---
references:
- id: AarabiMusic2018
  accessed:
    - year: 2019
      month: 2
      day: 25
  author:
    - family: Aarabi
      given: Hadrien Foroughmand
    - family: Peeters
      given: Geoffroy
  citation-key: AarabiMusic2018
  collection-title: AM'18
  container-title: Proceedings of the Audio Mostly 2018 on Sound in Immersion and Emotion
  DOI: 10.1145/3243274.3243299
  event-place: Wrexham, United Kingdom
  ISBN: 978-1-4503-6609-0
  issued:
    - year: 2018
  page: 27:1–27:7
  publisher: ACM
  publisher-place: New York, NY, USA
  title: 'Music Retiler: Using NMF2D Source Separation for Audio Mosaicing'
  type: paper-conference

- id: AbdallahPolyphonic2004
  accessed:
    - year: 2016
      month: 7
      day: 19
  author:
    - family: Abdallah
      given: Samer A.
    - family: Plumbley
      given: Mark D.
  citation-key: AbdallahPolyphonic2004
  event-title: ISMIR
  issued:
    - year: 2004
  title: >-
    Polyphonic Music Transcription by Non-Negative Sparse Coding of Power
    Spectra
  type: paper-conference
  URL: http://ismir2004.ismir.net/proceedings/p058-page-318-paper216.pdf

- id: AchlioptasDatabasefriendly2003
  accessed:
    - year: 2014
      month: 5
      day: 15
  author:
    - family: Achlioptas
      given: Dimitris
  citation-key: AchlioptasDatabasefriendly2003
  collection-title: Special Issue on PODS 2001
  container-title: Journal of Computer and System Sciences
  container-title-short: Journal of Computer and System Sciences
  DOI: 10.1016/S0022-0000(03)00025-4
  ISSN: 0022-0000
  issue: '4'
  issued:
    - year: 2003
      month: 6
  page: 671-687
  title: >-
    Database-friendly random projections: Johnson-Lindenstrauss with binary
    coins
  type: article-journal
  volume: '66'

- id: AghasiNetTrim2016
  author:
    - family: Aghasi
      given: Alireza
    - family: Nguyen
      given: Nam
    - family: Romberg
      given: Justin
  citation-key: AghasiNetTrim2016
  container-title: arXiv:1611.05162 [cs, stat]
  issued:
    - year: 2016
      month: 11
      day: 16
  title: 'Net-Trim: A Layer-wise Convex Pruning of Deep Neural Networks'
  type: article-journal
  URL: http://arxiv.org/abs/1611.05162

- id: AkimotoFast2017
  accessed:
    - year: 2023
      month: 4
      day: 7
  author:
    - family: Akimoto
      given: Youhei
  citation-key: AkimotoFast2017
  DOI: 10.48550/arXiv.1706.02069
  issued:
    - year: 2017
      month: 6
      day: 7
  number: arXiv:1706.02069
  publisher: arXiv
  title: Fast Eigen Decomposition for Low-Rank Matrix Approximation
  type: article
  URL: http://arxiv.org/abs/1706.02069

- id: AmeliSingular2023
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Ameli
      given: Siavash
    - family: Shadden
      given: Shawn C.
  citation-key: AmeliSingular2023
  container-title: Applied Mathematics and Computation
  container-title-short: Applied Mathematics and Computation
  DOI: 10.1016/j.amc.2023.128032
  ISSN: '00963003'
  issued:
    - year: 2023
      month: 4
  language: en
  page: '128032'
  title: >-
    A Singular Woodbury and Pseudo-Determinant Matrix Identities and Application
    to Gaussian Process Regression
  type: article-journal
  URL: http://arxiv.org/abs/2207.08038
  volume: '452'

- id: AngAccelerating2018
  accessed:
    - year: 2019
      month: 4
      day: 9
  author:
    - family: Ang
      given: Andersen Man Shun
    - family: Gillis
      given: Nicolas
  citation-key: AngAccelerating2018
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/neco_a_01157
  ISSN: 0899-7667
  issue: '2'
  issued:
    - year: 2018
      month: 5
      day: 17
  language: en
  page: 417-439
  title: Accelerating Nonnegative Matrix Factorization Algorithms using Extrapolation
  type: article-journal
  URL: https://arxiv.org/abs/1805.06604v2
  volume: '31'

- id: AroraPractical2012
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Arora
      given: Sanjeev
    - family: Ge
      given: Rong
    - family: Halpern
      given: Yoni
    - family: Mimno
      given: David
    - family: Moitra
      given: Ankur
    - family: Sontag
      given: David
    - family: Wu
      given: Yichen
    - family: Zhu
      given: Michael
  citation-key: AroraPractical2012
  container-title: arXiv:1212.4777 [cs, stat]
  issued:
    - year: 2012
      month: 12
      day: 19
  title: A Practical Algorithm for Topic Modeling with Provable Guarantees
  type: article-journal
  URL: http://arxiv.org/abs/1212.4777

- id: AttiasInferring1999
  accessed:
    - year: 2022
      month: 2
      day: 3
  author:
    - family: Attias
      given: Hagai
  citation-key: AttiasInferring1999
  collection-title: UAI'99
  container-title: >-
    Proceedings of the Fifteenth conference on Uncertainty in artificial
    intelligence
  event-place: San Francisco, CA, USA
  ISBN: 978-1-55860-614-2
  issued:
    - year: 1999
      month: 7
      day: 30
  page: 21–30
  publisher: Morgan Kaufmann Publishers Inc.
  publisher-place: San Francisco, CA, USA
  title: >-
    Inferring parameters and structure of latent variable models by variational
    bayes
  type: paper-conference
  URL: https://arxiv.org/abs/1301.6676v1

- id: BabacanSparse2012
  accessed:
    - year: 2022
      month: 2
      day: 4
  author:
    - family: Babacan
      given: S. Derin
    - family: Luessi
      given: Martin
    - family: Molina
      given: Rafael
    - family: Katsaggelos
      given: Aggelos K.
  citation-key: BabacanSparse2012
  container-title: IEEE Transactions on Signal Processing
  container-title-short: IEEE Trans. Signal Process.
  DOI: 10.1109/TSP.2012.2197748
  ISSN: 1053-587X, 1941-0476
  issue: '8'
  issued:
    - year: 2012
      month: 8
  language: en
  page: 3964-3977
  title: Sparse Bayesian Methods for Low-Rank Matrix Estimation
  type: article-journal
  volume: '60'

- id: BachConvex2013
  accessed:
    - year: 2016
      month: 10
      day: 26
  author:
    - family: Bach
      given: Francis
  citation-key: BachConvex2013
  container-title: arXiv:1309.3117 [cs, math]
  issued:
    - year: 2013
      month: 9
      day: 12
  title: Convex relaxations of structured matrix factorizations
  type: article-journal
  URL: http://arxiv.org/abs/1309.3117

- id: BachKernel2002
  author:
    - family: Bach
      given: Francis R
    - family: Jordan
      given: Michael I
  citation-key: BachKernel2002
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2002
      month: 7
  language: en
  page: '48'
  title: Kernel Independent Component Analysis
  type: article-journal
  volume: '3'

- id: BachOptimization2011
  archive: Calibre
  author:
    - family: Bach
      given: Francis
    - family: Jenatton
      given: Rodolphe
    - family: Mairal
      given: Julien
  citation-key: BachOptimization2011
  collection-number: '1.0'
  collection-title: Foundations and Trends(r) in Machine Learning
  DOI: 10.1561/2200000015
  ISBN: 978-1-60198-510-1
  issued:
    - year: 2011
      month: 12
      day: 23
  language: eng
  publisher: Now Publishers Inc
  title: Optimization With Sparsity-Inducing Penalties
  type: book
  URL: https://hal.inria.fr/hal-00613125v1/document

- id: BachRandomized2019
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Bach
      given: C
    - family: Ceglia
      given: D.
    - family: Song
      given: L.
    - family: Duddeck
      given: F.
  citation-key: BachRandomized2019
  container-title: International Journal for Numerical Methods in Engineering
  DOI: 10.1002/nme.6009
  ISSN: 1097-0207
  issue: '4'
  issued:
    - year: 2019
  language: en
  page: 209-241
  title: >-
    Randomized low-rank approximation methods for projection-based model order
    reduction of large nonlinear dynamical problems
  type: article-journal
  volume: '118'

- id: BachSharp2013
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Bach
      given: Francis R.
  citation-key: BachSharp2013
  container-title: COLT
  issued:
    - year: 2013
  page: 185–209
  title: Sharp analysis of low-rank kernel matrix approximations.
  type: paper-conference
  URL: http://www.jmlr.org/proceedings/papers/v30/Bach13.pdf
  volume: '30'

- id: BaggeCarlsonMachine2018
  accessed:
    - year: 2020
      month: 6
      day: 18
  author:
    - family: Bagge Carlson
      given: Fredrik
  citation-key: BaggeCarlsonMachine2018
  genre: thesis/docmono
  ISBN: 9789177539209 9789177539216
  ISSN: 0280-5316
  issued:
    - year: 2018
  language: eng
  publisher: Lund University
  title: >-
    Machine Learning and System Identification for Estimation in Physical
    Systems
  type: thesis
  URL: http://lup.lub.lu.se/record/ffb8dc85-ce12-4f75-8f2b-0881e492f6c0

- id: BarbierLayered2017
  accessed:
    - year: 2018
      month: 1
      day: 15
  author:
    - family: Barbier
      given: Jean
    - family: Macris
      given: Nicolas
    - family: Miolane
      given: Léo
  citation-key: BarbierLayered2017
  container-title: arXiv:1709.10368 [cond-mat, physics:math-ph]
  issued:
    - year: 2017
      month: 9
      day: 29
  title: The Layered Structure of Tensor Estimation and its Mutual Information
  type: article-journal
  URL: http://arxiv.org/abs/1709.10368

- id: BardenetNote2015
  author:
    - family: Bardenet
      given: Rémi
    - family: Maillard
      given: Odalric-Ambrym
  citation-key: BardenetNote2015
  issued:
    - year: 2015
  language: en
  title: >-
    A note on replacing uniform subsampling by random projections in MCMC for
    linear regression of tall datasets
  type: article-journal
  URL: https://hal.science/hal-01248841/

- id: BatsonTwiceRamanujan2008
  accessed:
    - year: 2016
      month: 4
      day: 29
  author:
    - family: Batson
      given: Joshua
    - family: Spielman
      given: Daniel A.
    - family: Srivastava
      given: Nikhil
  citation-key: BatsonTwiceRamanujan2008
  container-title: arXiv:0808.0163 [cs]
  issued:
    - year: 2008
      month: 8
      day: 1
  title: Twice-Ramanujan Sparsifiers
  type: article-journal
  URL: http://arxiv.org/abs/0808.0163

- id: BauckhageKMeans2015
  accessed:
    - year: 2016
      month: 1
      day: 4
  author:
    - family: Bauckhage
      given: Christian
  citation-key: BauckhageKMeans2015
  container-title: arXiv:1512.07548 [stat]
  issued:
    - year: 2015
      month: 12
      day: 23
  title: k-Means Clustering Is Matrix Factorization
  type: article-journal
  URL: http://arxiv.org/abs/1512.07548

- id: BerryAlgorithms2007
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Berry
      given: Michael W.
    - family: Browne
      given: Murray
    - family: Langville
      given: Amy N.
    - family: Pauca
      given: V. Paul
    - family: Plemmons
      given: Robert J.
  citation-key: BerryAlgorithms2007
  container-title: Computational Statistics & Data Analysis
  container-title-short: Computational Statistics & Data Analysis
  DOI: 10.1016/j.csda.2006.11.006
  ISSN: 0167-9473
  issue: '1'
  issued:
    - year: 2007
      month: 9
      day: 15
  page: 155-173
  title: Algorithms and applications for approximate nonnegative matrix factorization
  type: article-journal
  URL: http://users.wfu.edu/plemmons/papers/BBLPP-rev.pdf
  volume: '52'

- id: BertinEnforcing2010
  author:
    - family: Bertin
      given: N.
    - family: Badeau
      given: R.
    - family: Vincent
      given: E.
  citation-key: BertinEnforcing2010
  container-title: IEEE Transactions on Audio, Speech, and Language Processing
  DOI: 10.1109/TASL.2010.2041381
  ISSN: 1558-7916
  issue: '3'
  issued:
    - year: 2010
      month: 3
  page: 538-549
  title: >-
    Enforcing Harmonicity and Smoothness in Bayesian Non-Negative Matrix
    Factorization Applied to Polyphonic Music Transcription
  type: article-journal
  URL: http://www.ime.usp.br/~jstern/miscellanea/seminario/Bertin10.pdf
  volume: '18'

- id: BhardwajNoncommutative2021
  accessed:
    - year: 2023
      month: 3
      day: 7
  author:
    - family: Bhardwaj
      given: Abhishek
    - family: Klep
      given: Igor
    - family: Magron
      given: Victor
  citation-key: BhardwajNoncommutative2021
  issued:
    - year: 2021
      month: 9
      day: 2
  language: en
  number: arXiv:2109.00786
  publisher: arXiv
  title: Noncommutative Polynomial Optimization
  type: article
  URL: http://arxiv.org/abs/2109.00786

- id: BrandFast2006
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Brand
      given: Matthew
  citation-key: BrandFast2006
  collection-title: Special Issue on Large Scale Linear and Nonlinear Eigenvalue Problems
  container-title: Linear Algebra and its Applications
  container-title-short: Linear Algebra and its Applications
  DOI: 10.1016/j.laa.2005.07.021
  ISSN: 0024-3795
  issue: '1'
  issued:
    - year: 2006
      month: 5
      day: 1
  language: en
  page: 20-30
  title: Fast low-rank modifications of the thin singular value decomposition
  type: article-journal
  volume: '415'

- id: BrandIncremental2002
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Brand
      given: Matthew
  citation-key: BrandIncremental2002
  collection-editor:
    - family: Goos
      given: Gerhard
    - family: Hartmanis
      given: Juris
    - family: Leeuwen
      given: Jan
      non-dropping-particle: van
  container-title: Computer Vision — ECCV 2002
  DOI: 10.1007/3-540-47969-4_47
  editor:
    - family: Heyden
      given: Anders
    - family: Sparr
      given: Gunnar
    - family: Nielsen
      given: Mads
    - family: Johansen
      given: Peter
  event-place: Berlin, Heidelberg
  ISBN: 978-3-540-43745-1 978-3-540-47969-7
  issued:
    - year: 2002
  language: en
  page: 707-720
  publisher: Springer Berlin Heidelberg
  publisher-place: Berlin, Heidelberg
  title: >-
    Incremental Singular Value Decomposition of Uncertain Data with Missing
    Values
  type: paper-conference
  URL: https://www.merl.com/publications/docs/TR2002-24.pdf
  volume: '2350'

- id: BrouwerBayesian2017
  author:
    - family: Brouwer
      given: Thomas Alexander
  citation-key: BrouwerBayesian2017
  issued:
    - year: 2017
  language: en
  title: 'Bayesian matrix factorisation: inference, priors, and data integration'
  type: thesis
  URL: https://aspace.repository.cam.ac.uk/handle/1810/269921

- id: BrucksteinSparse2008
  author:
    - family: Bruckstein
      given: A. M.
    - family: Elad
      given: Michael
    - family: Zibulevsky
      given: M.
  citation-key: BrucksteinSparse2008
  container-title: >-
    3rd International Symposium on Communications, Control and Signal
    Processing, 2008. ISCCSP 2008
  DOI: 10.1109/ISCCSP.2008.4537325
  event-title: >-
    3rd International Symposium on Communications, Control and Signal
    Processing, 2008. ISCCSP 2008
  issued:
    - year: 2008
      month: 3
  page: 762-767
  title: Sparse non-negative solution of a linear system of equations is unique
  type: paper-conference
  URL: >-
    http://www.cs.technion.ac.il/~elad/publications/conferences/2008/ISCCSP_2008.pdf

- id: BrucksteinUniqueness2008
  author:
    - family: Bruckstein
      given: A. M.
    - family: Elad
      given: Michael
    - family: Zibulevsky
      given: M.
  citation-key: BrucksteinUniqueness2008
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2008.929920
  ISSN: 0018-9448
  issue: '11'
  issued:
    - year: 2008
      month: 11
  page: 4813-4820
  title: >-
    On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems
    of Equations
  type: article-journal
  URL: >-
    http://www.cs.technion.ac.il/~elad/publications/journals/2007/Non-Negative-IEEE-TIT.pdf
  volume: '54'

