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  citation-key: AhlswedeStrong2002
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.985947
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- id: AndoMatrix1995
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  collection-title: Operator Theory Advances and Applications
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  page: 33-38
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- id: BachSharp2013
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- id: BakheradReverses2016
  accessed:
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- id: BhatiaMatrix1997
  accessed:
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  collection-title: Graduate Texts in Mathematics
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- id: BhatiaPositive2000
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- id: BishopIntroduction2018
  accessed:
    - year: 2021
      month: 6
      day: 30
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  container-title: Foundations and Trends® in Machine Learning
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  title: An Introduction to Wishart Matrix Moments
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- id: BoucheronConcentration2013
  author:
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    - family: Massart
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  call-number: QA273 .B84 2013
  citation-key: BoucheronConcentration2013
  edition: 1st ed
  event-place: Oxford
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  issued:
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  number-of-pages: '481'
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  title: 'Concentration inequalities: a nonasymptotic theory of independence'
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- id: BousquetAdvanced2004
  archive: Calibre
  author:
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      given: Olivier
    - family: Luxburg
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  citation-key: BousquetAdvanced2004
  ISBN: 978-3-540-23122-6
  issued:
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      month: 9
      day: 2
  language: eng
  publisher: Springer
  title: >-
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- id: BraultRandom2016
  accessed:
    - year: 2016
      month: 8
      day: 31
  author:
    - family: Brault
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    - family: Buc
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  citation-key: BraultRandom2016
  container-title: Proceedings of The 8th Asian Conference on Machine Learning
  issued:
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      month: 5
      day: 9
  page: 110–125
  title: Random Fourier features for operator-valued kernels
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- id: CaminoMatrix2003
  author:
    - family: Camino
      given: Juan F.
    - family: Helton
      given: John William
    - family: Skelton
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    - family: Ye
      given: Jieping
  citation-key: CaminoMatrix2003
  container-title: Integral Equation and Operator Theory
  issue: '4'
  issued:
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  page: 399–454
  title: >-
    Matrix inequalities: a symbolic procedure to determine convexity
    automatically
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- id: CandesExact2009
  accessed:
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      month: 12
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  container-title: Foundations of Computational mathematics
  DOI: 10.1007/s10208-009-9045-5
  issue: '6'
  issued:
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  page: 717–772
  title: Exact matrix completion via convex optimization
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- id: CondeYoung2013
  author:
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      given: Cristian
  citation-key: CondeYoung2013
  container-title: Annals of Functional Analysis
  issue: '2'
  issued:
    - year: 2013
  page: 144–152
  publisher: Tusi Mathematical Research Group
  title: Young type inequalities for positive operators
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  volume: '4'

- id: GrossQuantum2010
  accessed:
    - year: 2016
      month: 5
      day: 13
  author:
    - family: Gross
      given: David
    - family: Liu
      given: Yi-Kai
    - family: Flammia
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    - 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:
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      month: 10
      day: 4
  title: Quantum state tomography via compressed sensing
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- id: GrossRecovering2011
  author:
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      given: D.
  citation-key: GrossRecovering2011
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2011.2104999
  ISSN: 0018-9448
  issue: '3'
  issued:
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      month: 3
  page: 1548-1566
  title: Recovering Low-Rank Matrices From Few Coefficients in Any Basis
  type: article-journal
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  volume: '57'

- id: HirzallahMatrix2000
  accessed:
    - year: 2023
      month: 2
      day: 13
  author:
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    - family: Kittaneh
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  citation-key: HirzallahMatrix2000
  container-title: Linear Algebra and its Applications
  container-title-short: Linear Algebra and its Applications
  DOI: 10.1016/S0024-3795(99)00270-0
  ISSN: 0024-3795
  issue: '1'
  issued:
    - year: 2000
      month: 3
      day: 15
  language: en
  page: 77-84
  title: Matrix Young inequalities for the Hilbert–Schmidt norm
  type: article-journal
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  volume: '308'

- id: HuijsmansOperator1995
  accessed:
    - year: 2023
      month: 2
      day: 13
  citation-key: HuijsmansOperator1995
  DOI: 10.1007/978-3-0348-9076-2
  editor:
    - family: Huijsmans
      given: C. B.
    - family: Kaashoek
      given: M. A.
    - family: Luxemburg
      given: W. A. J.
    - family: Pagter
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      non-dropping-particle: de
  event-place: Basel
  ISBN: 978-3-0348-9896-6 978-3-0348-9076-2
  issued:
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  language: en
  publisher: Birkhäuser Basel
  publisher-place: Basel
  title: >-
    Operator Theory in Function Spaces and Banach Lattices: Essays dedicated to
    A.C. Zaanen on the occasion of his 80th birthday
  type: book
  URL: http://link.springer.com/10.1007/978-3-0348-9076-2

