---
references:
- id: AchlioptasFast2007
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Achlioptas
      given: Dimitris
    - family: Mcsherry
      given: Frank
  citation-key: AchlioptasFast2007
  container-title: J. ACM
  DOI: 10.1145/1219092.1219097
  ISSN: 0004-5411
  issue: '2'
  issued:
    - year: 2007
      month: 4
  title: Fast Computation of Low-rank Matrix Approximations
  type: article-journal
  URL: http://web.stanford.edu/class/ee378b/papers/achlioptas.pdf
  volume: '54'

- id: AchlioptasSpectral2005
  accessed:
    - year: 2016
      month: 6
      day: 6
  author:
    - family: Achlioptas
      given: Dimitris
    - family: McSherry
      given: Frank
  citation-key: AchlioptasSpectral2005
  collection-title: Lecture Notes in Computer Science
  container-title: Learning Theory
  DOI: 10.1007/11503415_31
  editor:
    - family: Auer
      given: Peter
    - family: Meir
      given: Ron
  ISBN: 978-3-540-26556-6 978-3-540-31892-7
  issued:
    - year: 2005
      month: 6
      day: 27
  language: en
  page: 458-469
  publisher: Springer Berlin Heidelberg
  title: On Spectral Learning of Mixtures of Distributions
  type: paper-conference
  URL: http://research.microsoft.com/apps/pubs/default.aspx?id=65077

- id: AnandkumarMethod2012
  accessed:
    - year: 2016
      month: 7
      day: 6
  author:
    - family: Anandkumar
      given: Animashree
    - family: Hsu
      given: Daniel
    - family: Kakade
      given: Sham M.
  citation-key: AnandkumarMethod2012
  container-title: Journal of Machine Learning Research
  issued:
    - year: 2012
  title: A Method of Moments for Mixture Models and Hidden Markov Models.
  type: paper-conference
  URL: http://www.jmlr.org/proceedings/papers/v23/anandkumar12/anandkumar12.pdf

- id: AndoNonlinear2008
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Ando
      given: Tomohiro
    - family: Konishi
      given: Sadanori
    - family: Imoto
      given: Seiya
  citation-key: AndoNonlinear2008
  collection-title: >-
    Special Issue in Honor of Junjiro Ogawa (1915 - 2000): Design of
    Experiments, Multivariate Analysis and Statistical Inference
  container-title: Journal of Statistical Planning and Inference
  container-title-short: Journal of Statistical Planning and Inference
  DOI: 10.1016/j.jspi.2005.07.014
  ISSN: 0378-3758
  issue: '11'
  issued:
    - year: 2008
      month: 11
      day: 1
  page: 3616-3633
  title: Nonlinear regression modeling via regularized radial basis function networks
  type: article-journal
  volume: '138'

- id: AroraLearning2001
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Arora
      given: Sanjeev
    - family: Kannan
      given: Ravi
  citation-key: AroraLearning2001
  collection-title: STOC '01
  container-title: Proceedings of the Thirty-third Annual ACM Symposium on Theory of Computing
  DOI: 10.1145/380752.380808
  event-place: New York, NY, USA
  ISBN: 978-1-58113-349-3
  issued:
    - year: 2001
  page: 247–257
  publisher: ACM
  publisher-place: New York, NY, USA
  title: Learning Mixtures of Arbitrary Gaussians
  type: paper-conference
  URL: http://www.stat.purdue.edu/~yuzhu/stat598m3/Papers/LearnMix.pdf

- id: AwasthiImproved2012
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Awasthi
      given: Pranjal
    - family: Sheffet
      given: Or
  citation-key: AwasthiImproved2012
  container-title: arXiv preprint arXiv:1206.3204
  issued:
    - year: 2012
  title: Improved Spectral-Norm Bounds for Clustering
  type: article-journal
  URL: http://www.cs.rutgers.edu/~pa336/static/pub/clustering-spectral.pdf

