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      month: 5
      day: 15
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  citation-key: AchlioptasDatabasefriendly2003
  collection-title: Special Issue on PODS 2001
  container-title: Journal of Computer and System Sciences
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  issued:
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      month: 6
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- id: AnttilaCentral2003
  accessed:
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  container-title: Transactions of the American Mathematical Society
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  page: 4723-4735
  title: The central limit problem for convex bodies
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- id: BecknerGeneralized1989
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- id: BinghamRandom2001
  accessed:
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      month: 11
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    - family: Mannila
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  citation-key: BinghamRandom2001
  collection-title: KDD '01
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  publisher: ACM
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    Random Projection in Dimensionality Reduction: Applications to Image and
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- id: BobkovCentral2003
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    - year: 2021
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  collection-title: Lecture Notes in Mathematics
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  event-place: Berlin, Heidelberg
  ISBN: 978-3-540-36428-3
  issued:
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  language: en
  page: 44-52
  publisher: Springer
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  title: On the Central Limit Property of Convex Bodies
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- id: BobkovConcentration2003
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      day: 16
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      given: S. G.
  citation-key: BobkovConcentration2003
  container-title: The Annals of Probability
  DOI: 10.1214/aop/1046294309
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  page: 195-215
  publisher: Institute of Mathematical Statistics
  title: On concentration of distributions of random weighted sums
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- id: BrehmAsymptotics
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      given: Ulrich
    - family: Voigt
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  citation-key: BrehmAsymptotics
  language: en
  page: '18'
  title: Asymptotics of Cross Sections for Convex Bodiesy
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- id: CandesNearOptimal2006
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    - family: Tao
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  container-title: IEEE Transactions on Information Theory
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  issue: '12'
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  title: >-
    Near-Optimal Signal Recovery From Random Projections: Universal Encoding
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- id: ChatterjeeMultivariate2008
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    - year: 2021
      month: 3
      day: 22
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    - family: Meckes
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  citation-key: ChatterjeeMultivariate2008
  container-title: arXiv:math/0701464
  issued:
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      month: 1
      day: 15
  title: Multivariate normal approximation using exchangeable pairs
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- id: ChikuseStatistics2003
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    - year: 2021
      month: 3
      day: 3
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      given: Yasuko
    - family: 筑瀬
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  citation-key: ChikuseStatistics2003
  event-place: New York, NY
  ISBN: 978-0-387-21540-2
  issued:
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  language: English.
  publisher: Springer New York
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  title: Statistics on Special Manifolds
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- id: DasguptaConcentration2006
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  citation-key: DasguptaConcentration2006
  collection-title: UAI'06
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      day: 13
  page: 114–121
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  title: A concentration theorem for projections
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- id: DasguptaElementary2003
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    - family: Gupta
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  citation-key: DasguptaElementary2003
  container-title: Random Structures & Algorithms
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  DOI: 10.1002/rsa.10073
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  language: en
  page: 60-65
  title: An elementary proof of a theorem of Johnson and Lindenstrauss
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- id: DasguptaExperiments2000
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  citation-key: DasguptaExperiments2000
  collection-title: UAI'00
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  title: Experiments with Random Projection
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- id: DiaconisAsymptotics1984
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      month: 10
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      given: Persi
    - family: Freedman
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  citation-key: DiaconisAsymptotics1984
  container-title: The Annals of Statistics
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  ISSN: 0090-5364
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      month: 9
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  title: Asymptotics of Graphical Projection Pursuit
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- id: DumbgenLowdimensional2013
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    - year: 2021
      month: 3
      day: 12
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    - family: Del Conte-Zerial
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  title: On low-dimensional projections of high-dimensional distributions
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- id: EldanApproximately2010
  accessed:
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      month: 3
      day: 18
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    - family: Klartag
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  container-title: arXiv:1001.0875 [math]
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- id: EldanPointwise2008
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  language: en
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  title: Pointwise estimates for marginals of convex bodies
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- id: FreundLearning2007
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    - year: 2014
      month: 11
      day: 20
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    - family: Dasgupta
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  container-title: Advances in Neural Information Processing Systems
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  title: Learning the structure of manifolds using random projections
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- id: GantertLarge2017
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      month: 3
      day: 12
  author:
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    - family: Kim
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  ISSN: 0091-1798, 2168-894X
  issue: 6B
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      month: 11
  page: 4419-4476
  publisher: Institute of Mathematical Statistics
  title: Large deviations for random projections of $\ell^{p}$ balls
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- id: GuedonConcentration2014
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    - year: 2021
      month: 3
      day: 22
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  citation-key: GuedonConcentration2014
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  DOI: 10.1051/proc/201444002
  editor:
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      given: Arnaud
  ISSN: 1270-900X
  issued:
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      month: 1
  language: en
  page: 47-60
  title: Concentration phenomena in high dimensional geometry
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- id: HallAlmost1993
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    - family: Li
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  container-title: The Annals of Statistics
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  ISSN: 0090-5364
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      month: 6
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  publisher: Institute of Mathematical Statistics
  title: >-
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- id: HarPeledApproximate2012
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      month: 3
      day: 18
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    - family: Indyk
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    - family: Motwani
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  container-title: Theory of Computing
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  ISSN: 1557-2862
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      month: 7
      day: 16
  language: EN
  page: 321-350
  publisher: Theory of Computing Exchange
  title: 'Approximate Nearest Neighbor: Towards Removing the Curse of Dimensionality'
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- id: HoudreConcentration2011
  author:
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      given: Christian
    - family: Ledoux
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    - family: Milman
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  citation-key: HoudreConcentration2011
  ISBN: 978-0-8218-4971-2
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  language: en
  number-of-pages: '226'
  publisher: American Mathematical Soc.
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- id: IndykApproximate1998
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    - family: Motwani
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  citation-key: IndykApproximate1998
  collection-title: STOC '98
  container-title: Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computing
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  page: 604–613
  publisher: ACM
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  title: 'Approximate Nearest Neighbors: Towards Removing the Curse of Dimensionality'
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- id: JiangGeneralized2020
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    - year: 2021
      month: 3
      day: 18
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      given: Haotian
    - family: Lee
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    - family: Vempala
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  citation-key: JiangGeneralized2020
  collection-title: Lecture Notes in Mathematics
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    - family: Milman
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  event-place: Cham
  ISBN: 978-3-030-46762-3
  issued:
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  language: en
  page: 1-41
  publisher: Springer International Publishing
  publisher-place: Cham
  title: A Generalized Central Limit Conjecture for Convex Bodies
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- id: JoarderCharacterization1996
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      day: 22
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    - family: Ali
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  citation-key: JoarderCharacterization1996
  container-title: Journal of Information and Optimization Sciences
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  language: en
  page: 177-184
  title: On the characterization of spherical distributions
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- id: KarRandom2012
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    - year: 2021
      month: 3
      day: 4
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      given: Purushottam
    - family: Karnick
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  citation-key: KarRandom2012
  container-title: Artificial Intelligence and Statistics
  event-title: Artificial Intelligence and Statistics
  ISSN: 1938-7228
  issued:
    - year: 2012
      month: 3
      day: 21
  language: en
  page: 583-591
  publisher: PMLR
  title: Random Feature Maps for Dot Product Kernels
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  URL: http://proceedings.mlr.press/v22/kar12.html