- id: BuchNiMFKS2017
  author:
    - family: Buch
      given: Michael
    - family: Quinton
      given: Elio
    - family: Sturm
      given: Bob L
  citation-key: BuchNiMFKS2017
  container-title: Proceedings of the 20th International Conference on Digital Audio Effects
  event-place: Edinburgh
  event-title: 20th International Conference on Digital Audio Effects (DAFx-17)
  issued:
    - year: 2017
  language: en
  page: '7'
  publisher-place: Edinburgh
  title: >-
    NichtnegativeMatrixFaktorisierungnutzendesKlangsynthesenSystem (NiMFKS):
    Extensions of NMF-based concatenative sound synthesis
  type: paper-conference

- id: BunchUpdating1978
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Bunch
      given: James R.
    - family: Nielsen
      given: Christopher P.
  citation-key: BunchUpdating1978
  container-title: Numerische Mathematik
  container-title-short: Numer. Math.
  DOI: 10.1007/BF01397471
  ISSN: 0945-3245
  issue: '2'
  issued:
    - year: 1978
      month: 6
      day: 1
  language: en
  page: 111-129
  title: Updating the singular value decomposition
  type: article-journal
  volume: '31'

- id: CaetanoMusical2013
  author:
    - family: Caetano
      given: Marcelo
    - family: Rodet
      given: Xavier
  citation-key: CaetanoMusical2013
  container-title: IEEE Transactions on Audio, Speech, and Language Processing
  DOI: 10.1109/TASL.2013.2260154
  ISSN: 1558-7916
  issue: '8'
  issued:
    - year: 2013
      month: 8
  number: '8'
  page: 1666-1675
  title: Musical Instrument Sound Morphing Guided by Perceptually Motivated Features
  type: article-journal
  URL: http://articles.ircam.fr/textes/Caetano13a/index.pdf
  volume: '21'

- id: CaoDetect2007
  accessed:
    - year: 2023
      month: 4
      day: 20
  author:
    - family: Cao
      given: Bin
    - family: Shen
      given: Dou
    - family: Sun
      given: Jian-Tao
    - family: Wang
      given: Xuanhui
    - family: Yang
      given: Qiang
    - family: Chen
      given: Zheng
  citation-key: CaoDetect2007
  collection-title: IJCAI'07
  container-title: >-
    Proceedings of the 20th international joint conference on Artifical
    intelligence
  event-place: San Francisco, CA, USA
  issued:
    - year: 2007
      month: 1
      day: 6
  page: 2689–2694
  publisher: Morgan Kaufmann Publishers Inc.
  publisher-place: San Francisco, CA, USA
  title: Detect and track latent factors with online nonnegative matrix factorization
  type: paper-conference
  URL: https://er2004.cse.ust.hk/~qyang/Docs/2007/ijcai07.Cao.pdf

- id: Carabias-OrtiMusical2011
  author:
    - family: Carabias-Orti
      given: J. J.
    - family: Virtanen
      given: T.
    - family: Vera-Candeas
      given: P.
    - family: Ruiz-Reyes
      given: N.
    - family: Canadas-Quesada
      given: F. J.
  citation-key: Carabias-OrtiMusical2011
  container-title: IEEE Journal of Selected Topics in Signal Processing
  DOI: 10.1109/JSTSP.2011.2159700
  ISSN: 1932-4553
  issue: '6'
  issued:
    - year: 2011
      month: 10
  page: 1144-1158
  title: >-
    Musical Instrument Sound Multi-Excitation Model for Non-Negative Spectrogram
    Factorization
  type: article-journal
  volume: '5'

- id: ChenHarnessing2018
  author:
    - family: Chen
      given: Yudong
    - family: Chi
      given: Yuejie
  citation-key: ChenHarnessing2018
  container-title: IEEE Signal Processing Magazine
  DOI: 10.1109/MSP.2018.2821706
  ISSN: 1558-0792
  issue: '4'
  issued:
    - year: 2018
      month: 7
  page: 14-31
  title: >-
    Harnessing Structures in Big Data via Guaranteed Low-Rank Matrix Estimation:
    Recent Theory and Fast Algorithms via Convex and Nonconvex Optimization
  type: article-journal
  URL: http://arxiv.org/abs/1802.08397
  volume: '35'

- id: ChiNonconvex2019
  accessed:
    - year: 2019
      month: 11
      day: 26
  author:
    - family: Chi
      given: Yuejie
    - family: Lu
      given: Yue M.
    - family: Chen
      given: Yuxin
  citation-key: ChiNonconvex2019
  container-title: IEEE Transactions on Signal Processing
  container-title-short: IEEE Trans. Signal Process.
  DOI: 10.1109/TSP.2019.2937282
  ISSN: 1053-587X, 1941-0476
  issue: '20'
  issued:
    - year: 2019
      month: 10
      day: 15
  page: 5239-5269
  title: 'Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview'
  type: article-journal
  URL: http://arxiv.org/abs/1809.09573
  volume: '67'

- id: CichockiLowRank2016
  accessed:
    - year: 2016
      month: 9
      day: 9
  author:
    - family: Cichocki
      given: A.
    - family: Lee
      given: N.
    - family: Oseledets
      given: I. V.
    - family: Phan
      given: A.-H.
    - family: Zhao
      given: Q.
    - family: Mandic
      given: D.
  citation-key: CichockiLowRank2016
  container-title: arXiv:1609.00893 [cs]
  issued:
    - year: 2016
      month: 9
      day: 4
  title: >-
    Low-Rank Tensor Networks for Dimensionality Reduction and Large-Scale
    Optimization Problems: Perspectives and Challenges PART 1
  type: article-journal
  URL: http://arxiv.org/abs/1609.00893

- id: CichockiNew2006
  author:
    - family: Cichocki
      given: A.
    - family: Zdunek
      given: R.
    - family: Amari
      given: S.
  citation-key: CichockiNew2006
  container-title: >-
    2006 IEEE International Conference on Acoustics Speech and Signal Processing
    Proceedings
  DOI: 10.1109/ICASSP.2006.1661352
  event-title: >-
    2006 IEEE International Conference on Acoustics Speech and Signal Processing
    Proceedings
  issued:
    - year: 2006
      month: 5
  page: V-V
  title: >-
    New Algorithms for Non-Negative Matrix Factorization in Applications to
    Blind Source Separation
  type: paper-conference
  URL: http://www.bsp.brain.riken.jp/publications/2006/Cichocki-ICASSP-rev.pdf
  volume: '5'

- id: CohenBiorthogonal1992
  accessed:
    - year: 2015
      month: 10
      day: 17
  author:
    - family: Cohen
      given: Albert
    - family: Daubechies
      given: Ingrid
    - family: Feauveau
      given: Jean-Christophe
  citation-key: CohenBiorthogonal1992
  container-title: Communications on pure and applied mathematics
  issue: '5'
  issued:
    - year: 1992
  page: 485–560
  title: Biorthogonal bases of compactly supported wavelets
  type: article-journal
  URL: http://www.math.duke.edu/~ingrid/publications/CPAM_1992_p485.pdf
  volume: '45'

- id: CombettesProximal2008
  accessed:
    - year: 2015
      month: 6
      day: 22
  author:
    - family: Combettes
      given: Patrick L.
    - family: Pesquet
      given: Jean-Christophe
  citation-key: CombettesProximal2008
  container-title: Inverse Problems
  container-title-short: Inverse Problems
  DOI: 10.1088/0266-5611/24/6/065014
  ISSN: 0266-5611
  issue: '6'
  issued:
    - year: 2008
      month: 12
      day: 1
  language: en
  page: '065014'
  title: A proximal decomposition method for solving convex variational
  type: article-journal
  URL: http://arxiv.org/abs/0807.2617
  volume: '24'

- id: DasarathySketching2013
  accessed:
    - year: 2015
      month: 6
      day: 19
  author:
    - family: Dasarathy
      given: Gautam
    - family: Shah
      given: Parikshit
    - family: Bhaskar
      given: Badri Narayan
    - family: Nowak
      given: Robert
  citation-key: DasarathySketching2013
  container-title: arXiv:1303.6544 [cs, math]
  issued:
    - year: 2013
      month: 3
      day: 26
  title: Sketching Sparse Matrices
  type: article-journal
  URL: http://arxiv.org/abs/1303.6544

- id: DasguptaElementary2003
  accessed:
    - year: 2014
      month: 5
      day: 15
  author:
    - family: Dasgupta
      given: Sanjoy
    - family: Gupta
      given: Anupam
  citation-key: DasguptaElementary2003
  container-title: Random Structures & Algorithms
  container-title-short: Random Struct. Alg.
  DOI: 10.1002/rsa.10073
  ISSN: 1098-2418
  issue: '1'
  issued:
    - year: 2003
      month: 1
      day: 1
  language: en
  page: 60-65
  title: An elementary proof of a theorem of Johnson and Lindenstrauss
  type: article-journal
  URL: http://www.cs.cmu.edu/afs/cs.cmu.edu/Web/People/anupamg/papers/jl.pdf
  volume: '22'

- id: DavisRotation1963
  accessed:
    - year: 2023
      month: 4
      day: 7
  author:
    - family: Davis
      given: Chandler
  citation-key: DavisRotation1963
  container-title: Journal of Mathematical Analysis and Applications
  container-title-short: Journal of Mathematical Analysis and Applications
  DOI: 10.1016/0022-247X(63)90001-5
  ISSN: 0022247X
  issue: '2'
  issued:
    - year: 1963
      month: 4
  language: en
  page: 159-173
  title: The rotation of eigenvectors by a perturbation
  type: article-journal
  URL: https://core.ac.uk/download/pdf/82382146.pdf
  volume: '6'

- id: DefferrardConvolutional2016
  accessed:
    - year: 2017
      month: 11
      day: 10
  author:
    - family: Defferrard
      given: Michaël
    - family: Bresson
      given: Xavier
    - family: Vandergheynst
      given: Pierre
  citation-key: DefferrardConvolutional2016
  container-title: Advances In Neural Information Processing Systems
  event-title: NIPS
  issued:
    - year: 2016
      month: 6
      day: 30
  title: >-
    Convolutional Neural Networks on Graphs with Fast Localized Spectral
    Filtering
  type: paper-conference
  URL: http://arxiv.org/abs/1606.09375

- id: DelMoralTaylor2018
  accessed:
    - year: 2023
      month: 5
      day: 2
  author:
    - family: Del Moral
      given: Pierre
    - family: Niclas
      given: Angele
  citation-key: DelMoralTaylor2018
  issued:
    - year: 2018
      month: 1
      day: 2
  language: en
  number: arXiv:1705.08561
  publisher: arXiv
  title: A Taylor expansion of the square root matrix functional
  type: article
  URL: http://arxiv.org/abs/1705.08561

- id: DesaiImproved2016
  author:
    - family: Desai
      given: A.
    - family: Ghashami
      given: M.
    - family: Phillips
      given: J. M.
  citation-key: DesaiImproved2016
  container-title: IEEE Transactions on Knowledge and Data Engineering
  DOI: 10.1109/TKDE.2016.2539943
  ISSN: 1041-4347
  issue: '7'
  issued:
    - year: 2016
      month: 7
  page: 1678-1690
  title: Improved Practical Matrix Sketching with Guarantees
  type: article-journal
  URL: http://arxiv.org/abs/1501.06561
  volume: '28'

- id: DevarajanNonnegative2008
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Devarajan
      given: Karthik
  citation-key: DevarajanNonnegative2008
  container-title: PLoS Comput Biol
  container-title-short: PLoS Comput Biol
  DOI: 10.1371/journal.pcbi.1000029
  issue: '7'
  issued:
    - year: 2008
      month: 7
      day: 25
  page: e1000029
  title: >-
    Nonnegative Matrix Factorization: An Analytical and Interpretive Tool in
    Computational Biology
  type: article-journal
  volume: '4'

- id: DingConvex2010
  author:
    - family: Ding
      given: C.
    - family: Li
      given: Tao
    - family: Jordan
      given: M.I.
  citation-key: DingConvex2010
  container-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
  DOI: 10.1109/TPAMI.2008.277
  ISSN: 0162-8828
  issue: '1'
  issued:
    - year: 2010
      month: 1
  page: 45-55
  title: Convex and Semi-Nonnegative Matrix Factorizations
  type: article-journal
  URL: http://www.cs.berkeley.edu/~jordan/papers/ding-li-jordan.pdf
  volume: '32'

- id: DingEquivalence2005
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Ding
      given: C.
    - family: He
      given: X.
    - family: Simon
      given: H.
  citation-key: DingEquivalence2005
  collection-title: Proceedings
  container-title: Proceedings of the 2005 SIAM International Conference on Data Mining
  ISBN: 978-0-89871-593-4
  issued:
    - year: 2005
      month: 4
      day: 21
  page: 606-610
  publisher: Society for Industrial and Applied Mathematics
  title: >-
    On the Equivalence of Nonnegative Matrix Factorization and Spectral
    Clustering
  type: paper-conference
  URL: http://ranger.uta.edu/~chqding/papers/NMF-SDM2005.pdf

- id: DokmanicMoorePenrose2017
  accessed:
    - year: 2017
      month: 7
      day: 21
  author:
    - family: Dokmanić
      given: Ivan
    - family: Gribonval
      given: Rémi
  citation-key: DokmanicMoorePenrose2017
  container-title: arXiv:1706.08701 [cs, math]
  issued:
    - year: 2017
      month: 6
      day: 27
  title: 'Beyond Moore-Penrose Part II: The Sparse Pseudoinverse'
  type: article-journal
  URL: http://arxiv.org/abs/1706.08701

- id: DolcettiReal2020
  accessed:
    - year: 2023
      month: 5
      day: 2
  author:
    - family: Dolcetti
      given: Alberto
    - family: Pertici
      given: Donato
  citation-key: DolcettiReal2020
  issued:
    - year: 2020
      month: 10
      day: 29
  language: en
  number: arXiv:2010.15609
  publisher: arXiv
  title: >-
    Real square roots of matrices: differential properties in semi-simple,
    symmetric and orthogonal cases
  type: article
  URL: http://arxiv.org/abs/2010.15609

- id: DriedgerLet2015
  author:
    - family: Driedger
      given: Jonathan
    - family: Pratzlich
      given: Thomas
  citation-key: DriedgerLet2015
  container-title: Proceedings of ISMIR
  event-place: Malaga
  event-title: International Society for Music Information Retrieval
  issued:
    - year: 2015
  language: en
  page: '7'
  publisher-place: Malaga
  title: Let It Bee – Towards NMF-Inspired Audio Mosaicing
  type: paper-conference
  URL: http://ismir2015.uma.es/articles/13_Paper.pdf

- id: DrineasFast2006
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Drineas
      given: Petros
    - family: Kannan
      given: Ravi
    - family: Mahoney
      given: Michael W.
  citation-key: DrineasFast2006
  container-title: SIAM Journal on Computing
  container-title-short: SIAM J. Comput.
  DOI: 10.1137/S0097539704442702
  ISSN: 0097-5397
  issue: '1'
  issued:
    - year: 2006
      month: 1
  page: 184-206
  publisher: Society for Industrial and Applied Mathematics
  title: >-
    Fast Monte Carlo Algorithms for Matrices III: Computing a Compressed
    Approximate  Matrix Decomposition
  type: article-journal
  volume: '36'

- id: DrineasFast2006a
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Drineas
      given: Petros
    - family: Kannan
      given: Ravi
    - family: Mahoney
      given: Michael W.
  citation-key: DrineasFast2006a
  container-title: SIAM Journal on Computing
  container-title-short: SIAM J. Comput.
  DOI: 10.1137/S0097539704442696
  ISSN: 0097-5397
  issue: '1'
  issued:
    - year: 2006
      month: 1
  page: 158-183
  publisher: Society for Industrial and Applied Mathematics
  title: >-
    Fast Monte Carlo Algorithms for Matrices II: Computing a Low-Rank
    Approximation to a Matrix
  type: article-journal
  volume: '36'