- id: LiaoReverse2015
  accessed:
    - year: 2023
      month: 2
      day: 13
  author:
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      given: Wenshi
    - family: Wu
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  citation-key: LiaoReverse2015
  container-title: Journal of Inequalities and Applications
  container-title-short: J Inequal Appl
  DOI: 10.1186/s13660-015-0735-z
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  issue: '1'
  issued:
    - year: 2015
      month: 7
      day: 1
  language: en
  page: '215'
  title: Reverse arithmetic-harmonic mean and mixed mean operator inequalities
  type: article-journal
  URL: http://www.journalofinequalitiesandapplications.com/content/2015/1/215
  volume: '2015'

- id: LodhiaMatrix2021
  accessed:
    - year: 2023
      month: 2
      day: 14
  author:
    - family: Lodhia
      given: Asad
    - family: Levin
      given: Keith
    - family: Levina
      given: Elizaveta
  citation-key: LodhiaMatrix2021
  issued:
    - year: 2021
      month: 7
      day: 15
  language: en
  number: arXiv:1910.07434
  publisher: arXiv
  title: Matrix Means and a Novel High-Dimensional Shrinkage Phenomenon
  type: article
  URL: http://arxiv.org/abs/1910.07434

- id: MagnusMatrix2019
  author:
    - family: Magnus
      given: Jan R.
    - family: Neudecker
      given: Heinz
  call-number: 512.943 4
  citation-key: MagnusMatrix2019
  collection-title: Wiley series in probability and statistics
  DOI: 10.1002/9781119541219
  edition: 3rd ed
  event-place: Hoboken (N.J.)
  ISBN: 978-1-119-54119-6 978-1-119-54121-9 978-1-119-54116-5
  issued:
    - year: 2019
  language: eng
  publisher: Wiley
  publisher-place: Hoboken (N.J.)
  title: >-
    Matrix differential calculus with applications in statistics and
    econometrics
  type: book

- id: MahoneyLecture2016
  accessed:
    - year: 2016
      month: 8
      day: 28
  author:
    - family: Mahoney
      given: Michael W.
  citation-key: MahoneyLecture2016
  container-title: arXiv preprint arXiv:1608.04845
  issued:
    - year: 2016
  title: Lecture Notes on Spectral Graph Methods
  type: article-journal
  URL: http://arxiv.org/abs/1608.04845

- id: MartonLogarithmic2015
  accessed:
    - year: 2015
      month: 7
      day: 14
  author:
    - family: Marton
      given: Katalin
  citation-key: MartonLogarithmic2015
  container-title: arXiv:1507.02803 [math]
  issued:
    - year: 2015
      month: 7
      day: 10
  title: >-
    Logarithmic Sobolev inequalities in discrete product spaces: a proof by a
    transportation cost distance
  type: article-journal
  URL: http://arxiv.org/abs/1507.02803

- id: MassartConcentration2007
  author:
    - family: Massart
      given: Pascal
  call-number: QA3 .L28 no. 1896
  citation-key: MassartConcentration2007
  collection-number: '1896'
  collection-title: Lecture notes in mathematics
  event-place: Berlin ; New York
  ISBN: 978-3-540-48497-4
  issued:
    - year: 2007
  number-of-pages: '337'
  publisher: Springer-Verlag
  publisher-place: Berlin ; New York
  title: >-
    Concentration inequalities and model selection: Ecole d’Eté de Probabilités
    de Saint-Flour XXXIII - 2003
  type: book
  URL: http://www.cmap.polytechnique.fr/~merlet/articles/probas_massart_stf03.pdf

- id: MercerBounds2000
  accessed:
    - year: 2023
      month: 4
      day: 25
  author:
    - family: Mercer
      given: A. McD.
  citation-key: MercerBounds2000
  container-title: Journal of Mathematical Analysis and Applications
  container-title-short: Journal of Mathematical Analysis and Applications
  DOI: 10.1006/jmaa.1999.6688
  ISSN: 0022-247X
  issue: '1'
  issued:
    - year: 2000
      month: 3
      day: 1
  language: en
  page: 163-173
  title: >-
    Bounds for A–G, A–H, G–H, and a Family of Inequalities of Ky Fan's Type,
    Using a General Method
  type: article-journal
  volume: '243'