- id: KimAsymptotic2020
  accessed:
    - year: 2021
      month: 3
      day: 18
  author:
    - family: Kim
      given: Steven Soojin
    - family: Liao
      given: Yin-Ting
    - family: Ramanan
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  citation-key: KimAsymptotic2020
  container-title: arXiv:1912.13447 [math]
  issued:
    - year: 2020
      month: 6
      day: 26
  language: en
  title: >-
    An asymptotic thin shell condition and large deviations for random
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  URL: http://arxiv.org/abs/1912.13447

- id: KlartagCentral2007
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    - year: 2021
      month: 3
      day: 18
  author:
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  citation-key: KlartagCentral2007
  container-title: Inventiones mathematicae
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  DOI: 10.1007/s00222-006-0028-8
  ISSN: 0020-9910, 1432-1297
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  title: A Central Limit Theorem for Convex Sets
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- id: KlartagPowerlaw2007
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      month: 3
      day: 18
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      given: B.
  citation-key: KlartagPowerlaw2007
  container-title: Journal of Functional Analysis
  container-title-short: Journal of Functional Analysis
  DOI: 10.1016/j.jfa.2006.12.005
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  issued:
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      month: 4
      day: 1
  language: en
  page: 284-310
  title: Power-law estimates for the central limit theorem for convex sets
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  volume: '245'