- id: DrineasNystrom2005
  accessed:
    - year: 2014
      month: 10
      day: 10
  author:
    - family: Drineas
      given: Petros
    - family: Mahoney
      given: Michael W.
  citation-key: DrineasNystrom2005
  container-title: Journal of Machine Learning Research
  ISSN: 1532-4435
  issued:
    - year: 2005
      month: 12
  page: 2153–2175
  title: >-
    On the Nyström method for approximating a Gram matrix for improved
    kernel-based learning
  type: article-journal
  URL: http://jmlr.org/papers/volume6/drineas05a/drineas05a.pdf
  volume: '6'

- id: DueckMultiway2005
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Dueck
      given: Delbert
    - family: Morris
      given: Quaid D.
    - family: Frey
      given: Brendan J.
  citation-key: DueckMultiway2005
  container-title: Bioinformatics
  container-title-short: Bioinformatics
  DOI: 10.1093/bioinformatics/bti1041
  ISSN: 1367-4803, 1460-2059
  issue: suppl 1
  issued:
    - year: 2005
      month: 1
      day: 6
  language: en
  page: i144-i151
  PMID: '15961451'
  title: >-
    Multi-way clustering of microarray data using probabilistic sparse matrix
    factorization
  type: article-journal
  volume: '21'

- id: EatonChapter2007
  accessed:
    - year: 2023
      month: 1
      day: 17
  author:
    - family: Eaton
      given: Morris L.
  citation-key: EatonChapter2007
  container-title: Institute of Mathematical Statistics Lecture Notes - Monograph Series
  DOI: 10.1214/lnms/1196285111
  event-place: Beachwood, Ohio, USA
  ISBN: 978-0-940600-69-0
  issued:
    - year: 2007
  language: en
  page: 159-183
  publisher: Institute of Mathematical Statistics
  publisher-place: Beachwood, Ohio, USA
  title: 'Chapter 5: Matrix Factorizations and Jacobians'
  type: chapter
  URL: http://projecteuclid.org/euclid.lnms/1196285111

- id: EatonMultivariate2007
  author:
    - family: Eaton
      given: Morris L.
  citation-key: EatonMultivariate2007
  collection-number: '53'
  collection-title: Lecture notes-monograph series / Institute of Mathematical Statistics
  event-place: Beachwood, Ohio
  ISBN: 978-0-940600-69-0
  issued:
    - year: 2007
  language: eng
  number-of-pages: '512'
  publisher: Inst. of Mathematical Statistics
  publisher-place: Beachwood, Ohio
  title: 'Multivariate statistics: a vector space approach'
  type: book

- id: EllisFactorization1992
  accessed:
    - year: 2018
      month: 3
      day: 17
  author:
    - family: Ellis
      given: Robert L.
    - family: Lay
      given: David C.
  citation-key: EllisFactorization1992
  container-title: Linear Algebra and its Applications
  container-title-short: Linear Algebra and its Applications
  DOI: 10.1016/0024-3795(92)90420-F
  ISSN: 0024-3795
  issued:
    - year: 1992
      month: 8
      day: 1
  page: 19-38
  title: Factorization of finite rank Hankel and Toeplitz matrices
  type: article-journal
  volume: '173'

- id: FairbanksBehavioral2015
  accessed:
    - year: 2016
      month: 10
      day: 14
  author:
    - family: Fairbanks
      given: James P.
    - family: Kannan
      given: Ramakrishnan
    - family: Park
      given: Haesun
    - family: Bader
      given: David A.
  citation-key: FairbanksBehavioral2015
  collection-title: Graph analysis for scientific discovery
  container-title: Parallel Computing
  container-title-short: Parallel Computing
  DOI: 10.1016/j.parco.2015.03.002
  ISSN: 0167-8191
  issued:
    - year: 2015
      month: 8
  page: 38-50
  title: Behavioral clusters in dynamic graphs
  type: article-journal
  volume: '47'

- id: FasiComputing2023
  accessed:
    - year: 2023
      month: 4
      day: 17
  author:
    - family: Fasi
      given: Massimiliano
    - family: Higham
      given: Nicholas J.
    - family: Liu
      given: Xiaobo
  citation-key: FasiComputing2023
  container-title: SIAM Journal on Matrix Analysis and Applications
  container-title-short: SIAM J. Matrix Anal. Appl.
  DOI: 10.1137/22M1471559
  ISSN: 0895-4798, 1095-7162
  issue: '1'
  issued:
    - year: 2023
      month: 3
      day: 31
  language: en
  page: 156-174
  title: >-
    Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity
    Matrix
  type: article-journal
  volume: '44'

- id: FevotteNonnegative2008
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Févotte
      given: Cédric
    - family: Bertin
      given: Nancy
    - family: Durrieu
      given: Jean-Louis
  citation-key: FevotteNonnegative2008
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/neco.2008.04-08-771
  ISSN: 0899-7667
  issue: '3'
  issued:
    - year: 2008
      month: 9
      day: 11
  page: 793-830
  title: >-
    Nonnegative Matrix Factorization with the Itakura-Saito Divergence: With
    Application to Music Analysis
  type: article-journal
  URL: http://www.unice.fr/cfevotte/publications/journals/neco09_is-nmf.pdf
  volume: '21'

- id: FlammiaQuantum2012
  accessed:
    - year: 2016
      month: 5
      day: 13
  author:
    - family: Flammia
      given: Steven T.
    - family: Gross
      given: David
    - family: Liu
      given: Yi-Kai
    - family: Eisert
      given: Jens
  citation-key: FlammiaQuantum2012
  container-title: New Journal of Physics
  DOI: 10.1088/1367-2630/14/9/095022
  ISSN: 1367-2630
  issue: '9'
  issued:
    - year: 2012
      month: 9
      day: 27
  page: '095022'
  title: >-
    Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity,
    and Efficient Estimators
  type: article-journal
  URL: http://arxiv.org/abs/1205.2300
  volume: '14'

- id: FungGeneral2011
  accessed:
    - year: 2016
      month: 4
      day: 29
  author:
    - family: Fung
      given: Wai Shing
    - family: Hariharan
      given: Ramesh
    - family: Harvey
      given: Nicholas J.A.
    - family: Panigrahi
      given: Debmalya
  citation-key: FungGeneral2011
  collection-title: STOC '11
  container-title: Proceedings of the Forty-third Annual ACM Symposium on Theory of Computing
  DOI: 10.1145/1993636.1993647
  event-place: New York, NY, USA
  ISBN: 978-1-4503-0691-1
  issued:
    - year: 2011
  page: 71–80
  publisher: ACM
  publisher-place: New York, NY, USA
  title: A General Framework for Graph Sparsification
  type: paper-conference
  URL: >-
    https://www.math.uwaterloo.ca/~harvey/Publications/Sparsifier/Sparsifier-STOC.pdf

- id: GemullaLargescale2011
  author:
    - family: Gemulla
      given: Rainer
    - family: Nijkamp
      given: Erik
    - family: Haas
      given: Peter J.
    - family: Sismanis
      given: Yannis
  citation-key: GemullaLargescale2011
  collection-title: KDD '11
  container-title: >-
    Proceedings of the 17th ACM SIGKDD International Conference on Knowledge
    Discovery and Data Mining
  DOI: 10.1145/2020408.2020426
  event-place: New York, NY, USA
  ISBN: 978-1-4503-0813-7
  issued:
    - year: 2011
  page: 69–77
  publisher: ACM
  publisher-place: New York, NY, USA
  title: >-
    Large-scale Matrix Factorization with Distributed Stochastic Gradient
    Descent
  type: paper-conference
  URL: https://files.ifi.uzh.ch/dbtg/sdbs13/T19.0.pdf

- id: GhashamiFrequent2015
  accessed:
    - year: 2016
      month: 6
      day: 24
  author:
    - family: Ghashami
      given: Mina
    - family: Liberty
      given: Edo
    - family: Phillips
      given: Jeff M.
    - family: Woodruff
      given: David P.
  citation-key: GhashamiFrequent2015
  container-title: arXiv:1501.01711 [cs]
  issued:
    - year: 2015
      month: 1
      day: 7
  title: 'Frequent Directions : Simple and Deterministic Matrix Sketching'
  type: article-journal
  URL: http://arxiv.org/abs/1501.01711

- id: GordonGeneralized2002
  accessed:
    - year: 2022
      month: 5
      day: 13
  author:
    - family: Gordon
      given: Geoffrey J.
  citation-key: GordonGeneralized2002
  collection-title: NIPS'02
  container-title: >-
    Proceedings of the 15th International Conference on Neural Information
    Processing Systems
  event-place: Cambridge, MA, USA
  issued:
    - year: 2002
      month: 1
      day: 1
  page: 593–600
  publisher: MIT Press
  publisher-place: Cambridge, MA, USA
  title: Generalized² Linear² models
  type: paper-conference
  URL: >-
    http://www.cs.cmu.edu/afs/cs.cmu.edu/project/ri-seminar/www/archives/2004.spring/ggllm.pdf

- id: GrosseExploiting2012
  accessed:
    - year: 2015
      month: 2
      day: 24
  author:
    - family: Grosse
      given: Roger
    - family: Salakhutdinov
      given: Ruslan R.
    - family: Freeman
      given: William T.
    - family: Tenenbaum
      given: Joshua B.
  citation-key: GrosseExploiting2012
  container-title: Proceedings of the Conference on Uncertainty in Artificial Intelligence
  event-title: Conference on Uncertainty in Artificial Intelligence
  issued:
    - year: 2012
      month: 10
      day: 16
  title: Exploiting compositionality to explore a large space of model structures
  type: paper-conference
  URL: http://arxiv.org/abs/1210.4856

- id: GrossQuantum2010
  accessed:
    - year: 2016
      month: 5
      day: 13
  author:
    - family: Gross
      given: David
    - family: Liu
      given: Yi-Kai
    - family: Flammia
      given: Steven T.
    - family: Becker
      given: Stephen
    - family: Eisert
      given: Jens
  citation-key: GrossQuantum2010
  container-title: Physical Review Letters
  DOI: 10.1103/PhysRevLett.105.150401
  ISSN: 0031-9007, 1079-7114
  issue: '15'
  issued:
    - year: 2010
      month: 10
      day: 4
  title: Quantum state tomography via compressed sensing
  type: article-journal
  URL: http://arxiv.org/abs/0909.3304
  volume: '105'

- id: GrossRecovering2011
  author:
    - family: Gross
      given: D.
  citation-key: GrossRecovering2011
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2011.2104999
  ISSN: 0018-9448
  issue: '3'
  issued:
    - year: 2011
      month: 3
  page: 1548-1566
  title: Recovering Low-Rank Matrices From Few Coefficients in Any Basis
  type: article-journal
  URL: http://arxiv.org/abs/0910.1879
  volume: '57'

- id: GuanNeNMF2012
  accessed:
    - year: 2015
      month: 7
      day: 1
  author:
    - family: Guan
      given: Naiyang
    - family: Tao
      given: Dacheng
    - family: Luo
      given: Zhigang
    - family: Yuan
      given: Bo
  citation-key: GuanNeNMF2012
  container-title: IEEE Transactions on Signal Processing
  issue: '6'
  issued:
    - year: 2012
  page: 2882–2898
  title: 'NeNMF: an optimal gradient method for nonnegative matrix factorization'
  type: article-journal
  URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6166359
  volume: '60'

- id: GuanOnline2012
  author:
    - family: Guan
      given: N.
    - family: Tao
      given: D.
    - family: Luo
      given: Z.
    - family: Yuan
      given: B.
  citation-key: GuanOnline2012
  container-title: IEEE Transactions on Neural Networks and Learning Systems
  DOI: 10.1109/TNNLS.2012.2197827
  ISSN: 2162-237X
  issue: '7'
  issued:
    - year: 2012
      month: 7
  page: 1087-1099
  title: Online Nonnegative Matrix Factorization With Robust Stochastic Approximation
  type: article-journal
  URL: >-
    https://www.researchgate.net/profile/Zhigang_Luo/publication/254060173_Online_Nonnegative_Matrix_Factorization_With_Robust_Stochastic_Approximation/links/0deec52818b03d7dcc000000.pdf
  volume: '23'

- id: GuDowndating1995
  accessed:
    - year: 2023
      month: 4
      day: 9
  author:
    - family: Gu
      given: Ming
    - family: Eisenstat
      given: Stanley C.
  citation-key: GuDowndating1995
  container-title: SIAM Journal on Matrix Analysis and Applications
  container-title-short: SIAM J. Matrix Anal. & Appl.
  DOI: 10.1137/S0895479893251472
  ISSN: 0895-4798, 1095-7162
  issue: '3'
  issued:
    - year: 1995
      month: 7
  language: en
  page: 793-810
  publisher: Society for Industrial and Applied Mathematics
  title: Downdating the Singular Value Decomposition
  type: article-journal
  volume: '16'

- id: GuStable1993
  author:
    - family: Gu
      given: Ming
    - family: Eisenstat
      given: Stanley C.
  citation-key: GuStable1993
  issued:
    - year: 1993
  publisher: Citeseer
  title: A stable and fast algorithm for updating the singular value decomposition
  type: report

- id: HackbuschHierarchical2015
  author:
    - family: Hackbusch
      given: Wolfgang
  citation-key: HackbuschHierarchical2015
  collection-number: '49'
  collection-title: Springer series in computational mathematics
  edition: 1st
  event-place: Heidelberg New York Dordrecht London
  ISBN: 978-3-662-47323-8
  issued:
    - year: 2015
  number-of-pages: '511'
  publisher: Springer Publishing Company, Incorporated
  publisher-place: Heidelberg New York Dordrecht London
  title: 'Hierarchical Matrices: Algorithms and Analysis'
  type: book

- id: HalkoAlgorithm2011
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Halko
      given: Nathan
    - family: Martinsson
      given: Per-Gunnar
    - family: Shkolnisky
      given: Yoel
    - family: Tygert
      given: Mark
  citation-key: HalkoAlgorithm2011
  container-title: SIAM Journal on Scientific Computing
  container-title-short: SIAM J. Sci. Comput.
  DOI: 10.1137/100804139
  ISSN: 1064-8275
  issue: '5'
  issued:
    - year: 2011
      month: 1
  page: 2580-2594
  publisher: Society for Industrial and Applied Mathematics
  title: An Algorithm for the Principal Component Analysis of Large Data Sets
  type: article-journal
  URL: http://arxiv.org/abs/1007.5510
  volume: '33'

- id: HalkoFinding2010
  accessed:
    - year: 2022
      month: 10
      day: 22
  author:
    - family: Halko
      given: Nathan
    - family: Martinsson
      given: Per-Gunnar
    - family: Tropp
      given: Joel A.
  citation-key: HalkoFinding2010
  DOI: 10.48550/arXiv.0909.4061
  issued:
    - year: 2010
      month: 12
      day: 14
  number: arXiv:0909.4061
  publisher: arXiv
  title: >-
    Finding structure with randomness: Probabilistic algorithms for constructing
    approximate matrix decompositions
  type: article
  URL: http://arxiv.org/abs/0909.4061

- id: HarbrechtLowrank2012
  accessed:
    - year: 2023
      month: 2
      day: 26
  author:
    - family: Harbrecht
      given: Helmut
    - family: Peters
      given: Michael
    - family: Schneider
      given: Reinhold
  citation-key: HarbrechtLowrank2012
  collection-title: >-
    Third Chilean Workshop on Numerical Analysis of Partial Differential
    Equations (WONAPDE 2010)
  container-title: Applied Numerical Mathematics
  container-title-short: Applied Numerical Mathematics
  DOI: 10.1016/j.apnum.2011.10.001
  ISSN: 0168-9274
  issue: '4'
  issued:
    - year: 2012
      month: 4
      day: 1
  language: en
  page: 428-440
  title: On the low-rank approximation by the pivoted Cholesky decomposition
  type: article-journal
  volume: '62'

- id: HarvilleExtension1976
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Harville
      given: David A.
  citation-key: HarvilleExtension1976
  container-title: The Annals of Statistics
  DOI: 10.1214/aos/1176343414
  ISSN: 0090-5364, 2168-8966
  issue: '2'
  issued:
    - year: 1976
      month: 3
  page: 384-395
  publisher: Institute of Mathematical Statistics
  title: >-
    Extension of the Gauss-Markov Theorem to Include the Estimation of Random
    Effects
  type: article-journal
  volume: '4'