- id: MohriFoundations2018
  author:
    - family: Mohri
      given: Mehryar
    - family: Rostamizadeh
      given: Afshin
    - family: Talwalkar
      given: Ameet
  call-number: Q325.5 .M64 2018
  citation-key: MohriFoundations2018
  collection-title: Adaptive computation and machine learning
  edition: Second edition
  event-place: Cambridge, Massachusetts
  ISBN: 978-0-262-03940-6
  issued:
    - year: 2018
  number-of-pages: '486'
  publisher: The MIT Press
  publisher-place: Cambridge, Massachusetts
  title: Foundations of machine learning
  type: book

- id: OertelGrothendieck2020
  accessed:
    - year: 2023
      month: 11
      day: 15
  author:
    - family: Oertel
      given: Frank
  citation-key: OertelGrothendieck2020
  DOI: 10.48550/arXiv.2010.00746
  issued:
    - year: 2020
      month: 10
      day: 11
  number: arXiv:2010.00746
  publisher: arXiv
  title: >-
    Grothendieck's inequality and completely correlation preserving functions --
    a summary of recent results and an indication of related research problems
  type: article
  URL: http://arxiv.org/abs/2010.00746

- id: OliveiraSpectrum2010
  accessed:
    - year: 2021
      month: 3
      day: 3
  author:
    - family: Oliveira
      given: Roberto Imbuzeiro
  citation-key: OliveiraSpectrum2010
  container-title: Journal of Combinatorics
  DOI: 10.4310/JOC.2010.v1.n3.a2
  ISSN: 2150-959X
  issue: '3'
  issued:
    - year: 2010
  language: EN
  page: 285-306
  publisher: International Press of Boston
  title: The spectrum of random $k$-lifts of large graphs (with possibly large $k$)
  type: article-journal
  URL: >-
    https://www.intlpress.com/site/pub/pages/journals/items/joc/content/vols/0001/0003/a002/abstract.php
  volume: '1'

- id: PaulinEfron2016
  accessed:
    - year: 2021
      month: 3
      day: 3
  author:
    - family: Paulin
      given: Daniel
    - family: Mackey
      given: Lester
    - family: Tropp
      given: Joel A.
  citation-key: PaulinEfron2016
  container-title: The Annals of Probability
  DOI: 10.1214/15-AOP1054
  ISSN: 0091-1798, 2168-894X
  issue: '5'
  issued:
    - year: 2016
      month: 9
  page: 3431-3473
  publisher: Institute of Mathematical Statistics
  title: Efron–Stein inequalities for random matrices
  type: article-journal
  volume: '44'

- id: SababhehMatrix2018
  accessed:
    - year: 2023
      month: 2
      day: 13
  author:
    - family: Sababheh
      given: Mohammad
  citation-key: SababhehMatrix2018
  issued:
    - year: 2018
      month: 5
      day: 17
  language: en
  number: arXiv:1805.06613
  publisher: arXiv
  title: On the matrix harmonic mean
  type: article
  URL: http://arxiv.org/abs/1805.06613

- id: SharmaMore2008
  accessed:
    - year: 2023
      month: 4
      day: 25
  author:
    - family: Sharma
      given: Rajesh
  citation-key: SharmaMore2008
  container-title: Journal of Mathematical Inequalities
  DOI: 10.7153/jmi-02-11
  ISSN: 1846-579X
  issue: '1'
  issued:
    - year: 2008
  language: en
  page: 109-114
  title: Some more inequalities for arithmetic mean, harmonic mean and variance
  type: article-journal
  URL: http://jmi.ele-math.com/02-11

- id: StamLimit1982
  accessed:
    - year: 2021
      month: 3
      day: 2
  author:
    - family: Stam
      given: A. J.
  citation-key: StamLimit1982
  container-title: Journal of Applied Probability
  DOI: 10.2307/3213932
  ISSN: 0021-9002
  issue: '1'
  issued:
    - year: 1982
  page: 221-228
  publisher: Applied Probability Trust
  title: >-
    Limit theorems for uniform distributions on spheres in high-dimensional
    euclidean spaces
  type: article-journal
  volume: '19'

- id: TroppIntroduction2015
  accessed:
    - year: 2015
      month: 1
      day: 20
  author:
    - family: Tropp
      given: Joel A.
  citation-key: TroppIntroduction2015
  issued:
    - year: 2015
      month: 1
      day: 7
  title: An Introduction to Matrix Concentration Inequalities
  type: book
  URL: http://arxiv.org/abs/1501.01571

- id: TroppMatrix2019
  archive: Calibre
  author:
    - family: Tropp
      given: Joel
  citation-key: TroppMatrix2019
  issued:
    - year: 2019
      month: 7
      day: 15
  title: Matrix Concentration & Computational Linear Algebra / ENS Short Course
  type: book

