Matrix completion from a computational statistics perspective
Sign Up to like & getrecommendations! Published in 2019 at "Wiley Interdisciplinary Reviews: Computational Statistics"
DOI: 10.1002/wics.1469
Abstract: In the matrix completion problem, we seek to estimate the missing entries of a matrix from a small sample of the total number of entries in a matrix. While this task is hopeless in general,… read more here.
Keywords: statistics perspective; matrix completion; computational statistics; completion computational ... See more keywords
Matrix completion with nonconvex regularization: spectral operators and scalable algorithms
Sign Up to like & getrecommendations! Published in 2020 at "Statistics and Computing"
DOI: 10.1007/s11222-020-09939-5
Abstract: In this paper, we study the popularly dubbed matrix completion problem, where the task is to “fill in” the unobserved entries of a matrix from a small subset of observed entries, under the assumption that… read more here.
Keywords: completion; nonconvex regularization; matrix completion; low rank ... See more keywords
Parametrized quasi-soft thresholding operator for compressed sensing and matrix completion
Sign Up to like & getrecommendations! Published in 2020 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01176-w
Abstract: Compressed sensing and matrix completion are two new approaches to signal acquisition and processing. Even though the two approaches are different, there is a close connection between them. We introduce a parametrized quasi-soft thresholding operator… read more here.
Keywords: compressed sensing; sensing matrix; parametrized quasi; matrix completion ... See more keywords
Matrix completion for cost reduction in finite element simulations under hybrid uncertainties
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.12.014
Abstract: Abstract In recent years, uncertainty appears in different aspects of physical simulations including probabilistic boundary, stochastic loading, and multiscale modeling. Stretching across engineering domains and applied mathematics, uncertainty quantification is a multi-disciplinary field which is… read more here.
Keywords: matrix completion; reduction finite; cost reduction; cost ... See more keywords
An efficient technique for image compression and quality retrieval using matrix completion
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Computer and Information Sciences"
DOI: 10.1016/j.jksuci.2019.08.002
Abstract: Abstract In this paper, an efficient technique for image compression and quality retrieval using matrix completion is presented. The proposed technique is based on low-rank matrix completion using singular value truncation and thresholding. Here, an… read more here.
Keywords: matrix completion; compression; quality retrieval; image ... See more keywords
Riemannian gradient descent methods for graph-regularized matrix completion
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.06.010
Abstract: Abstract Low-rank matrix completion is the problem of recovering the missing entries of a data matrix by using the assumption that the true matrix admits a good low-rank approximation. Much attention has been given recently… read more here.
Keywords: matrix completion; completion; low rank; gradient descent ... See more keywords
Deep learning based matrix completion
Sign Up to like & getrecommendations! Published in 2017 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.05.074
Abstract: Abstract Previous matrix completion methods are generally based on linear and shallow models where the given incomplete matrices are of low-rank and the data are assumed to be generated by linear latent variable models. In… read more here.
Keywords: completion; deep learning; based matrix; matrix completion ... See more keywords
Matrix completion with capped nuclear norm via majorized proximal minimization
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2018.07.066
Abstract: Abstract We investigate the problem of matrix completion with capped nuclear norm regularization. Different from most existing regularizations that minimize all the singular values simultaneously, capped nuclear norm only penalties the singular values smaller than… read more here.
Keywords: nuclear norm; proximal minimization; minimization; matrix completion ... See more keywords
Toward Efficient Direct Dynamics Studies of Chemical Reactions: A Novel Matrix Completion Algorithm.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.2c00321
Abstract: This paper describes the development and testing of a polynomial variety-based matrix completion (PVMC) algorithm. Our goal is to reduce computational effort associated with reaction rate coefficient calculations using variational transition state theory with multidimensional… read more here.
Keywords: matrix completion; chemistry; direct dynamics; efficient direct ... See more keywords
Matrix completion based on Gaussian parameterized belief propagation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac21c9
Abstract: We develop a message-passing algorithm for noisy matrix completion problems based on matrix factorization. The algorithm is derived by approximating message distributions of belief propagation with Gaussian distributions that share the same first and second… read more here.
Keywords: matrix completion; message; belief propagation;
Drug repositioning based on multi-view learning with matrix completion.
Sign Up to like & getrecommendations! Published in 2022 at "Briefings in bioinformatics"
DOI: 10.1093/bib/bbac054
Abstract: Determining drug indications is a critical part of the drug development process. However, traditional drug discovery is expensive and time-consuming. Drug repositioning aims to find potential indications for existing drugs, which is considered as an… read more here.
Keywords: view learning; matrix completion; multi view; drug ... See more keywords