- id: HarvilleMaximum1977
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Harville
      given: David A.
  citation-key: HarvilleMaximum1977
  container-title: Journal of the American Statistical Association
  DOI: 10.1080/01621459.1977.10480998
  ISSN: 0162-1459
  issue: '358'
  issued:
    - year: 1977
      month: 6
      day: 1
  page: 320-338
  publisher: Taylor & Francis
  title: >-
    Maximum Likelihood Approaches to Variance Component Estimation and to
    Related Problems
  type: article-journal
  volume: '72'

- id: HassaniehNearly2012
  accessed:
    - year: 2015
      month: 10
      day: 18
  author:
    - family: Hassanieh
      given: Haitham
    - family: Indyk
      given: Piotr
    - family: Katabi
      given: Dina
    - family: Price
      given: Eric
  citation-key: HassaniehNearly2012
  collection-title: STOC '12
  container-title: Proceedings of the Forty-fourth Annual ACM Symposium on Theory of Computing
  DOI: 10.1145/2213977.2214029
  event-place: New York, NY, USA
  ISBN: 978-1-4503-1245-5
  issued:
    - year: 2012
  page: 563–578
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Nearly Optimal Sparse Fourier Transform
  type: paper-conference
  URL: http://arxiv.org/abs/1201.2501

- id: HassaniehSimple2012
  accessed:
    - year: 2015
      month: 10
      day: 18
  author:
    - family: Hassanieh
      given: H.
    - family: Indyk
      given: P.
    - family: Katabi
      given: D.
    - family: Price
      given: E.
  citation-key: HassaniehSimple2012
  collection-title: Proceedings
  container-title: >-
    Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete
    Algorithms
  event-place: Kyoto, Japan
  ISBN: 978-1-61197-210-8
  issued:
    - year: 2012
      month: 1
      day: 17
  page: 1183-1194
  publisher: Society for Industrial and Applied Mathematics
  publisher-place: Kyoto, Japan
  title: Simple and Practical Algorithm for Sparse Fourier Transform
  type: paper-conference
  URL: http://groups.csail.mit.edu/netmit/sFFT/soda_paper.pdf

- id: HastieMatrix2015
  accessed:
    - year: 2023
      month: 4
      day: 20
  author:
    - family: Hastie
      given: Trevor
    - family: Mazumder
      given: Rahul
    - family: Lee
      given: Jason D.
    - family: Zadeh
      given: Reza
  citation-key: HastieMatrix2015
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2015
  page: 3367-3402
  title: Matrix Completion and Low-Rank SVD via Fast Alternating Least Squares
  type: paper-conference
  URL: http://arxiv.org/abs/1410.2596
  volume: '16'

- id: HeinigFast2011
  accessed:
    - year: 2018
      month: 3
      day: 17
  author:
    - family: Heinig
      given: Georg
    - family: Rost
      given: Karla
  citation-key: HeinigFast2011
  container-title: Linear Algebra and its Applications
  container-title-short: Linear Algebra and its Applications
  DOI: 10.1016/j.laa.2010.12.001
  ISSN: 0024-3795
  issue: '1'
  issued:
    - year: 2011
      month: 7
      day: 1
  page: 1-59
  title: Fast algorithms for Toeplitz and Hankel matrices
  type: article-journal
  volume: '435'

- id: HendersonDeriving1981
  accessed:
    - year: 2023
      month: 4
      day: 26
  author:
    - family: Henderson
      given: H. V.
    - family: Searle
      given: S. R.
  citation-key: HendersonDeriving1981
  container-title: SIAM Review
  container-title-short: SIAM Rev.
  DOI: 10.1137/1023004
  ISSN: 0036-1445
  issue: '1'
  issued:
    - year: 1981
      month: 1
  page: 53-60
  publisher: Society for Industrial and Applied Mathematics
  title: On Deriving the Inverse of a Sum of Matrices
  type: article-journal
  URL: >-
    https://ecommons.cornell.edu/bitstream/handle/1813/32749/BU-647-M.pdf;sequence=1
  volume: '23'

- id: HoffmanBayesian2010
  author:
    - family: Hoffman
      given: Matthew D
    - family: Blei
      given: David M
    - family: Cook
      given: Perry R
  citation-key: HoffmanBayesian2010
  container-title: International Conference on Machine Learning
  event-title: Proceedings of the ICML
  issued:
    - year: 2010
  language: en
  page: '8'
  title: Bayesian Nonparametric Matrix Factorization for Recorded Music
  type: paper-conference
  URL: http://soundlab.cs.princeton.edu/publications/2010_icml_gapnmf.pdf

- id: HoffmanOnline2010
  accessed:
    - year: 2016
      month: 12
      day: 28
  author:
    - family: Hoffman
      given: Matthew
    - family: Bach
      given: Francis R.
    - family: Blei
      given: David M.
  citation-key: HoffmanOnline2010
  container-title: advances in neural information processing systems
  issued:
    - year: 2010
  page: 856–864
  title: Online learning for latent dirichlet allocation
  type: paper-conference
  URL: >-
    http://papers.nips.cc/paper/3902-online-learning-for-latentdirichlet-allocation!

- id: HoyerNonnegative2002
  author:
    - family: Hoyer
      given: P.O.
  citation-key: HoyerNonnegative2002
  container-title: >-
    Proceedings of the 2002 12th IEEE Workshop on Neural Networks for Signal
    Processing, 2002
  DOI: 10.1109/NNSP.2002.1030067
  event-title: >-
    Proceedings of the 2002 12th IEEE Workshop on Neural Networks for Signal
    Processing, 2002
  issued:
    - year: 2002
  page: 557-565
  title: Non-negative sparse coding
  type: paper-conference
  URL: http://arxiv.org/abs/cs/0202009

- id: HsiehFast2011
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Hsieh
      given: Cho-Jui
    - family: Dhillon
      given: Inderjit S.
  citation-key: HsiehFast2011
  collection-title: KDD '11
  container-title: >-
    Proceedings of the 17th ACM SIGKDD International Conference on Knowledge
    Discovery and Data Mining
  DOI: 10.1145/2020408.2020577
  event-place: New York, NY, USA
  ISBN: 978-1-4503-0813-7
  issued:
    - year: 2011
  page: 1064–1072
  publisher: ACM
  publisher-place: New York, NY, USA
  title: >-
    Fast Coordinate Descent Methods with Variable Selection for Non-negative
    Matrix Factorization
  type: paper-conference
  URL: http://doi.acm.org/10.1145/2020408.2020577

- id: HuangConsistent2013
  author:
    - family: Huang
      given: G.
    - family: Kaess
      given: M.
    - family: Leonard
      given: J. J.
  citation-key: HuangConsistent2013
  container-title: 2013 European Conference on Mobile Robots (ECMR)
  DOI: 10.1109/ECMR.2013.6698835
  event-title: 2013 European Conference on Mobile Robots (ECMR)
  issued:
    - year: 2013
      month: 9
  page: 150-157
  title: Consistent sparsification for graph optimization
  type: paper-conference
  URL: https://ri.cmu.edu/pub_files/2013/9/Huang13ecmr2.pdf

- id: HuHebbian2014
  accessed:
    - year: 2015
      month: 3
      day: 5
  author:
    - family: Hu
      given: Tao
    - family: Pehlevan
      given: Cengiz
    - family: Chklovskii
      given: Dmitri B.
  citation-key: HuHebbian2014
  container-title: 2014 48th Asilomar Conference on Signals, Systems and Computers
  DOI: 10.1109/ACSSC.2014.7094519
  event-title: 2014 48th Asilomar Conference on Signals, Systems and Computers
  issued:
    - year: 2014
      month: 11
  title: >-
    A Hebbian/Anti-Hebbian Network for Online Sparse Dictionary Learning Derived
    from Symmetric Matrix Factorization
  type: paper-conference
  URL: http://arxiv.org/abs/1503.00690

- id: HuynhOTLDA2020
  accessed:
    - year: 2023
      month: 10
      day: 26
  author:
    - family: Huynh
      given: Viet
    - family: Zhao
      given: He
    - family: Phung
      given: Dinh
  citation-key: HuynhOTLDA2020
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2020
  page: 18573–18582
  publisher: Curran Associates, Inc.
  title: 'OTLDA: A Geometry-aware Optimal Transport Approach for Topic Modeling'
  type: paper-conference
  URL: >-
    https://proceedings.neurips.cc/paper/2020/hash/d800149d2f947ad4d64f34668f8b20f6-Abstract.html
  volume: '33'

- id: IlievNonnegative2018
  accessed:
    - year: 2019
      month: 4
      day: 9
  author:
    - family: Iliev
      given: Filip L.
    - family: Stanev
      given: Valentin G.
    - family: Vesselinov
      given: Velimir V.
    - family: Alexandrov
      given: Boian S.
  citation-key: IlievNonnegative2018
  container-title: PLOS ONE
  container-title-short: PLOS ONE
  DOI: 10.1371/journal.pone.0193974
  ISSN: 1932-6203
  issue: '3'
  issued:
    - year: 2018
      month: 3
      day: 8
  language: en
  page: e0193974
  title: >-
    Nonnegative Matrix Factorization for identification of unknown number of
    sources emitting delayed signals
  type: article-journal
  URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0193974
  volume: '13'

- id: JiMultitask2009
  accessed:
    - year: 2022
      month: 2
      day: 4
  author:
    - family: Ji
      given: S.
    - family: Dunson
      given: D.
    - family: Carin
      given: L.
  citation-key: JiMultitask2009
  container-title: IEEE Transactions on Signal Processing
  container-title-short: IEEE Trans. Signal Process.
  DOI: 10.1109/TSP.2008.2005866
  ISSN: 1053-587X, 1941-0476
  issue: '1'
  issued:
    - year: 2009
      month: 1
  language: en
  page: 92-106
  title: Multitask Compressive Sensing
  type: article-journal
  volume: '57'

- id: KannanHighperformance2016
  accessed:
    - year: 2016
      month: 10
      day: 14
  author:
    - family: Kannan
      given: Ramakrishnan
    - family: Ballard
      given: Grey
    - family: Park
      given: Haesun
  citation-key: KannanHighperformance2016
  collection-title: PPoPP '16
  container-title: >-
    Proceedings of the 21st ACM SIGPLAN Symposium on Principles and Practice of
    Parallel Programming
  DOI: 10.1145/2851141.2851152
  event-place: New York, NY, USA
  ISBN: 978-1-4503-4092-2
  issued:
    - year: 2016
  page: 9:1–9:11
  publisher: ACM
  publisher-place: New York, NY, USA
  title: A High-performance Parallel Algorithm for Nonnegative Matrix Factorization
  type: paper-conference

- id: KannanScalable2016
  accessed:
    - year: 2016
      month: 10
      day: 14
  author:
    - family: Kannan
      given: Ramakrishnan
  citation-key: KannanScalable2016
  issued:
    - year: 2016
      month: 4
      day: 15
  title: Scalable and distributed constrained low rank approximations
  type: article-journal
  URL: https://smartech.gatech.edu/handle/1853/54962

- id: KerivenSketching2016
  accessed:
    - year: 2016
      month: 6
      day: 11
  author:
    - family: Keriven
      given: Nicolas
    - family: Bourrier
      given: Anthony
    - family: Gribonval
      given: Rémi
    - family: Pérez
      given: Patrick
  citation-key: KerivenSketching2016
  container-title: >-
    2016 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)
  DOI: 10.1109/ICASSP.2016.7472867
  event-title: >-
    2016 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)
  issued:
    - year: 2016
      month: 6
      day: 9
  page: 6190-6194
  title: Sketching for Large-Scale Learning of Mixture Models
  type: paper-conference
  URL: http://arxiv.org/abs/1606.02838

- id: KeshavaSurvey2003
  accessed:
    - year: 2016
      month: 6
      day: 6
  author:
    - family: Keshava
      given: Nirmal
  citation-key: KeshavaSurvey2003
  container-title: Lincoln Laboratory Journal
  issue: '1'
  issued:
    - year: 2003
  page: 55–78
  title: A survey of spectral unmixing algorithms
  type: article-journal
  URL: https://www.ll.mit.edu/publications/journal/pdf/vol14_no1/14_1survey.pdf
  volume: '14'

- id: KhoromskijApplication2009
  author:
    - family: Khoromskij
      given: B. N.
    - family: Litvinenko
      given: A.
    - family: Matthies
      given: H. G.
  citation-key: KhoromskijApplication2009
  container-title: Computing
  container-title-short: Computing
  DOI: 10.1007/s00607-008-0018-3
  ISSN: 0010-485X, 1436-5057
  issue: 1-2
  issued:
    - year: 2009
      month: 4
      day: 1
  language: en
  page: 49-67
  title: >-
    Application of hierarchical matrices for computing the Karhunen–Loève
    expansion
  type: article-journal
  URL: >-
    https://www.researchgate.net/profile/Alexander_Litvinenko/publication/220261602_Application_of_hierarchical_matrices_for_computing_the_Karhunen-Love_expansion/links/00b7d5226d5da593ea000000.pdf
  volume: '84'

- id: KimNonnegative2008
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Kim
      given: H.
    - family: Park
      given: H.
  citation-key: KimNonnegative2008
  container-title: SIAM Journal on Matrix Analysis and Applications
  container-title-short: SIAM. J. Matrix Anal. & Appl.
  DOI: 10.1137/07069239X
  ISSN: 0895-4798
  issue: '2'
  issued:
    - year: 2008
      month: 1
      day: 1
  page: 713-730
  title: >-
    Nonnegative Matrix Factorization Based on Alternating Nonnegativity
    Constrained Least Squares and Active Set Method
  type: article-journal
  URL: http://www.cc.gatech.edu/~hpark/papers/simax-nmf.pdf
  volume: '30'

- id: KorenMatrix2009
  author:
    - family: Koren
      given: Yehuda
    - family: Bell
      given: Robert
    - family: Volinsky
      given: Chris
  citation-key: KorenMatrix2009
  container-title: Computer
  DOI: 10.1109/MC.2009.263
  ISSN: 0018-9162
  issue: '8'
  issued:
    - year: 2009
  page: 30-37
  title: Matrix Factorization Techniques for Recommender Systems
  type: article-journal
  URL: >-
    http://www2.research.att.com/~volinsky/papers/ieeecomputer.pdf?utm_source=twitterfeed&utm_medium=twitter
  volume: '42'

- id: KoutisFast2012
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Koutis
      given: Ioannis
    - family: Miller
      given: Gary L.
    - family: Peng
      given: Richard
  citation-key: KoutisFast2012
  container-title: Communications of the ACM
  DOI: 10.1145/2347736.2347759
  ISSN: 0001-0782
  issue: '10'
  issued:
    - year: 2012
      month: 10
  page: 99–107
  title: A fast solver for a class of linear systems
  type: article-journal
  URL: http://ccom.uprrp.edu/~ikoutis/papers/CACM-KMP.pdf
  volume: '55'

- id: KruskalNonmetric1964
  accessed:
    - year: 2014
      month: 6
      day: 12
  author:
    - family: Kruskal
      given: J. B.
  citation-key: KruskalNonmetric1964
  container-title: Psychometrika
  container-title-short: Psychometrika
  DOI: 10.1007/BF02289694
  ISSN: 0033-3123, 1860-0980
  issue: '2'
  issued:
    - year: 1964
      month: 6
      day: 1
  language: en
  page: 115-129
  title: 'Nonmetric multidimensional scaling: A numerical method'
  type: article-journal
  volume: '29'

- id: KumarLiterature2016
  accessed:
    - year: 2016
      month: 7
      day: 4
  author:
    - family: Kumar
      given: N. Kishore
    - family: Shneider
      given: Jan
  citation-key: KumarLiterature2016
  container-title: arXiv:1606.06511 [cs, math]
  issued:
    - year: 2016
      month: 6
      day: 21
  title: Literature survey on low rank approximation of matrices
  type: article-journal
  URL: http://arxiv.org/abs/1606.06511

- id: LahiriRandom2016
  accessed:
    - year: 2016
      month: 7
      day: 25
  author:
    - family: Lahiri
      given: Subhaneil
    - family: Gao
      given: Peiran
    - family: Ganguli
      given: Surya
  citation-key: LahiriRandom2016
  container-title: arXiv:1607.04331 [cs, q-bio, stat]
  issued:
    - year: 2016
      month: 7
      day: 14
  title: Random projections of random manifolds
  type: article-journal
  URL: http://arxiv.org/abs/1607.04331