- id: UchiyamaResults2020
  accessed:
    - year: 2023
      month: 2
      day: 13
  author:
    - family: Uchiyama
      given: Mitsuru
  citation-key: UchiyamaResults2020
  container-title: Advances in Operator Theory
  container-title-short: Adv. Oper. Theory
  DOI: 10.1007/s43036-019-00036-7
  ISSN: 2538-225X
  issue: '3'
  issued:
    - year: 2020
      month: 7
      day: 1
  language: en
  page: 728-733
  title: Some results on matrix means
  type: article-journal
  volume: '5'

- id: vandeGeerStatistical2014
  accessed:
    - year: 2015
      month: 7
      day: 12
  author:
    - family: Geer
      given: Sara
      non-dropping-particle: van de
  citation-key: vandeGeerStatistical2014
  container-title: arXiv:1409.8557 [math, stat]
  issued:
    - year: 2014
      month: 9
      day: 30
  title: Statistical Theory for High-Dimensional Models
  type: article-journal
  URL: http://arxiv.org/abs/1409.8557

- id: vanHandelStructured2017
  author:
    - family: Handel
      given: Ramon
      non-dropping-particle: van
  citation-key: vanHandelStructured2017
  collection-title: The IMA Volumes in Mathematics and its Applications
  container-title: Convexity and Concentration
  DOI: 10.1007/978-1-4939-7005-6_4
  editor:
    - family: Carlen
      given: Eric
    - family: Madiman
      given: Mokshay
    - family: Werner
      given: Elisabeth M.
  event-place: New York, NY
  ISBN: 978-1-4939-7005-6
  issued:
    - year: 2017
  language: en
  page: 107-156
  publisher: Springer
  publisher-place: New York, NY
  title: Structured Random Matrices
  type: paper-conference
  URL: https://arxiv.org/abs/1610.05200v1

- id: VershyninEstimation2015
  accessed:
    - year: 2021
      month: 3
      day: 16
  author:
    - family: Vershynin
      given: Roman
  citation-key: VershyninEstimation2015
  collection-title: Applied and Numerical Harmonic Analysis
  container-title: 'Sampling Theory, a Renaissance: Compressive Sensing and Other Developments'
  DOI: 10.1007/978-3-319-19749-4_1
  editor:
    - family: Pfander
      given: Götz E.
  event-place: Cham
  ISBN: 978-3-319-19749-4
  issued:
    - year: 2015
  language: en
  page: 3-66
  publisher: Springer International Publishing
  publisher-place: Cham
  title: 'Estimation in High Dimensions: A Geometric Perspective'
  type: chapter
  URL: http://arxiv.org/abs/1405.5103

- id: VershyninFour2016
  accessed:
    - year: 2022
      month: 2
      day: 17
  author:
    - family: Vershynin
      given: Roman
  citation-key: VershyninFour2016
  issued:
    - year: 2016
      month: 12
      day: 20
  language: en
  title: Four lectures on probabilistic methods for data science
  type: article-journal
  URL: https://arxiv.org/abs/1612.06661v2

- id: VershyninHighDimensional2018
  accessed:
    - year: 2020
      month: 2
      day: 28
  author:
    - family: Vershynin
      given: Roman
  citation-key: VershyninHighDimensional2018
  DOI: 10.1017/9781108231596
  edition: '1'
  ISBN: 978-1-108-23159-6 978-1-108-41519-4
  issued:
    - year: 2018
      month: 9
      day: 27
  language: en
  publisher: Cambridge University Press
  title: >-
    High-Dimensional Probability: An Introduction with Applications in Data
    Science
  type: book
  URL: https://www.math.uci.edu/~rvershyn/papers/HDP-book/HDP-book.pdf

- id: VershyninIntroduction2011
  accessed:
    - year: 2021
      month: 3
      day: 16
  author:
    - family: Vershynin
      given: Roman
  citation-key: VershyninIntroduction2011
  container-title: arXiv:1011.3027 [cs, math]
  issued:
    - year: 2011
      month: 11
      day: 23
  language: en
  title: Introduction to the non-asymptotic analysis of random matrices
  type: article-journal
  URL: http://arxiv.org/abs/1011.3027

- id: WainwrightHighdimensional2019
  author:
    - family: Wainwright
      given: Martin
  call-number: QA276.18 .W35 2019
  citation-key: WainwrightHighdimensional2019
  collection-number: '48'
  collection-title: Cambridge series in statistical and probabilistic mathematics
  event-place: Cambridge ; New York, NY
  ISBN: 978-1-108-49802-9
  issued:
    - year: 2019
  number-of-pages: '568'
  publisher: Cambridge University Press
  publisher-place: Cambridge ; New York, NY
  title: 'High-dimensional statistics: a non-asymptotic viewpoint'
  type: book

- 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
...