- id: AwasthiRelax2015
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Awasthi
      given: Pranjal
    - family: Bandeira
      given: Afonso S.
    - family: Charikar
      given: Moses
    - family: Krishnaswamy
      given: Ravishankar
    - family: Villar
      given: Soledad
    - family: Ward
      given: Rachel
  citation-key: AwasthiRelax2015
  collection-title: ITCS '15
  container-title: >-
    Proceedings of the 2015 Conference on Innovations in Theoretical Computer
    Science
  DOI: 10.1145/2688073.2688116
  event-place: New York, NY, USA
  ISBN: 978-1-4503-3333-7
  issued:
    - year: 2015
  page: 191–200
  publisher: ACM
  publisher-place: New York, NY, USA
  title: 'Relax, No Need to Round: Integrality of Clustering Formulations'
  type: paper-conference
  URL: http://arxiv.org/abs/1408.4045

- id: BachBreaking2014
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Bach
      given: Francis
  citation-key: BachBreaking2014
  container-title: arXiv:1412.8690 [cs, math, stat]
  issued:
    - year: 2014
      month: 12
      day: 30
  title: Breaking the Curse of Dimensionality with Convex Neural Networks
  type: article-journal
  URL: http://arxiv.org/abs/1412.8690

- id: BarronApproximation1994
  accessed:
    - year: 2016
      month: 7
      day: 11
  author:
    - family: Barron
      given: Andrew R.
  citation-key: BarronApproximation1994
  container-title: Machine Learning
  DOI: 10.1023/A:1022650905902
  ISSN: 0885-6125
  issue: '1'
  issued:
    - year: 1994
      month: 1
  page: 115–133
  title: Approximation and Estimation Bounds for Artificial Neural Networks
  type: article-journal
  URL: >-
    http://www.stat.yale.edu/~arb4/publications_files/approximation%20and%20estimation%20bounds%20for%20artificial%20neural%20networks.pdf
  volume: '14'

- id: BarronComplexity1991
  accessed:
    - year: 2016
      month: 7
      day: 11
  author:
    - family: Barron
      given: Andrew R.
  citation-key: BarronComplexity1991
  collection-number: '335'
  collection-title: NATO ASI Series
  container-title: Nonparametric Functional Estimation and Related Topics
  DOI: 10.1007/978-94-011-3222-0_42
  editor:
    - family: Roussas
      given: George
  ISBN: 978-94-010-5420-1 978-94-011-3222-0
  issued:
    - year: 1991
  language: en
  page: 561-576
  publisher: Springer Netherlands
  title: Complexity Regularization with Application to Artificial Neural Networks
  type: chapter
  URL: >-
    http://www.stat.yale.edu/~arb4/publications_files/complexity%20regulaion%20with%20application%20to%20artificial%20nural%20networks.pdf

- id: BarronMDL2008
  accessed:
    - year: 2016
      month: 5
      day: 4
  author:
    - family: Barron
      given: Andrew R.
    - family: Huang
      given: Cong
    - family: Li
      given: Jonathan Q.
    - family: Luo
      given: Xi
  citation-key: BarronMDL2008
  container-title: Information Theory Workshop, 2008. ITW'08. IEEE
  DOI: 10.1109/ITW.2008.4578660
  issued:
    - year: 2008
  page: 247–257
  publisher: IEEE
  title: MDL, penalized likelihood, and statistical risk
  type: paper-conference
  URL: >-
    http://www.stat.yale.edu/~arb4/publications_files/MDLpenalizedLikelihoodStatisticalRiskITW.pdf

- id: BarronMinimum1991
  author:
    - family: Barron
      given: A. R.
    - family: Cover
      given: T. M.
  citation-key: BarronMinimum1991
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.86996
  ISSN: 0018-9448
  issue: '4'
  issued:
    - year: 1991
      month: 7
  page: 1034-1054
  title: Minimum complexity density estimation
  type: article-journal
  URL: http://www-isl.stanford.edu/~cover/papers/transIT/1034barr.pdf
  volume: '37'

- id: BarronMinimum1998
  author:
    - family: Barron
      given: A.
    - family: Rissanen
      given: J.
    - family: Yu
      given: Bin
  citation-key: BarronMinimum1998
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.720554
  ISSN: 0018-9448
  issue: '6'
  issued:
    - year: 1998
      month: 10
  page: 2743-2760
  title: The minimum description length principle in coding and modeling
  type: article-journal
  volume: '44'