- id: LawrenceNonlinear2009
  author:
    - family: Lawrence
      given: Neil D.
    - family: Urtasun
      given: Raquel
  citation-key: LawrenceNonlinear2009
  collection-title: ICML '09
  container-title: Proceedings of the 26th Annual International Conference on Machine Learning
  DOI: 10.1145/1553374.1553452
  event-place: New York, NY, USA
  ISBN: 978-1-60558-516-1
  issued:
    - year: 2009
  page: 601–608
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Non-linear Matrix Factorization with Gaussian Processes
  type: paper-conference
  URL: http://www.machinelearning.org/archive/icml2009/papers/384.pdf

- id: LeeAlgorithms2001
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Lee
      given: Daniel D.
    - family: Seung
      given: H. Sebastian
  citation-key: LeeAlgorithms2001
  container-title: Advances in Neural Information Processing Systems 13
  editor:
    - family: Leen
      given: T. K.
    - family: Dietterich
      given: T. G.
    - family: Tresp
      given: V.
  issued:
    - year: 2001
  page: 556–562
  publisher: MIT Press
  title: Algorithms for Non-negative Matrix Factorization
  type: paper-conference
  URL: >-
    http://papers.nips.cc/paper/1861-algorithms-for-non-negative-matrix-factorization.pdf

- id: LeeLearning1999
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Lee
      given: Daniel D.
    - family: Seung
      given: H. Sebastian
  citation-key: LeeLearning1999
  container-title: Nature
  container-title-short: Nature
  DOI: 10.1038/44565
  ISSN: 0028-0836
  issue: '6755'
  issued:
    - year: 1999
      month: 10
      day: 21
  language: en
  page: 788-791
  title: Learning the parts of objects by non-negative matrix factorization
  type: article-journal
  volume: '401'

- id: LiAdditive2002
  accessed:
    - year: 2014
      month: 7
      day: 8
  author:
    - family: Li
      given: Chi-Kwong
    - family: Poon
      given: Edward
  citation-key: LiAdditive2002
  container-title: Linear and Multilinear Algebra
  DOI: 10.1080/03081080290025507
  ISSN: 0308-1087
  issue: '4'
  issued:
    - year: 2002
  page: 321-326
  title: Additive Decomposition of Real Matrices
  type: article-journal
  volume: '50'

- id: LibertyRandomized2007
  author:
    - family: Liberty
      given: Edo
    - family: Woolfe
      given: Franco
    - family: Martinsson
      given: Per-Gunnar
    - family: Rokhlin
      given: Vladimir
    - family: Tygert
      given: Mark
  citation-key: LibertyRandomized2007
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.0709640104
  ISSN: 0027-8424, 1091-6490
  issue: '51'
  issued:
    - year: 2007
      month: 12
      day: 18
  language: en
  page: 20167-20172
  PMID: '18056803'
  title: Randomized algorithms for the low-rank approximation of matrices
  type: article-journal
  volume: '104'

- id: LibertySimple2013
  accessed:
    - year: 2016
      month: 6
      day: 24
  author:
    - family: Liberty
      given: Edo
  citation-key: LibertySimple2013
  collection-title: KDD '13
  container-title: >-
    Proceedings of the 19th ACM SIGKDD International Conference on Knowledge
    Discovery and Data Mining
  DOI: 10.1145/2487575.2487623
  event-place: New York, NY, USA
  ISBN: 978-1-4503-2174-7
  issued:
    - year: 2013
  page: 581–588
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Simple and Deterministic Matrix Sketching
  type: paper-conference

- id: LiLearning2001
  author:
    - family: Li
      given: S.Z.
    - family: Hou
      given: XinWen
    - family: Zhang
      given: HongJiang
    - family: Cheng
      given: Qiansheng
  citation-key: LiLearning2001
  container-title: >-
    Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision
    and Pattern Recognition, 2001. CVPR 2001
  DOI: 10.1109/CVPR.2001.990477
  event-title: >-
    Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision
    and Pattern Recognition, 2001. CVPR 2001
  issued:
    - year: 2001
  page: I-207-I-212 vol.1
  title: Learning spatially localized, parts-based representation
  type: paper-conference
  URL: http://cvl.ice.cycu.edu.tw/meeting/2008.12.02.pdf
  volume: '1'

- id: LimVariational2007
  author:
    - family: Lim
      given: Yew Jin
    - family: Teh
      given: Yee Whye
  citation-key: LimVariational2007
  container-title: Proceedings of KDD cup and workshop
  issued:
    - year: 2007
  page: 15–21
  publisher: Citeseer
  title: Variational Bayesian approach to movie rating prediction
  type: paper-conference
  volume: '7'

- id: LinProjected2007
  accessed:
    - year: 2014
      month: 10
      day: 10
  author:
    - family: Lin
      given: Chih-Jen
  citation-key: LinProjected2007
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/neco.2007.19.10.2756
  ISSN: 0899-7667
  issue: '10'
  issued:
    - year: 2007
      month: 8
      day: 23
  page: 2756-2779
  title: Projected Gradient Methods for Nonnegative Matrix Factorization
  type: article-journal
  URL: http://csie.ntu.edu.tw/~cjlin/papers/pgradnmf.pdf
  volume: '19'

- id: LinReview
  accessed:
    - year: 2016
      month: 3
      day: 29
  author:
    - family: Lin
      given: Zhouchen
  citation-key: LinReview
  issued:
    - year: 2016
  title: A Review on Low-Rank Models in Signal and Data Analysis
  type: article-journal
  URL: >-
    http://www.cis.pku.edu.cn/faculty/vision/zlin/Publications/2016-BDIA-LR_review.pdf

- id: LiuDimensionalityDependent2016
  accessed:
    - year: 2016
      month: 1
      day: 19
  author:
    - family: Liu
      given: Tongliang
    - family: Tao
      given: Dacheng
    - family: Xu
      given: Dong
  citation-key: LiuDimensionalityDependent2016
  container-title: arXiv:1601.00238 [cs, stat]
  issued:
    - year: 2016
      month: 1
      day: 2
  title: >-
    Dimensionality-Dependent Generalization Bounds for $k$-Dimensional Coding
    Schemes
  type: article-journal
  URL: http://arxiv.org/abs/1601.00238

- id: LiuPerformance2015
  author:
    - family: Liu
      given: T.
    - family: Tao
      given: D.
  citation-key: LiuPerformance2015
  container-title: IEEE Transactions on Neural Networks and Learning Systems
  DOI: 10.1109/TNNLS.2015.2458986
  ISSN: 2162-237X
  issue: '99'
  issued:
    - year: 2015
  page: 1-1
  title: On the Performance of Manhattan Nonnegative Matrix Factorization
  type: article-journal
  volume: PP

- id: LopezSerranoNMF2019
  author:
    - family: López-Serrano
      given: Patricio
    - family: Dittmar
      given: Christian
    - family: Özer
      given: Yigitcan
    - family: Müller
      given: Meinard
  citation-key: LopezSerranoNMF2019
  event-title: DAFX
  issued:
    - year: 2019
  title: >-
    NMF Toolbox: Music Processing Applications of Nonnegative Matrix
    Factorization
  type: paper-conference

- id: MahoneyRandomized2010
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Mahoney
      given: Michael W.
  citation-key: MahoneyRandomized2010
  DOI: 10.1561/2200000035
  issued:
    - year: 2010
  language: en
  title: Randomized Algorithms for Matrices and Data
  type: book
  URL: http://arxiv.org/abs/1104.5557
  volume: '3'

- id: MailheFast2011
  accessed:
    - year: 2016
      month: 4
      day: 2
  author:
    - family: Mailhé
      given: Boris
    - family: Gribonval
      given: Rémi
    - family: Vandergheynst
      given: Pierre
    - family: Bimbot
      given: Frédéric
  citation-key: MailheFast2011
  collection-title: Advances in Multirate Filter Bank Structures and Multiscale Representations
  container-title: Signal Processing
  container-title-short: Signal Processing
  DOI: 10.1016/j.sigpro.2011.01.004
  ISSN: 0165-1684
  issue: '12'
  issued:
    - year: 2011
      month: 12
  page: 2822-2835
  title: Fast orthogonal sparse approximation algorithms over local dictionaries
  type: article-journal
  URL: >-
    https://hal-univ-rennes1.archives-ouvertes.fr/docs/00/58/87/20/PDF/LocOMP.pdf
  volume: '91'

- id: MairalOnline2009
  accessed:
    - year: 2014
      month: 8
      day: 19
  author:
    - family: Mairal
      given: Julien
    - family: Bach
      given: Francis
    - family: Ponce
      given: Jean
    - family: Sapiro
      given: Guillermo
  citation-key: MairalOnline2009
  collection-title: ICML '09
  container-title: Proceedings of the 26th Annual International Conference on Machine Learning
  DOI: 10.1145/1553374.1553463
  event-place: New York, NY, USA
  ISBN: 978-1-60558-516-1
  issued:
    - year: 2009
  page: 689–696
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Online Dictionary Learning for Sparse Coding
  type: paper-conference
  URL: http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA513243

- id: MairalOnline2010
  accessed:
    - year: 2014
      month: 11
      day: 18
  author:
    - family: Mairal
      given: Julien
    - family: Bach
      given: Francis
    - family: Ponce
      given: Jean
    - family: Sapiro
      given: Guillermo
  citation-key: MairalOnline2010
  container-title: The Journal of Machine Learning Research
  ISSN: 1532-4435
  issued:
    - year: 2010
  page: 19–60
  title: Online learning for matrix factorization and sparse coding
  type: article-journal
  URL: http://arxiv.org/abs/0908.0050
  volume: '11'

- id: MairalSparse2014
  accessed:
    - year: 2016
      month: 4
      day: 2
  author:
    - family: Mairal
      given: Julien
    - family: Bach
      given: Francis
    - family: Ponce
      given: Jean
  citation-key: MairalSparse2014
  DOI: 10.1561/0600000058
  issued:
    - year: 2014
      month: 12
  language: en
  title: Sparse modeling for image and vision processing
  type: book
  URL: http://arxiv.org/abs/1411.3230
  volume: '8'

- id: MartinssonRandomized2006
  author:
    - family: Martinsson
      given: Per-Gunnar
    - family: Rockhlin
      given: Vladimir
    - family: Tygert
      given: Mark
  citation-key: MartinssonRandomized2006
  issued:
    - year: 2006
  publisher: DTIC Document
  title: A randomized algorithm for the approximation of matrices
  type: report
  URL: >-
    http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA458932

- id: MartinssonRandomized2016
  accessed:
    - year: 2016
      month: 8
      day: 4
  author:
    - family: Martinsson
      given: Per-Gunnar
  citation-key: MartinssonRandomized2016
  container-title: arXiv:1607.01649 [math]
  issued:
    - year: 2016
      month: 7
      day: 6
  title: >-
    Randomized methods for matrix computations and analysis of high dimensional
    data
  type: article-journal
  URL: http://arxiv.org/abs/1607.01649

- id: MenschStochastic2017
  author:
    - family: Mensch
      given: Arthur
    - family: Mairal
      given: Julien
    - family: Thirion
      given: Bertrand
    - family: Varoquaux
      given: Gael
  citation-key: MenschStochastic2017
  container-title: arXiv:1701.05363 [math, q-bio, stat]
  issued:
    - year: 2017
      month: 1
      day: 19
  title: Stochastic Subsampling for Factorizing Huge Matrices
  type: article-journal
  URL: http://arxiv.org/abs/1701.05363

- id: MinkaOld2000
  archive: Calibre
  author:
    - family: Minka
      given: Thomas P.
  citation-key: MinkaOld2000
  issued:
    - year: 2000
  language: eng
  title: Old and new matrix algebra useful for statistics
  type: book
  URL: >-
    http://ce.sharif.edu/courses/93-94/1/ce717-2/resources/root/Review/minka-matrix.pdf

- id: MnihProbabilistic2008
  author:
    - family: Mnih
      given: Andriy
    - family: Salakhutdinov
      given: Russ R
  citation-key: MnihProbabilistic2008
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2008
  language: en
  page: '8'
  title: Probabilistic Matrix Factorization
  type: article-journal

- id: MohamedGeneralised2011
  author:
    - family: Mohamed
      given: Shakir
  citation-key: MohamedGeneralised2011
  issued:
    - year: 2011
  language: en
  page: '140'
  title: Generalised Bayesian Matrix Factorisation Models
  type: article-journal
  URL: http://mlg.eng.cam.ac.uk/pub/pdf/Moh11.pdf

- id: NakajimaTheoretical2012
  author:
    - family: Nakajima
      given: Shinichi
    - family: Sugiyama
      given: Masashi
  citation-key: NakajimaTheoretical2012
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2012
  language: en
  page: '66'
  title: Theoretical Analysis of Bayesian Matrix Factorization
  type: article-journal

- id: NakatsukasaLowrank2019
  accessed:
    - year: 2023
      month: 4
      day: 7
  author:
    - family: Nakatsukasa
      given: Yuji
  citation-key: NakatsukasaLowrank2019
  issued:
    - year: 2019
      month: 5
      day: 27
  language: en
  number: arXiv:1905.11490
  publisher: arXiv
  title: The low-rank eigenvalue problem
  type: article
  URL: http://arxiv.org/abs/1905.11490

- id: NeedellUniform2009
  accessed:
    - year: 2014
      month: 4
      day: 29
  author:
    - family: Needell
      given: Deanna
    - family: Vershynin
      given: Roman
  citation-key: NeedellUniform2009
  container-title: Foundations of Computational Mathematics
  container-title-short: Found Comput Math
  DOI: 10.1007/s10208-008-9031-3
  ISSN: 1615-3375, 1615-3383
  issue: '3'
  issued:
    - year: 2009
      month: 6
      day: 1
  language: en
  page: 317-334
  title: >-
    Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal
    Matching Pursuit
  type: article-journal
  volume: '9'

- id: NowakKriging2013
  author:
    - family: Nowak
      given: W.
    - family: Litvinenko
      given: A.
  citation-key: NowakKriging2013
  container-title: Mathematical Geosciences
  container-title-short: Math Geosci
  DOI: 10.1007/s11004-013-9453-6
  ISSN: 1874-8961, 1874-8953
  issue: '4'
  issued:
    - year: 2013
      month: 5
      day: 1
  language: en
  page: 411-435
  title: >-
    Kriging and Spatial Design Accelerated by Orders of Magnitude: Combining
    Low-Rank Covariance Approximations with FFT-Techniques
  type: article-journal
  URL: >-
    https://www.researchgate.net/profile/Alexander_Litvinenko/publication/237332060_Kriging_and_spatial_design_accelerated_by_orders_of_magnitude_combining_low-rank_covariance_approximations_with_FFT-techniques/links/552163110cf2a2d9e1450a84.pdf
  volume: '45'

- id: OkajimaMatrix2021
  accessed:
    - year: 2022
      month: 7
      day: 28
  author:
    - family: Okajima
      given: Koki
    - family: Kabashima
      given: Yoshiyuki
  citation-key: OkajimaMatrix2021
  DOI: 10.1088/1742-5468/ac21c9
  issued:
    - year: 2021
      month: 5
      day: 1
  language: en
  title: Matrix completion based on Gaussian parameterized belief propagation
  type: article-journal
  URL: https://arxiv.org/abs/2105.00233v2

- id: OymakUniversality2015
  accessed:
    - year: 2015
      month: 12
      day: 3
  author:
    - family: Oymak
      given: Samet
    - family: Tropp
      given: Joel A.
  citation-key: OymakUniversality2015
  container-title: arXiv:1511.09433 [cs, math, stat]
  issued:
    - year: 2015
      month: 11
      day: 30
  title: Universality laws for randomized dimension reduction, with applications
  type: article-journal
  URL: http://arxiv.org/abs/1511.09433

