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Matrix completion

Matrix completion is the task of filling in the missing entries of a partially observed matrix, which is equivalent to performing data imputation in statistics. A wide range of datasets are naturally organized in matrix form. One example is the movie-ratings matrix, as appears in the Netflix problem: Given a ratings matrix in which each entry ( i , j )…

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Algorithms for low-rank matrix completion

ConvexNormSingular valuesSDPBanach spaces
21 related topics

Overview

ImputationNetflix problemDocument-term matrixDegrees of freedomUnderdetermined
23 related topics

Applications

Collaborative filteringEuclidean space
2 related topics

Low rank matrix completion with noise

Optimization problemRestricted isometry property
2 related topics

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Overview

Low rank matrix completion with noise

High-rank matrix completion

Algorithms for low-rank matrix completion

Applications

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Map overview Semantic statistics

Matrix completion

Nodes55
Edges54
Triples80
Avg. degree1.96
Density0.036364
Components1

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Matrix completion

Top relations

related to Gradient descent · 17
Matrix completion → Bernoulli, Call, Further, Initialize, Keshavan, Let, Montanari, Oh, Project, Return, Set, Similarly, Solve, They, Tr, Trim, XSY
related to High-rank matrix completion · 9
Matrix completion → Balzano, CrN, Eriksson, However, Let, Nowak, NP-hard, Since, The
related to Collaborative filtering · 8
Matrix completion → Amazon, Apple, Barnes, Collaborative, Companies, In, Netflix, Noble
related to Gauss-Newton · 6
Matrix completion → Gauss, GNMR, Newton Matrix Recovery, Omega, Similar, UV
related to Alternating least squares minimization · 5
Matrix completion → Alternating, For, In, Netflix, UV
related to Discrete-aware matrix completion · 5
Matrix completion → An, Building, Discrete-aware, Führling, In
related to Internet of things (IoT) localization · 4
Matrix completion → Euclidean, IoT, The, Thus
related to Low rank matrix completion · 4
Matrix completion → Candès, One, Recht, The
related to Social networks recovery · 4
Matrix completion → Criminal, Low-rank Matrix Completion, Most, When
related to System identification · 4
Matrix completion → From, In, The, This

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Important terminology

displaystyle matrix problem entries completion rank observed low-rank convex one frac minimization number set log singular text order example relaxation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Matrix completionis atask of filling in the missing entries of a partially observed matrix0.90text
recommender systemsinstance ofparticularly when observations are sparse or the matrix is ill-conditioned.Discrete-aware matrix completionIn applications0.80text
where matrix entries are discreteinstance ofparticularly when observations are sparse or the matrix is ill-conditioned.Discrete-aware matrix completionIn applications0.80text
recommender systemsinstance ofDiscrete-aware matrix completionIn applications0.80text
where matrix entries are discreteinstance ofDiscrete-aware matrix completionIn applications0.80text
private nodesinstance ofwhich can be due to reasons0.80text
limited storage or compute resourcesinstance ofwhich can be due to reasons0.80text
we only have a fraction of distance entries knowninstance ofwhich can be due to reasons0.80text
Matrix completionhas applicationSeveral0.60section
Matrix completionhas applicationCandès0.60section
Matrix completionhas applicationPlan0.60section
Matrix completionrelated to Algorithms for low-rank matrix completionVarious0.60section

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