- id: LahiriRandom2016
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      day: 25
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      given: Subhaneil
    - family: Gao
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    - family: Ganguli
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  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
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  URL: http://arxiv.org/abs/1607.04331

- id: LiVery2006
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      month: 11
      day: 20
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      given: Ping
    - family: Hastie
      given: Trevor J.
    - family: Church
      given: Kenneth W.
  citation-key: LiVery2006
  collection-title: KDD '06
  container-title: >-
    Proceedings of the 12th ACM SIGKDD International Conference on Knowledge
    Discovery and Data Mining
  DOI: 10.1145/1150402.1150436
  event-place: New York, NY, USA
  ISBN: 1-59593-339-5
  issued:
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  page: 287–296
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Very Sparse Random Projections
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  URL: http://web.stanford.edu/~hastie/Papers/Ping/KDD06_rp.pdf

- id: MeckesApproximation2012
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      month: 3
      day: 16
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      given: Elizabeth
  citation-key: MeckesApproximation2012
  container-title: Journal of Theoretical Probability
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  language: en
  page: 333-352
  title: Approximation of Projections of Random Vectors
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- id: MeckesConcentration2013
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      day: 12
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  citation-key: MeckesConcentration2013
  container-title: Probability Theory and Related Fields
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  language: en
  page: 145-164
  title: Concentration and convergence rates for spectral measures of random matrices
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- id: MeckesGaussian2008
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      month: 3
      day: 18
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  citation-key: MeckesGaussian2008
  container-title: arXiv:math/0606073
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      day: 20
  title: Gaussian marginals of convex bodies with symmetries
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- id: MeckesInfinitesimal2006
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  citation-key: MeckesInfinitesimal2006
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  language: en
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- id: MeckesProjections2012
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  citation-key: MeckesProjections2012
  collection-title: Lecture Notes in Mathematics
  container-title: 'Geometric Aspects of Functional Analysis: Israel Seminar 2006–2010'
  DOI: 10.1007/978-3-642-29849-3_18
  editor:
    - family: Klartag
      given: Bo'az
    - family: Mendelson
      given: Shahar
    - family: Milman
      given: Vitali D.
  event-place: Berlin, Heidelberg
  ISBN: 978-3-642-29849-3
  issued:
    - year: 2012
  language: en
  page: 317-326
  publisher: Springer
  publisher-place: Berlin, Heidelberg
  title: >-
    Projections of Probability Distributions: A Measure-Theoretic Dvoretzky
    Theorem
  type: chapter
  URL: http://arxiv.org/abs/1102.3438

- id: MeckesStein2009
  accessed:
    - year: 2021
      month: 3
      day: 11
  author:
    - family: Meckes
      given: Elizabeth
  citation-key: MeckesStein2009
  container-title: 'High Dimensional Probability V: The Luminy Volume'
  DOI: 10.1214/09-IMSCOLL511
  event-place: Beachwood, Ohio, USA
  ISBN: 978-0-940600-78-2
  issued:
    - year: 2009
      month: 1
      day: 1
  page: 153-178
  publisher: Institute of Mathematical Statistics
  publisher-place: Beachwood, Ohio, USA
  title: On Stein’s method for multivariate normal approximation
  type: chapter
  URL: http://projecteuclid.org/euclid.imsc/1265119267

- id: PaourisConcentration2006
  author:
    - family: Paouris
      given: G
  citation-key: PaourisConcentration2006
  issued:
    - year: 2006
  language: en
  page: '29'
  title: Concentration of mass on convex bodies
  type: article-journal
  volume: '16'

- id: PenaSelfNormalized2008
  author:
    - family: Peña
      given: Victor H.
    - family: Lai
      given: Tze Leung
    - family: Shao
      given: Qi-Man
  citation-key: PenaSelfNormalized2008
  ISBN: 978-3-540-85636-8
  issued:
    - year: 2008
      month: 12
      day: 25
  language: en
  number-of-pages: '273'
  publisher: Springer Science & Business Media
  title: 'Self-Normalized Processes: Limit Theory and Statistical Applications'
  type: book

