinear …

Tight oracle bounds for low-rank matrix recovery from a minimal number of random measurements

EJ Candes, Y Plan - arXiv preprint arXiv:1001.0339, 2010 - arxiv.org
This paper presents several novel theoretical results regarding the recovery of a low-rank
matrix from just a few measurements consisting of linear combinations of the matrix entries …

[PDF][PDF] 1-Bit matrix completion

Y PLAN, M WOOTTERS - scholar.archive.org
In this paper, we develop a theory of matrix completion for the extreme case of noisy 1-bit
observations. Instead of observing a subset of the real-valued entries of a matrix M, we …

Optimal schatten-q and ky-fan-k norm rate of low rank matrix estimation

D Xia - arXiv preprint arXiv:1403.6499, 2014 - arxiv.org
In this paper, we consider low rank matrix estimation using either matrix-version Dantzig
Selector $\hat {A} _ {\lambda}^ d $ or matrix-version LASSO estimator $\hat {A} _ {\lambda} …

Two-snapshot DOA estimation via Hankel-structured matrix completion

M Bokaei, S Razavikia, A Amini… - ICASSP 2022-2022 IEEE …, 2022 - ieeexplore.ieee.org
In this paper, we study the problem of estimating the direction of arrival (DOA) using a
sparsely sampled uniform linear array (ULA). Based on an initial incomplete ULA …

Accurate low-rank matrix recovery from a small number of linear measurements

EJ Candes, Y Plan - 2009 47th Annual Allerton Conference on …, 2009 - ieeexplore.ieee.org
We consider the problem of recovering a low-rank matrix M from a small number of random
linear measurements. A popular and useful example of this problem is matrix completion, in …

Analysis of low rank matrix recovery via Mendelson's small ball method

M Kabanava, H Rauhut… - … Conference on Sampling …, 2015 - ieeexplore.ieee.org
We study low rank matrix recovery from undersampled measurements via nuclear norm
minimization. We aim to recover an n 1 xn 2 matrix X from m measurements (Frobenius inner …

Near-optimal matrix recovery from random linear measurements

E Romanov, M Gavish - Proceedings of the National …, 2018 - National Acad Sciences
In matrix recovery from random linear measurements, one is interested in recovering an
unknown M-by-N matrix X 0 from n< MN measurements yi= T r (A i⊤ X 0), where each A i is …

1-bit matrix completion

MA Davenport, Y Plan, E Van Den Berg… - … and Inference: A …, 2014 - ieeexplore.ieee.org
In this paper, we develop a theory of matrix completion for the extreme case of noisy 1-bit
observations. Instead of observing a subset of the real-valued entries of a matrix M, we …