- id: PaateroPositive1994
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Paatero
      given: Pentti
    - family: Tapper
      given: Unto
  citation-key: PaateroPositive1994
  container-title: Environmetrics
  container-title-short: Environmetrics
  DOI: 10.1002/env.3170050203
  ISSN: 1099-095X
  issue: '2'
  issued:
    - year: 1994
      month: 6
      day: 1
  language: en
  page: 111-126
  title: >-
    Positive matrix factorization: A non-negative factor model with optimal
    utilization of error estimates of data values
  type: article-journal
  volume: '5'

- id: PanOnline2014
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Pan
      given: Gang
    - family: Zhang
      given: Wangsheng
    - family: Wu
      given: Zhaohui
    - family: Li
      given: Shijian
  citation-key: PanOnline2014
  container-title: PLoS ONE
  container-title-short: PLoS ONE
  DOI: 10.1371/journal.pone.0102799
  issue: '7'
  issued:
    - year: 2014
      month: 7
      day: 25
  page: e102799
  title: Online Community Detection for Large Complex Networks
  type: article-journal
  volume: '9'

- id: PetersenMatrix2012
  accessed:
    - year: 2016
      month: 8
      day: 18
  author:
    - family: Petersen
      given: Kaare Brandt
    - family: Pedersen
      given: Michael Syskind
  citation-key: PetersenMatrix2012
  issued:
    - year: 2012
  title: The Matrix Cookbook
  type: report
  URL: http://www2.imm.dtu.dk/pubdb/views/publication_details.php?id=3274

- id: PleissConstantTime2018
  accessed:
    - year: 2022
      month: 9
      day: 23
  author:
    - family: Pleiss
      given: Geoff
    - family: Gardner
      given: Jacob R.
    - family: Weinberger
      given: Kilian Q.
    - family: Wilson
      given: Andrew Gordon
  citation-key: PleissConstantTime2018
  DOI: 10.48550/arXiv.1803.06058
  event-title: ICML
  issued:
    - year: 2018
      month: 6
      day: 20
  publisher: arXiv
  title: Constant-Time Predictive Distributions for Gaussian Processes
  type: paper-conference
  URL: http://arxiv.org/abs/1803.06058

- id: PleissFast2020
  accessed:
    - year: 2020
      month: 12
      day: 7
  author:
    - family: Pleiss
      given: Geoff
    - family: Jankowiak
      given: Martin
    - family: Eriksson
      given: David
    - family: Damle
      given: Anil
    - family: Gardner
      given: Jacob
  citation-key: PleissFast2020
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2020
  language: en
  title: >-
    Fast Matrix Square Roots with Applications to Gaussian Processes and
    Bayesian Optimization
  type: article-journal
  URL: >-
    https://proceedings.neurips.cc//paper/2020/hash/fcf55a303b71b84d326fb1d06e332a26-Abstract.html
  volume: '33'

- id: RabaniOutofCore2001
  author:
    - family: Rabani
      given: Eran
    - family: Toledo
      given: Sivan
  citation-key: RabaniOutofCore2001
  container-title: PPSC
  issued:
    - year: 2001
  language: en
  title: Out-of-Core SVD and QR Decompositions
  type: paper-conference
  URL: https://www.math.tau.ac.il/~stoledo/Bib/Pubs/pp01-qr.pdf

- id: RaikoPrincipal2007
  accessed:
    - year: 2022
      month: 2
      day: 4
  author:
    - family: Raiko
      given: Tapani
    - family: Ilin
      given: Alexander
    - family: Karhunen
      given: Juha
  citation-key: RaikoPrincipal2007
  container-title: 'Machine Learning: ECML 2007'
  DOI: 10.1007/978-3-540-74958-5_69
  editor:
    - family: Kok
      given: Joost N.
    - family: Koronacki
      given: Jacek
    - family: Mantaras
      given: Raomon Lopez
      dropping-particle: de
    - family: Matwin
      given: Stan
    - family: Mladenič
      given: Dunja
    - family: Skowron
      given: Andrzej
  event-place: Berlin, Heidelberg
  ISBN: 978-3-540-74957-8 978-3-540-74958-5
  ISSN: 0302-9743, 1611-3349
  issued:
    - year: 2007
  language: en
  page: 691-698
  publisher: Springer Berlin Heidelberg
  publisher-place: Berlin, Heidelberg
  title: >-
    Principal Component Analysis for Large Scale Problems with Lots of Missing
    Values
  type: paper-conference
  URL: >-
    http://research.ics.aalto.fi/publications/bibdb2012/public_pdfs/ECML07final_PCA.pdf
  volume: '4701'

- id: RokhlinFast2008
  author:
    - family: Rokhlin
      given: Vladimir
    - family: Tygert
      given: Mark
  citation-key: RokhlinFast2008
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.0804869105
  ISSN: 0027-8424, 1091-6490
  issue: '36'
  issued:
    - year: 2008
      month: 9
      day: 9
  language: en
  page: 13212-13217
  PMID: '18779559'
  title: >-
    A fast randomized algorithm for overdetermined linear least-squares
    regression
  type: article-journal
  volume: '105'

- id: RokhlinRandomized2009
  author:
    - family: Rokhlin
      given: Vladimir
    - family: Szlam
      given: Arthur
    - family: Tygert
      given: Mark
  citation-key: RokhlinRandomized2009
  container-title: SIAM J. Matrix Anal. Appl.
  DOI: 10.1137/080736417
  ISSN: 0895-4798
  issue: '3'
  issued:
    - year: 2009
      month: 8
  page: 1100–1124
  title: A Randomized Algorithm for Principal Component Analysis
  type: article-journal
  URL: http://tygert.com/blanczos.pdf
  volume: '31'

- id: RyabkoNonparametric2010
  author:
    - family: Ryabko
      given: Daniil
    - family: Ryabko
      given: Boris
  citation-key: RyabkoNonparametric2010
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2009.2039169
  ISSN: 0018-9448
  issue: '3'
  issued:
    - year: 2010
      month: 3
  page: 1430-1435
  title: Nonparametric Statistical Inference for Ergodic Processes
  type: article-journal
  URL: http://www.arxiv.org/abs/0804.0510
  volume: '56'

- id: SaadIterative2003
  author:
    - family: Saad
      given: Yousef
  citation-key: SaadIterative2003
  edition: 2nd
  ISBN: 978-0-89871-800-3
  issued:
    - year: 2003
      month: 1
      day: 1
  language: en
  number-of-pages: '538'
  publisher: SIAM
  title: 'Iterative Methods for Sparse Linear Systems: Second Edition'
  type: book
  URL: https://www-users.cse.umn.edu/~saad/IterMethBook_2ndEd.pdf

- id: SachdevaFaster2013
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Sachdeva
      given: Sushant
  citation-key: SachdevaFaster2013
  container-title: Foundations and Trends® in Theoretical Computer Science
  container-title-short: FNT in Theoretical Computer Science
  DOI: 10.1561/0400000065
  ISSN: 1551-305X, 1551-3068
  issue: '2'
  issued:
    - year: 2013
  language: en
  page: 125-210
  title: Faster Algorithms via Approximation Theory
  type: article-journal
  URL: https://theory.epfl.ch/vishnoi/Publications_files/approx-survey.pdf
  volume: '9'

- id: SachdevaInfinite2022
  accessed:
    - year: 2022
      month: 10
      day: 17
  author:
    - family: Sachdeva
      given: Noveen
    - family: Dhaliwal
      given: Mehak Preet
    - family: Wu
      given: Carole-Jean
    - family: McAuley
      given: Julian
  citation-key: SachdevaInfinite2022
  DOI: 10.48550/arXiv.2206.02626
  issued:
    - year: 2022
      month: 10
      day: 12
  number: arXiv:2206.02626
  publisher: arXiv
  title: 'Infinite Recommendation Networks: A Data-Centric Approach'
  type: article
  URL: http://arxiv.org/abs/2206.02626

- id: SalakhutdinovBayesian2008
  accessed:
    - year: 2017
      month: 12
      day: 5
  author:
    - family: Salakhutdinov
      given: Ruslan
    - family: Mnih
      given: Andriy
  citation-key: SalakhutdinovBayesian2008
  collection-title: ICML '08
  container-title: Proceedings of the 25th International Conference on Machine Learning
  DOI: 10.1145/1390156.1390267
  event-place: New York, NY, USA
  ISBN: 978-1-60558-205-4
  issued:
    - year: 2008
  page: 880–887
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Bayesian Probabilistic Matrix Factorization Using Markov Chain Monte Carlo
  type: paper-conference
  URL: http://www.machinelearning.org/archive/icml2008/papers/600.pdf

- id: SarwarIncremental2002
  author:
    - family: Sarwar
      given: Badrul
    - family: Karypis
      given: George
    - family: Konstan
      given: Joseph
    - family: Riedl
      given: John
  citation-key: SarwarIncremental2002
  issued:
    - year: 2002
  language: en
  title: >-
    Incremental Singular Value Decomposition Algorithms for Highly Scalable
    Recommender Systems
  type: article-journal

- id: SaulGeometrical2023
  accessed:
    - year: 2023
      month: 1
      day: 17
  author:
    - family: Saul
      given: Lawrence K.
  citation-key: SaulGeometrical2023
  container-title: Transactions on Machine Learning Research
  issued:
    - year: 2023
      month: 1
      day: 9
  language: en
  title: >-
    A geometrical connection between sparse and low-rank matrices and its
    application to manifold learning
  type: article-journal
  URL: https://openreview.net/forum?id=p8gncJbMit

- id: SchmidtWind2007
  author:
    - family: Schmidt
      given: M.N.
    - family: Larsen
      given: J.
    - family: Hsiao
      given: Fu-Tien
  citation-key: SchmidtWind2007
  container-title: 2007 IEEE Workshop on Machine Learning for Signal Processing
  DOI: 10.1109/MLSP.2007.4414345
  event-title: 2007 IEEE Workshop on Machine Learning for Signal Processing
  issued:
    - year: 2007
      month: 8
  page: 431-436
  title: Wind Noise Reduction using Non-Negative Sparse Coding
  type: paper-conference
  URL: http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/5258/pdf/

- id: SeegerLow2004
  citation-key: SeegerLow2004
  editor:
    - family: Seeger
      given: Matthias
  issued:
    - year: 2004
  title: Low Rank Updates for the Cholesky Decomposition
  type: book

- id: SeshadhriImpossibility2020
  accessed:
    - year: 2020
      month: 5
      day: 2
  author:
    - family: Seshadhri
      given: C.
    - family: Sharma
      given: Aneesh
    - family: Stolman
      given: Andrew
    - family: Goel
      given: Ashish
  citation-key: SeshadhriImpossibility2020
  container-title: Proceedings of the National Academy of Sciences
  container-title-short: PNAS
  DOI: 10.1073/pnas.1911030117
  ISSN: 0027-8424, 1091-6490
  issue: '11'
  issued:
    - year: 2020
      month: 3
      day: 17
  language: en
  page: 5631-5637
  PMID: '32123073'
  publisher: National Academy of Sciences
  section: Physical Sciences
  title: >-
    The impossibility of low-rank representations for triangle-rich complex
    networks
  type: article-journal
  volume: '117'

- id: ShiSurvey2017
  accessed:
    - year: 2022
      month: 3
      day: 29
  author:
    - family: Shi
      given: Jiarong
    - family: Zheng
      given: Xiuyun
    - family: Yang
      given: Wei
  citation-key: ShiSurvey2017
  container-title: Entropy
  container-title-short: Entropy
  DOI: 10.3390/e19080424
  ISSN: 1099-4300
  issue: '8'
  issued:
    - year: 2017
      month: 8
      day: 19
  language: en
  page: '424'
  title: Survey on Probabilistic Models of Low-Rank Matrix Factorizations
  type: article-journal
  URL: http://www.mdpi.com/1099-4300/19/8/424
  volume: '19'

- id: SinghUnified2008
  accessed:
    - year: 2016
      month: 5
      day: 5
  author:
    - family: Singh
      given: Ajit P.
    - family: Gordon
      given: Geoffrey J.
  citation-key: SinghUnified2008
  container-title: Machine Learning and Knowledge Discovery in Databases
  issued:
    - year: 2008
  page: 358–373
  publisher: Springer
  title: A unified view of matrix factorization models
  type: paper-conference
  URL: >-
    https://www.select.cs.cmu.edu/publications/paperdir/ecml2008-singh-gordon.pdf

- id: SmaragdisNonnegative2004
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Smaragdis
      given: Paris
  citation-key: SmaragdisNonnegative2004
  collection-title: Lecture Notes in Computer Science
  container-title: Independent Component Analysis and Blind Signal Separation
  DOI: 10.1007/978-3-540-30110-3_63
  editor:
    - family: Puntonet
      given: Carlos G.
    - family: Prieto
      given: Alberto
  event-place: Granada, Spain
  ISBN: 978-3-540-23056-4 978-3-540-30110-3
  issued:
    - year: 2004
      month: 9
      day: 22
  language: en
  page: 494-499
  publisher: Springer Berlin Heidelberg
  publisher-place: Granada, Spain
  title: >-
    Non-negative Matrix Factor Deconvolution; Extraction of Multiple Sound
    Sources from Monophonic Inputs
  type: paper-conference

- id: SohMatrix2017
  author:
    - family: Soh
      given: Yong Sheng
    - family: Chandrasekaran
      given: Venkat
  citation-key: SohMatrix2017
  container-title: arXiv:1701.01207 [cs, math, stat]
  issued:
    - year: 2017
      month: 1
      day: 4
  title: >-
    A Matrix Factorization Approach for Learning Semidefinite-Representable
    Regularizers
  type: article-journal
  URL: http://arxiv.org/abs/1701.01207

- id: SongFast2022
  accessed:
    - year: 2023
      month: 5
      day: 2
  author:
    - family: Song
      given: Yue
    - family: Sebe
      given: Nicu
    - family: Wang
      given: Wei
  citation-key: SongFast2022
  event-title: International Conference on Learning Representations
  issued:
    - year: 2022
      month: 1
      day: 28
  language: en
  title: Fast Differentiable Matrix Square Root
  type: paper-conference
  URL: http://arxiv.org/abs/2201.08663

- id: SorzanoSurvey2014
  accessed:
    - year: 2015
      month: 5
      day: 2
  author:
    - family: Sorzano
      given: C. O. S.
    - family: Vargas
      given: J.
    - family: Montano
      given: A. Pascual
  citation-key: SorzanoSurvey2014
  container-title: arXiv:1403.2877 [cs, q-bio, stat]
  issued:
    - year: 2014
      month: 3
      day: 12
  title: A survey of dimensionality reduction techniques
  type: article-journal
  URL: http://arxiv.org/abs/1403.2877

- id: SpielmanGraph2011
  accessed:
    - year: 2016
      month: 4
      day: 29
  author:
    - family: Spielman
      given: D.
    - family: Srivastava
      given: N.
  citation-key: SpielmanGraph2011
  container-title: SIAM Journal on Computing
  container-title-short: SIAM J. Comput.
  DOI: 10.1137/080734029
  ISSN: 0097-5397
  issue: '6'
  issued:
    - year: 2011
      month: 1
      day: 1
  page: 1913-1926
  title: Graph Sparsification by Effective Resistances
  type: article-journal
  URL: http://arxiv.org/abs/0803.0929
  volume: '40'

- id: SpielmanLocal2008
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Spielman
      given: Daniel A.
    - family: Teng
      given: Shang-Hua
  citation-key: SpielmanLocal2008
  container-title: arXiv:0809.3232 [cs]
  issued:
    - year: 2008
      month: 9
      day: 18
  title: >-
    A Local Clustering Algorithm for Massive Graphs and its Application to
    Nearly-Linear Time Graph Partitioning
  type: article-journal
  URL: http://arxiv.org/abs/0809.3232

- id: SpielmanNearlylinear2004
  accessed:
    - year: 2016
      month: 4
      day: 29
  author:
    - family: Spielman
      given: Daniel A.
    - family: Teng
      given: Shang-Hua
  citation-key: SpielmanNearlylinear2004
  collection-title: STOC '04
  container-title: Proceedings of the Thirty-sixth Annual ACM Symposium on Theory of Computing
  DOI: 10.1145/1007352.1007372
  event-place: New York, NY, USA
  ISBN: 978-1-58113-852-8
  issued:
    - year: 2004
  page: 81–90
  publisher: ACM
  publisher-place: New York, NY, USA
  title: >-
    Nearly-linear Time Algorithms for Graph Partitioning, Graph Sparsification,
    and Solving Linear Systems
  type: paper-conference
  URL: >-
    https://users.cs.duke.edu/~reif/temp/Random.papers/Algebraic%20computing%20papers/Nearly-linear%20time%20algorithms%20for%20graph%20partitioning,%20graph%20sparsification,%20and%20solving%20linear%20systems/p81-spielman.pdf