- id: ReevesConditional2017
  author:
    - family: Reeves
      given: G.
  citation-key: ReevesConditional2017
  container-title: 2017 IEEE International Symposium on Information Theory (ISIT)
  DOI: 10.1109/ISIT.2017.8007089
  event-title: 2017 IEEE International Symposium on Information Theory (ISIT)
  ISSN: 2157-8117
  issued:
    - year: 2017
      month: 6
  page: 3045-3049
  title: Conditional central limit theorems for Gaussian projections
  type: paper-conference

- id: ReinertMultivariate2007
  accessed:
    - year: 2021
      month: 3
      day: 22
  author:
    - family: Reinert
      given: Gesine
    - family: Röllin
      given: Adrian
  citation-key: ReinertMultivariate2007
  DOI: 10.1214/09-AOP467
  issued:
    - year: 2007
      month: 11
      day: 7
  language: en
  title: >-
    Multivariate normal approximation with Stein's method of exchangeable pairs
    under a general linearity condition
  type: article-journal
  URL: https://arxiv.org/abs/0711.1082v3

- id: RudelsonHansonWright2013
  accessed:
    - year: 2021
      month: 3
      day: 18
  author:
    - family: Rudelson
      given: Mark
    - family: Vershynin
      given: Roman
  citation-key: RudelsonHansonWright2013
  container-title: Electronic Communications in Probability
  DOI: 10.1214/ECP.v18-2865
  ISSN: 1083-589X
  issue: none
  issued:
    - year: 2013
      month: 1
  page: 1-9
  publisher: Institute of Mathematical Statistics and Bernoulli Society
  title: Hanson-Wright inequality and sub-gaussian concentration
  type: article-journal
  volume: '18'

- 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: SodinTailSensitive2007
  accessed:
    - year: 2021
      month: 3
      day: 16
  author:
    - family: Sodin
      given: S.
  citation-key: SodinTailSensitive2007
  container-title: Geometric Aspects of Functional Analysis
  DOI: 10.1007/978-3-540-72053-9_16
  editor:
    - family: Milman
      given: Vitali D.
    - family: Schechtman
      given: Gideon
  event-place: Berlin, Heidelberg
  ISBN: 978-3-540-72052-2
  issued:
    - year: 2007
  language: en
  page: 271-295
  publisher: Springer Berlin Heidelberg
  publisher-place: Berlin, Heidelberg
  title: >-
    Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures
    in High Dimension
  type: chapter
  URL: http://arxiv.org/abs/math/0501382
  volume: '1910'

- 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: SteinBound1972
  accessed:
    - year: 2021
      month: 3
      day: 21
  author:
    - family: Stein
      given: Charles
  citation-key: SteinBound1972
  container-title: >-
    Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and
    Probability, Volume 2: Probability Theory
  issued:
    - year: 1972
      month: 1
      day: 1
  page: 583-602
  publisher: University of California Press
  title: >-
    A bound for the error in the normal approximation to the distribution of a
    sum of dependent random variables
  type: article-journal
  URL: >-
    https://projecteuclid.org/ebooks/berkeley-symposium-on-mathematical-statistics-and-probability/Proceedings-of-the-Sixth-Berkeley-Symposium-on-Mathematical-Statistics-and/chapter/A-bound-for-the-error-in-the-normal-approximation-to/bsmsp/1200514239

- 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: 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: vonWeizsackerSudakov1997
  accessed:
    - year: 2021
      month: 3
      day: 16
  author:
    - family: Weizsäcker
      given: Heinrich
      non-dropping-particle: von
  citation-key: vonWeizsackerSudakov1997
  container-title: Probability Theory and Related Fields
  container-title-short: Probability Theory and Related Fields
  DOI: 10.1007/s004400050087
  ISSN: 0178-8051, 1432-2064
  issue: '3'
  issued:
    - year: 1997
      month: 3
      day: 19
  language: en
  page: 313-324
  title: >-
    Sudakov's typical marginals, random linear functionals and a conditional
    central limit theorem
  type: article-journal
  volume: '107'

- 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: 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/
...
