Low rank tensor deconvolution

AH Phan, P Tichavský… - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
… -R CP tensor decomposition. In general cases, we will show that this tensor deconvolution
can be expressed as the rank-(J1, J2, J3) block tensor decomposition [15] with Toeplitz factor …

Fast Unsupervised Tensor Restoration via Low-rank Deconvolution

D Reixach, JR Morros - arXiv preprint arXiv:2406.10679, 2024 - arxiv.org
Low-rank Deconvolution (LRD) has appeared as a new multi-dimensional representation
model that enjoys important efficiency and flexibility properties. In this work we ask ourselves if …

A low-rank approach to off-the-grid sparse deconvolution

P Catala, V Duval, G Peyré - Journal of Physics: Conference …, 2017 - iopscience.iop.org
deconvolution problem over the space of Radon measures. A common approach to off-the-grid
deconvolution … semidefinite lifting, which has low-rank solutions. Our second contribution …

Tensor networks for dimensionality reduction and large-scale optimization: Part 1 low-rank tensor decompositions

A Cichocki, N Lee, I Oseledets, AH Phan… - … and Trends® in …, 2016 - nowpublishers.com
… underlying low-rank approximations, tensor networks … low-rank tensor network decompositions
and easy to interpret graphical representations of the mathematical operations on tensor

Nonconvex low-rank tensor completion from noisy data

C Cai, G Li, HV Poor, Y Chen - Advances in neural …, 2019 - proceedings.neurips.cc
… The current paper uncovers the possibility of efficiently and stably completing a low-CP-rank
tensor from partial and noisy entries. Perhaps somewhat unexpectedly, despite the high …

Multi-dimensional signal recovery using low-rank deconvolution

D Reixach - ICASSP 2023-2023 IEEE International Conference …, 2023 - ieeexplore.ieee.org
Low-rank Deconvolution, a powerful framework for low-level … sparse coding and low-rank
approximation methods as in … convolved with a set of low-rank tensors. We show its advantages …

Sparse representations and low-rank tensor approximation

P Comon, LH Lim - 2011 - hal.science
… ABSTRACT: Approximating a tensor by another of lower rank is in general an ill posed …
both existence and uniqueness of the best low rank approximation. We then show how these …

Inference for low-rank tensors—no need to debias

D Xia, AR Zhang, Y Zhou - The Annals of Statistics, 2022 - projecteuclid.org
… for several low-rank tensor models. Specifically, in the Tucker low-rank tensor PCA or …
for the singular subspace of the parameter tensor based on the asymptotic distribution of an …

Weighted low-rank tensor recovery for hyperspectral image restoration

Y Chang, L Yan, XL Zhao, H Fang… - IEEE transactions on …, 2020 - ieeexplore.ieee.org
… ing of 2-D low rank is that it can only work in the presence of two-… tensor. To preserve the
structural information, we introduce the low-rank tensor recovery model to handle the tensor

Matrix and Tensor Completion with Noise via Low-rank Deconvolution

D Reixach, R Morros - openreview.net
Low-rank Deconvolution (LRD) has been recently introduced as a new representation
model for multi-dimensional data. In this work we consider its use for tackling the problem of …