- id: SpielmanNearlyLinear2006
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Spielman
      given: Daniel A.
    - family: Teng
      given: Shang-Hua
  citation-key: SpielmanNearlyLinear2006
  container-title: arXiv:cs/0607105
  issued:
    - year: 2006
      month: 7
      day: 24
  title: >-
    Nearly-Linear Time Algorithms for Preconditioning and Solving Symmetric,
    Diagonally Dominant Linear Systems
  type: article-journal
  URL: http://arxiv.org/abs/cs/0607105

- id: SpielmanSpectral2008
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Spielman
      given: Daniel A.
    - family: Teng
      given: Shang-Hua
  citation-key: SpielmanSpectral2008
  container-title: arXiv:0808.4134 [cs]
  issued:
    - year: 2008
      month: 8
      day: 29
  title: Spectral Sparsification of Graphs
  type: article-journal
  URL: http://arxiv.org/abs/0808.4134

- id: SraGeneralized2006
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Sra
      given: Suvrit
    - family: Dhillon
      given: Inderjit S.
  citation-key: SraGeneralized2006
  container-title: Advances in Neural Information Processing Systems 18
  editor:
    - family: Weiss
      given: Y.
    - family: Schölkopf
      given: B.
    - family: Platt
      given: J. C.
  issued:
    - year: 2006
  page: 283–290
  publisher: MIT Press
  title: Generalized Nonnegative Matrix Approximations with Bregman Divergences
  type: paper-conference
  URL: >-
    http://papers.nips.cc/paper/2757-generalized-nonnegative-matrix-approximations-with-bregman-divergences.pdf

- id: SrebroMaximummargin2004
  accessed:
    - year: 2022
      month: 2
      day: 3
  author:
    - family: Srebro
      given: Nathan
    - family: Rennie
      given: Jason D. M.
    - family: Jaakkola
      given: Tommi S.
  citation-key: SrebroMaximummargin2004
  collection-title: NIPS'04
  container-title: Advances in Neural Information Processing Systems
  event-place: Cambridge, MA, USA
  event-title: NIPS
  issued:
    - year: 2004
      month: 12
      day: 1
  page: 1329–1336
  publisher: MIT Press
  publisher-place: Cambridge, MA, USA
  title: Maximum-margin matrix factorization
  type: paper-conference
  URL: https://openreview.net/forum?id=Sk-3qvbu-S
  volume: '17'

- id: StewartDecompositional2000
  author:
    - family: Stewart
      given: G.W.
  citation-key: StewartDecompositional2000
  container-title: Computing in Science Engineering
  DOI: 10.1109/5992.814658
  ISSN: 1558-366X
  issue: '1'
  issued:
    - year: 2000
      month: 1
  page: 50-59
  title: The decompositional approach to matrix computation
  type: article-journal
  URL: >-
    http://hua-zhou.github.io/teaching/biostatm280-2017spring/readings/decomp.pdf
  volume: '2'

- id: SundinBayesian2016
  author:
    - family: Sundin
      given: Martin
  citation-key: SundinBayesian2016
  genre: PhD Thesis
  issued:
    - year: 2016
  publisher: KTH Royal Institute of Technology
  title: Bayesian methods for sparse and low-rank matrix problems
  type: thesis

- id: SunStatistically2016
  author:
    - family: Sun
      given: Ying
    - family: Stein
      given: Michael L.
  citation-key: SunStatistically2016
  container-title: Journal of Computational and Graphical Statistics
  DOI: 10.1080/10618600.2014.975230
  ISSN: 1061-8600
  issue: '1'
  issued:
    - year: 2016
      month: 1
      day: 2
  page: 187-208
  title: >-
    Statistically and Computationally Efficient Estimating Equations for Large
    Spatial Datasets
  type: article-journal
  URL: https://es.kaust.edu.sa/Documents/2014.SS.JCGS.pdf
  volume: '25'

- id: TroppPractical2017
  accessed:
    - year: 2018
      month: 8
      day: 10
  author:
    - family: Tropp
      given: Joel A.
    - family: Yurtsever
      given: Alp
    - family: Udell
      given: Madeleine
    - family: Cevher
      given: Volkan
  citation-key: TroppPractical2017
  container-title: SIAM Journal on Matrix Analysis and Applications
  DOI: 10.1137/17M1111590
  ISSN: 0895-4798, 1095-7162
  issue: '4'
  issued:
    - year: 2017
      month: 1
  language: en
  page: 1454-1485
  title: Practical sketching algorithms for low-rank matrix approximation
  type: article-journal
  URL: http://arxiv.org/abs/1609.00048
  volume: '38'

- id: TroppRandomized2016
  accessed:
    - year: 2016
      month: 9
      day: 7
  author:
    - family: Tropp
      given: Joel A.
    - family: Yurtsever
      given: Alp
    - family: Udell
      given: Madeleine
    - family: Cevher
      given: Volkan
  citation-key: TroppRandomized2016
  container-title: arXiv:1609.00048 [cs, math, stat]
  issued:
    - year: 2016
      month: 8
      day: 31
  title: Randomized single-view algorithms for low-rank matrix approximation
  type: article-journal
  URL: http://arxiv.org/abs/1609.00048

- id: TuftsEstimation1982
  author:
    - family: Tufts
      given: D. W.
    - family: Kumaresan
      given: R.
  citation-key: TuftsEstimation1982
  container-title: Proceedings of the IEEE
  DOI: 10.1109/PROC.1982.12428
  ISSN: 0018-9219
  issue: '9'
  issued:
    - year: 1982
      month: 9
  page: 975-989
  title: >-
    Estimation of frequencies of multiple sinusoids: Making linear prediction
    perform like maximum likelihood
  type: article-journal
  volume: '70'

- id: TungFactorized
  accessed:
    - year: 2016
      month: 8
      day: 28
  author:
    - family: Tung
      given: Frederick
    - family: Little
      given: James J.
  citation-key: TungFactorized
  title: Factorized Binary Codes for Large-Scale Nearest Neighbor Search
  type: article-journal
  URL: http://www.cs.ubc.ca/~ftung/papers/factorized_binary_codes_bmvc16.pdf

- id: TurkmenReview2015
  accessed:
    - year: 2015
      month: 8
      day: 6
  author:
    - family: Türkmen
      given: Ali Caner
  citation-key: TurkmenReview2015
  container-title: arXiv:1507.03194 [cs, stat]
  issued:
    - year: 2015
      month: 7
      day: 12
  title: A Review of Nonnegative Matrix Factorization Methods for Clustering
  type: article-journal
  URL: http://arxiv.org/abs/1507.03194

- id: TurnerTimeFrequency2014
  accessed:
    - year: 2019
      month: 9
      day: 18
  author:
    - family: Turner
      given: Richard E.
    - family: Sahani
      given: Maneesh
  citation-key: TurnerTimeFrequency2014
  container-title: IEEE Transactions on Signal Processing
  container-title-short: IEEE Trans. Signal Process.
  DOI: 10.1109/TSP.2014.2362100
  ISSN: 1053-587X, 1941-0476
  issue: '23'
  issued:
    - year: 2014
      month: 12
  language: en
  page: 6171-6183
  title: Time-Frequency Analysis as Probabilistic Inference
  type: article-journal
  URL: http://www.gatsby.ucl.ac.uk/~maneesh/papers/turner-sahani-2014-tsp.pdf
  volume: '62'

- id: UdellWhy2019
  accessed:
    - year: 2019
      month: 5
      day: 21
  author:
    - family: Udell
      given: M.
    - family: Townsend
      given: A.
  citation-key: UdellWhy2019
  container-title: SIAM Journal on Mathematics of Data Science
  container-title-short: SIAM Journal on Mathematics of Data Science
  DOI: 10.1137/18M1183480
  issue: '1'
  issued:
    - year: 2019
      month: 1
      day: 1
  page: 144-160
  title: Why Are Big Data Matrices Approximately Low Rank?
  type: article-journal
  volume: '1'

- id: VazConvex2016
  author:
    - family: Vaz
      given: Colin
    - family: Toutios
      given: Asterios
    - family: Narayanan
      given: Shrikanth S.
  citation-key: VazConvex2016
  DOI: 10.21437/Interspeech.2016-571
  issued:
    - year: 2016
      month: 9
      day: 8
  page: 963-967
  title: >-
    Convex Hull Convolutive Non-Negative Matrix Factorization for Uncovering
    Temporal Patterns in Multivariate Time-Series Data
  type: paper-conference
  URL: http://www.isca-speech.org/archive/Interspeech_2016/abstracts/0571.html

- id: VincentHarmonic2008
  author:
    - family: Vincent
      given: E.
    - family: Bertin
      given: N.
    - family: Badeau
      given: R.
  citation-key: VincentHarmonic2008
  container-title: >-
    2008 IEEE International Conference on Acoustics, Speech and Signal
    Processing
  DOI: 10.1109/ICASSP.2008.4517558
  event-title: >-
    2008 IEEE International Conference on Acoustics, Speech and Signal
    Processing
  issued:
    - year: 2008
      month: 3
  page: 109-112
  title: >-
    Harmonic and inharmonic Nonnegative Matrix Factorization for Polyphonic
    Pitch transcription
  type: paper-conference
  URL: http://perso.telecom-paristech.fr/~rbadeau/assets/icassp-08-bis.pdf

- id: VirtanenMonaural2007
  author:
    - family: Virtanen
      given: T.
  citation-key: VirtanenMonaural2007
  container-title: IEEE Transactions on Audio, Speech, and Language Processing
  DOI: 10.1109/TASL.2006.885253
  ISSN: 1558-7916
  issue: '3'
  issued:
    - year: 2007
      month: 3
  page: 1066-1074
  title: >-
    Monaural Sound Source Separation by Nonnegative Matrix Factorization With
    Temporal Continuity and Sparseness Criteria
  type: article-journal
  URL: >-
    http://www.cs.northwestern.edu/~pardo/courses/casa2009/casa_papers_2009/papers/Monaural%20Sound%20Source%20Separation%20by%20NMF%20with%20Temporal%20Continuity%20and%20Sparseness%20Criteria%20-%202007.pdf
  volume: '15'

- id: VishnoiLx2013
  accessed:
    - year: 2014
      month: 7
      day: 29
  author:
    - family: Vishnoi
      given: Nisheeth K.
  citation-key: VishnoiLx2013
  container-title: Foundations and Trends® in Theoretical Computer Science
  DOI: 10.1561/0400000054
  ISSN: 1551-305X, 1551-3068
  issue: 1-2
  issued:
    - year: 2013
  language: en
  page: 1-141
  title: Lx = b
  type: article-journal
  URL: http://research.microsoft.com/en-us/um/people/nvishno/site/Lxb-Web.pdf
  volume: '8'

- id: VoEfficient2017
  accessed:
    - year: 2022
      month: 3
      day: 29
  author:
    - family: Vo
      given: Ba Ngu
    - family: Vo
      given: Ba Tuong
    - family: Hoang
      given: Hung Gia
  citation-key: VoEfficient2017
  container-title: arXiv:1606.08350 [stat]
  issued:
    - year: 2017
      month: 2
      day: 28
  language: en
  title: >-
    An Efficient Implementation of the Generalized Labeled Multi-Bernoulli
    Filter
  type: article-journal
  URL: http://arxiv.org/abs/1606.08350

- id: WagerExpressive2017
  author:
    - family: Wager
      given: S.
    - family: Chen
      given: L.
    - family: Kim
      given: M.
    - family: Raphael
      given: C.
  citation-key: WagerExpressive2017
  container-title: >-
    2017 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)
  DOI: 10.1109/ICASSP.2017.7952184
  event-title: >-
    2017 IEEE International Conference on Acoustics, Speech and Signal
    Processing (ICASSP)
  issued:
    - year: 2017
      month: 3
  page: 391-395
  title: >-
    Towards expressive instrument synthesis through smooth frame-by-frame
    reconstruction: From string to woodwind
  type: paper-conference

- id: WangFisher2004
  author:
    - family: Wang
      given: Yuan
    - family: Jia
      given: Yunde
  citation-key: WangFisher2004
  container-title: In Proc. Asian Conf. on Comp. Vision
  issued:
    - year: 2004
  page: 27–30
  title: Fisher non-negative matrix factorization for learning local features
  type: paper-conference

- id: WangLinformer2020
  accessed:
    - year: 2023
      month: 6
      day: 25
  author:
    - family: Wang
      given: Sinong
    - family: Li
      given: Belinda Z.
    - family: Khabsa
      given: Madian
    - family: Fang
      given: Han
    - family: Ma
      given: Hao
  citation-key: WangLinformer2020
  issued:
    - year: 2020
      month: 6
      day: 14
  language: en
  number: arXiv:2006.04768
  publisher: arXiv
  title: 'Linformer: Self-Attention with Linear Complexity'
  type: article
  URL: http://arxiv.org/abs/2006.04768

- id: WangLocality2017
  accessed:
    - year: 2017
      month: 10
      day: 9
  author:
    - family: Wang
      given: Boyue
    - family: Hu
      given: Yongli
    - family: Gao
      given: Junbin
    - family: Sun
      given: Yanfeng
    - family: Chen
      given: Haoran
    - family: Yin
      given: Baocai
  citation-key: WangLocality2017
  container-title: PRoceedings of  IJCAI, 2017
  event-title: IJCAI
  issued:
    - year: 2017
      month: 4
      day: 27
  title: Locality Preserving Projections for Grassmann manifold
  type: paper-conference
  URL: http://arxiv.org/abs/1704.08458

- id: WangNonnegative2013
  author:
    - family: Wang
      given: Y. X.
    - family: Zhang
      given: Y. J.
  citation-key: WangNonnegative2013
  container-title: IEEE Transactions on Knowledge and Data Engineering
  DOI: 10.1109/TKDE.2012.51
  ISSN: 1041-4347
  issue: '6'
  issued:
    - year: 2013
      month: 6
  page: 1336-1353
  title: 'Nonnegative Matrix Factorization: A Comprehensive Review'
  type: article-journal
  volume: '25'

- id: WangSketched2017
  author:
    - family: Wang
      given: Shusen
    - family: Gittens
      given: Alex
    - family: Mahoney
      given: Michael W.
  citation-key: WangSketched2017
  container-title: arXiv:1702.04837 [cs, stat]
  issued:
    - year: 2017
      month: 2
      day: 15
  title: >-
    Sketched Ridge Regression: Optimization Perspective, Statistical
    Perspective, and Model Averaging
  type: article-journal
  URL: http://arxiv.org/abs/1702.04837

- id: WilkinsonEndtoEnd2019
  accessed:
    - year: 2019
      month: 2
      day: 3
  author:
    - family: Wilkinson
      given: William J.
    - family: Andersen
      given: Michael Riis
    - family: Reiss
      given: Joshua D.
    - family: Stowell
      given: Dan
    - family: Solin
      given: Arno
  citation-key: WilkinsonEndtoEnd2019
  container-title: arXiv:1901.11436 [cs, eess, stat]
  issued:
    - year: 2019
      month: 1
      day: 31
  language: en
  title: End-to-End Probabilistic Inference for Nonstationary Audio Analysis
  type: article-journal
  URL: https://arxiv.org/abs/1901.11436v1

- id: WoodruffSketching2014
  archive: Calibre
  author:
    - family: Woodruff
      given: David P.
  citation-key: WoodruffSketching2014
  collection-number: '1.0'
  collection-title: Foundations and Trends in Theoretical Computer Science
  DOI: 10.1561/0400000060
  ISBN: 978-1-68083-004-0
  issued:
    - year: 2014
      month: 11
      day: 14
  language: eng
  publisher: Now Publishers
  title: Sketching as a Tool for Numerical Linear Algebra
  type: book
  URL: http://researcher.watson.ibm.com/researcher/files/us-dpwoodru/wNow.pdf

- id: WoolfeFast2008
  author:
    - family: Woolfe
      given: Franco
    - family: Liberty
      given: Edo
    - family: Rokhlin
      given: Vladimir
    - family: Tygert
      given: Mark
  citation-key: WoolfeFast2008
  container-title: Applied and Computational Harmonic Analysis
  container-title-short: Applied and Computational Harmonic Analysis
  DOI: 10.1016/j.acha.2007.12.002
  ISSN: 1063-5203
  issue: '3'
  issued:
    - year: 2008
      month: 11
      day: 1
  page: 335-366
  title: A fast randomized algorithm for the approximation of matrices
  type: article-journal
  URL: http://www.tygert.com/frand.pdf
  volume: '25'

- id: WrightHighdimensional2022
  author:
    - family: Wright
      given: John
    - family: Ma
      given: Yi
  citation-key: WrightHighdimensional2022
  event-place: S.l.
  ISBN: 978-1-108-48973-7
  issued:
    - year: 2022
  language: English
  publisher: Cambridge University Press
  publisher-place: S.l.
  title: >-
    High-dimensional data analysis with low-dimensional models: Principles,
    computation, and applications
  type: book
  URL: https://book-wright-ma.github.io/

- id: XinghaoDingBayesian2011
  accessed:
    - year: 2022
      month: 2
      day: 4
  author:
    - literal: Xinghao Ding
    - literal: Lihan He
    - family: Carin
      given: L.
  citation-key: XinghaoDingBayesian2011
  container-title: IEEE Transactions on Image Processing
  container-title-short: IEEE Trans. on Image Process.
  DOI: 10.1109/TIP.2011.2156801
  ISSN: 1057-7149, 1941-0042
  issue: '12'
  issued:
    - year: 2011
      month: 12
  language: en
  page: 3419-3430
  title: Bayesian Robust Principal Component Analysis
  type: article-journal
  volume: '20'

- id: YangFast2018
  accessed:
    - year: 2022
      month: 7
      day: 26
  author:
    - family: Yang
      given: Linxiao
    - family: Fang
      given: Jun
    - family: Duan
      given: Huiping
    - family: Li
      given: Hongbin
    - family: Zeng
      given: Bing
  citation-key: YangFast2018
  container-title: IEEE Transactions on Signal Processing
  container-title-short: IEEE Trans. Signal Process.
  DOI: 10.1109/TSP.2018.2816575
  ISSN: 1053-587X, 1941-0476
  issue: '11'
  issued:
    - year: 2018
      month: 6
      day: 1
  language: en
  page: 2804-2817
  title: >-
    Fast Low-Rank Bayesian Matrix Completion with Hierarchical Gaussian Prior
    Models
  type: article-journal
  URL: http://arxiv.org/abs/1708.02455
  volume: '66'

- id: YangImplementing2015
  accessed:
    - year: 2015
      month: 2
      day: 19
  author:
    - family: Yang
      given: Jiyan
    - family: Meng
      given: Xiangrui
    - family: Mahoney
      given: Michael W.
  citation-key: YangImplementing2015
  container-title: arXiv:1502.03032 [cs, math, stat]
  issued:
    - year: 2015
      month: 2
      day: 10
  title: >-
    Implementing Randomized Matrix Algorithms in Parallel and Distributed
    Environments
  type: article-journal
  URL: http://arxiv.org/abs/1502.03032

- id: YangStreaming2015
  accessed:
    - year: 2015
      month: 6
      day: 5
  author:
    - family: Yang
      given: Wenzhuo
    - family: Xu
      given: Huan
  citation-key: YangStreaming2015
  container-title: Journal of Machine Learning Research
  event-title: Proceedings of The 32nd International Conference on Machine Learning
  issued:
    - year: 2015
  page: 494-503
  title: Streaming Sparse Principal Component Analysis
  type: paper-conference
  URL: http://jmlr.org/proceedings/papers/v37/yangd15.html

- id: YeEvery2016
  accessed:
    - year: 2018
      month: 3
      day: 17
  author:
    - family: Ye
      given: Ke
    - family: Lim
      given: Lek-Heng
  citation-key: YeEvery2016
  container-title: Foundations of Computational Mathematics
  DOI: 10.1007/s10208-015-9254-z
  ISSN: 1615-3375, 1615-3383
  issue: '3'
  issued:
    - year: 2016
      month: 6
  language: en
  page: 577-598
  title: Every Matrix is a Product of Toeplitz Matrices
  type: article-journal
  URL: https://www.stat.uchicago.edu/~lekheng/work/toeplitz.pdf
  volume: '16'

- id: YinLaplacian2016
  author:
    - family: Yin
      given: M.
    - family: Gao
      given: J.
    - family: Lin
      given: Z.
  citation-key: YinLaplacian2016
  container-title: IEEE Transactions on Pattern Analysis and Machine Intelligence
  DOI: 10.1109/TPAMI.2015.2462360
  ISSN: 0162-8828
  issue: '3'
  issued:
    - year: 2016
      month: 3
  page: 504-517
  title: Laplacian Regularized Low-Rank Representation and Its Applications
  type: article-journal
  URL: >-
    http://www.cis.pku.edu.cn/faculty/vision/zlin/Publications/2015-TPAMI-LaplacianLRR.pdf
  volume: '38'

- id: YoshiiNMF2013
  author:
    - family: Yoshii
      given: Kazuyoshi
  citation-key: YoshiiNMF2013
  issued:
    - year: 2013
  language: en
  page: '6'
  title: 'Beyond NMF: Time-Domain Audio Source Separation without Phase Reconstruction'
  type: article-journal

- id: YuLog2017
  author:
    - family: Yu
      given: Chenhan D.
    - family: March
      given: William B.
    - family: Biros
      given: George
  citation-key: YuLog2017
  container-title: arXiv:1701.02324 [cs]
  event-title: 31st IEEE International Parallel & Distributed Processing Symposium
  issued:
    - year: 2017
      month: 1
      day: 9
  title: An $N \log N$ Parallel Fast Direct Solver for Kernel Matrices
  type: paper-conference
  URL: http://arxiv.org/abs/1701.02324

- id: YuParallel2014
  author:
    - family: Yu
      given: Hsiang-Fu
    - family: Hsieh
      given: Cho-Jui
    - family: Si
      given: Si
    - family: Dhillon
      given: Inderjit S.
  citation-key: YuParallel2014
  container-title: Knowledge and Information Systems
  container-title-short: Knowl Inf Syst
  DOI: 10.1007/s10115-013-0682-2
  ISSN: 0219-1377, 0219-3116
  issue: '3'
  issued:
    - year: 2014
      month: 12
      day: 1
  language: en
  page: 793-819
  title: Parallel matrix factorization for recommender systems
  type: article-journal
  URL: http://www.cs.utexas.edu/~rofuyu/papers/kais-pmf.pdf
  volume: '41'

- id: YurtseverScalable2021
  accessed:
    - year: 2023
      month: 4
      day: 21
  author:
    - family: Yurtsever
      given: Alp
    - family: Tropp
      given: Joel A.
    - family: Fercoq
      given: Olivier
    - family: Udell
      given: Madeleine
    - family: Cevher
      given: Volkan
  citation-key: YurtseverScalable2021
  container-title: SIAM Journal on Mathematics of Data Science
  DOI: 10.1137/19M1305045
  issue: '1'
  issued:
    - year: 2021
      month: 1
  page: 171-200
  publisher: Society for Industrial and Applied Mathematics
  title: Scalable Semidefinite Programming
  type: article-journal
  URL: https://arxiv.org/abs/1912.02949v2
  volume: '3'

- id: YuScalable2012
  author:
    - family: Yu
      given: Hsiang-Fu
    - family: Hsieh
      given: Cho-Jui
    - family: Si
      given: Si
    - family: Dhillon
      given: Inderjit S.
  citation-key: YuScalable2012
  container-title: IEEE International Conference of Data Mining
  DOI: 10.1109/ICDM.2012.168
  event-title: 2012 IEEE 12th International Conference on Data Mining
  issued:
    - year: 2012
  page: 765-774
  title: >-
    Scalable Coordinate Descent Approaches to Parallel Matrix Factorization for
    Recommender Systems
  type: paper-conference
  URL: http://www.cs.utexas.edu/~rofuyu/papers/icdm-pmf.pdf

- id: ZassUnifying2005
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Zass
      given: Ron
    - family: Shashua
      given: Amnon
  citation-key: ZassUnifying2005
  collection-title: ICCV '05
  container-title: >-
    Proceedings of the Tenth IEEE International Conference on Computer Vision
    (ICCV'05) Volume 1 - Volume 01
  DOI: 10.1109/ICCV.2005.27
  event-place: Washington, DC, USA
  ISBN: 0-7695-2334-X-01
  issued:
    - year: 2005
  page: 294–301
  publisher: IEEE Computer Society
  publisher-place: Washington, DC, USA
  title: A Unifying Approach to Hard and Probabilistic Clustering
  type: paper-conference

- id: ZhangAnswer2022
  accessed:
    - year: 2023
      month: 4
      day: 8
  author:
    - family: Zhang
      given: Yangwen
  citation-key: ZhangAnswer2022
  DOI: 10.48550/arXiv.2204.05398
  issued:
    - year: 2022
      month: 4
      day: 30
  number: arXiv:2204.05398
  publisher: arXiv
  title: An answer to an open question in the incremental SVD
  type: article
  URL: http://arxiv.org/abs/2204.05398
  version: '2'

- id: ZhangBinary2007
  accessed:
    - year: 2015
      month: 5
      day: 31
  author:
    - family: Zhang
      given: Zhongyuan
    - family: Ding
      given: Chris
    - family: Li
      given: Tao
    - family: Zhang
      given: Xiangsun
  citation-key: ZhangBinary2007
  container-title: Seventh IEEE International Conference on Data Mining, 2007. ICDM 2007
  DOI: 10.1109/ICDM.2007.99
  event-title: Seventh IEEE International Conference on Data Mining, 2007. ICDM 2007
  issued:
    - year: 2007
  page: 391–400
  publisher: IEEE
  title: Binary matrix factorization with applications
  type: paper-conference
  URL: http://ranger.uta.edu/~chqding/papers/icdm07-binary.pdf

- id: ZhangRandomization2017
  accessed:
    - year: 2017
      month: 8
      day: 28
  author:
    - family: Zhang
      given: Kai
    - family: Liu
      given: Chuanren
    - family: Zhang
      given: Jie
    - family: Xiong
      given: Hui
    - family: Xing
      given: Eric
    - family: Ye
      given: Jieping
  citation-key: ZhangRandomization2017
  collection-title: KDD '17
  container-title: >-
    Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge
    Discovery and Data Mining
  DOI: 10.1145/3097983.3098050
  event-place: New York, NY, USA
  ISBN: 978-1-4503-4887-4
  issued:
    - year: 2017
  page: 615–623
  publisher: ACM
  publisher-place: New York, NY, USA
  title: >-
    Randomization or Condensation?: Linear-Cost Matrix Sketching Via Cascaded
    Compression Sampling
  type: paper-conference
  URL: http://doi.acm.org/10.1145/3097983.3098050

- id: ZhangStochastic2017
  author:
    - family: Zhang
      given: Xiao
    - family: Wang
      given: Lingxiao
    - family: Gu
      given: Quanquan
  citation-key: ZhangStochastic2017
  container-title: arXiv:1701.00481 [stat]
  issued:
    - year: 2017
      month: 1
      day: 2
  title: >-
    Stochastic Variance-reduced Gradient Descent for Low-rank Matrix Recovery
    from Linear Measurements
  type: article-journal
  URL: http://arxiv.org/abs/1701.00481

- id: ZhaoInter2018
  accessed:
    - year: 2022
      month: 2
      day: 16
  author:
    - family: Zhao
      given: He
    - family: Du
      given: Lan
    - family: Buntine
      given: Wray
    - family: Zhou
      given: Mingyuan
  citation-key: ZhaoInter2018
  container-title: Proceedings of the 35th International Conference on Machine Learning
  event-title: International Conference on Machine Learning
  ISSN: 2640-3498
  issued:
    - year: 2018
      month: 7
      day: 3
  language: en
  page: 5892-5901
  publisher: PMLR
  title: Inter and Intra Topic Structure Learning with Word Embeddings
  type: paper-conference
  URL: https://mingyuanzhou.github.io/Papers/WEDTM_ICML2018.pdf

- id: ZhaoNeural2020
  accessed:
    - year: 2023
      month: 10
      day: 26
  author:
    - family: Zhao
      given: He
    - family: Phung
      given: Dinh
    - family: Huynh
      given: Viet
    - family: Le
      given: Trung
    - family: Buntine
      given: Wray
  citation-key: ZhaoNeural2020
  event-title: International Conference on Learning Representations
  issued:
    - year: 2020
      month: 10
      day: 2
  language: en
  title: Neural Topic Model via Optimal Transport
  type: paper-conference
  URL: https://openreview.net/forum?id=Oos98K9Lv-k

- id: ZhouBetaNegative2012
  accessed:
    - year: 2022
      month: 2
      day: 16
  author:
    - family: Zhou
      given: Mingyuan
    - family: Hannah
      given: Lauren
    - family: Dunson
      given: David
    - family: Carin
      given: Lawrence
  citation-key: ZhouBetaNegative2012
  container-title: >-
    Proceedings of the Fifteenth International Conference on Artificial
    Intelligence and Statistics
  event-title: Artificial Intelligence and Statistics
  ISSN: 1938-7228
  issued:
    - year: 2012
      month: 3
      day: 21
  language: en
  page: 1462-1471
  publisher: PMLR
  title: Beta-Negative Binomial Process and Poisson Factor Analysis
  type: paper-conference
  URL: https://proceedings.mlr.press/v22/zhou12c.html

- id: ZhouGoDec2011
  accessed:
    - year: 2023
      month: 8
      day: 22
  author:
    - family: Zhou
      given: Tianyi
    - family: Tao
      given: Dacheng
  citation-key: ZhouGoDec2011
  collection-title: ICML'11
  container-title: >-
    Proceedings of the 28th International Conference on International Conference
    on Machine Learning
  event-place: Madison, WI, USA
  ISBN: 978-1-4503-0619-5
  issued:
    - year: 2011
      month: 6
      day: 28
  page: 33–40
  publisher: Omnipress
  publisher-place: Madison, WI, USA
  title: 'GoDec: randomized low-rank & sparse matrix decomposition in noisy case'
  type: paper-conference
  URL: http://www.icml-2011.org/papers/41_icmlpaper.pdf

- id: ZhouMultilabel2012
  accessed:
    - year: 2015
      month: 6
      day: 23
  author:
    - family: Zhou
      given: Tianyi
    - family: Tao
      given: Dacheng
  citation-key: ZhouMultilabel2012
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2012
  title: Multi-label Subspace Ensemble
  type: article-journal
  URL: http://www.jmlr.org/proceedings/papers/v22/zhou12a/zhou12a.pdf

- id: ZhouNonparametric2009
  accessed:
    - year: 2022
      month: 2
      day: 3
  author:
    - family: Zhou
      given: Mingyuan
    - family: Chen
      given: Haojun
    - family: Paisley
      given: John
    - family: Ren
      given: Lu
    - family: Sapiro
      given: Guillermo
    - family: Carin
      given: Lawrence
  citation-key: ZhouNonparametric2009
  collection-title: NIPS'09
  container-title: >-
    Proceedings of the 22nd International Conference on Neural Information
    Processing Systems
  event-place: Red Hook, NY, USA
  event-title: NIPS
  ISBN: 978-1-61567-911-9
  issued:
    - year: 2009
      month: 12
      day: 7
  page: 2295–2303
  publisher: Curran Associates Inc.
  publisher-place: Red Hook, NY, USA
  title: Non-parametric Bayesian dictionary learning for sparse image representations
  type: paper-conference
  URL: https://openreview.net/forum?id=H1N4lY-_WS
  volume: '22'

- id: ZitnikNIMFA2018
  accessed:
    - year: 2019
      month: 11
      day: 4
  author:
    - family: Zitnik
      given: Marinka
    - family: Zupan
      given: Blaz
  citation-key: ZitnikNIMFA2018
  container-title: arXiv:1808.01743 [cs, q-bio, stat]
  issued:
    - year: 2018
      month: 8
      day: 6
  title: 'NIMFA: A Python Library for Nonnegative Matrix Factorization'
  type: article-journal
  URL: http://arxiv.org/abs/1808.01743
...