- id: BarronUniversal1993
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Barron
      given: A.R.
  citation-key: BarronUniversal1993
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.256500
  ISSN: '00189448'
  issue: '3'
  issued:
    - year: 1993
      month: 5
  page: 930-945
  title: Universal approximation bounds for superpositions of a sigmoidal function
  type: article-journal
  URL: http://deeplearning.cs.cmu.edu/pdfs/Barron.pdf
  volume: '39'

- id: BatteyConditional2013
  accessed:
    - year: 2015
      month: 11
      day: 23
  author:
    - family: Battey
      given: Heather
    - family: Sancetta
      given: Alessio
  citation-key: BatteyConditional2013
  container-title: Journal of Multivariate Analysis
  container-title-short: Journal of Multivariate Analysis
  DOI: 10.1016/j.jmva.2013.04.009
  ISSN: 0047-259X
  issued:
    - year: 2013
      month: 9
  page: 1-17
  title: Conditional estimation for dependent functional data
  type: article-journal
  URL: https://www.princeton.edu/~hbattey/BSJMVAPreprintb.pdf
  volume: '120'

- id: BatteyNonparametric2014
  accessed:
    - year: 2015
      month: 11
      day: 23
  author:
    - family: Battey
      given: Heather
    - family: Linton
      given: Oliver
  citation-key: BatteyNonparametric2014
  container-title: Journal of Multivariate Analysis
  container-title-short: Journal of Multivariate Analysis
  DOI: 10.1016/j.jmva.2013.08.013
  ISSN: 0047-259X
  issued:
    - year: 2014
      month: 1
  page: 43-67
  title: >-
    Nonparametric estimation of multivariate elliptic densities via finite
    mixture sieves
  type: article-journal
  URL: https://www.princeton.edu/~hbattey/BLLongvAccepted20130821c.pdf
  volume: '123'

- id: BatteyNonparametrically2016
  accessed:
    - year: 2016
      month: 6
      day: 6
  author:
    - family: Battey
      given: Heather
    - family: Liu
      given: Han
  citation-key: BatteyNonparametrically2016
  issued:
    - year: 2016
  title: Nonparametrically filtered parametric density estimation
  type: article-journal
  URL: http://www.princeton.edu/~hbattey/SPE20160423.pdf

- id: BatteySmooth2013
  accessed:
    - year: 2015
      month: 11
      day: 23
  author:
    - family: Battey
      given: Heather
    - family: Liu
      given: Han
  citation-key: BatteySmooth2013
  container-title: arXiv:1308.3968 [stat]
  issued:
    - year: 2013
      month: 8
      day: 19
  title: Smooth projected density estimation
  type: article-journal
  URL: http://arxiv.org/abs/1308.3968

- id: BelkinBasis2016
  accessed:
    - year: 2016
      month: 8
      day: 15
  author:
    - family: Belkin
      given: Mikhail
    - family: Rademacher
      given: Luis
    - family: Voss
      given: James
  citation-key: BelkinBasis2016
  container-title: Journal of Machine Learning Research
  event-title: 29th Annual Conference on Learning Theory
  issued:
    - year: 2016
  page: 446-487
  title: Basis Learning as an Algorithmic Primitive
  type: paper-conference
  URL: http://www.jmlr.org/proceedings/papers/v49/belkin16.html

- id: BengioConvex2005
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Bengio
      given: Yoshua
    - family: Roux
      given: Nicolas L.
    - family: Vincent
      given: Pascal
    - family: Delalleau
      given: Olivier
    - family: Marcotte
      given: Patrice
  citation-key: BengioConvex2005
  container-title: Advances in neural information processing systems
  issued:
    - year: 2005
  page: 123–130
  publisher: MIT Press
  title: Convex neural networks
  type: paper-conference
  URL: http://machinelearning.wustl.edu/mlpapers/paper_files/NIPS2005_583.pdf
  volume: '18'

- id: BeranMinimum1977
  accessed:
    - year: 2016
      month: 7
      day: 20
  author:
    - family: Beran
      given: Rudolf
  citation-key: BeranMinimum1977
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176343842
  ISSN: 0090-5364, 2168-8966
  issue: '3'
  issued:
    - year: 1977
      month: 5
  language: EN
  page: 445-463
  title: Minimum Hellinger Distance Estimates for Parametric Models
  type: article-journal
  volume: '5'

- id: BertinAdaptive2011
  accessed:
    - year: 2016
      month: 9
      day: 15
  author:
    - family: Bertin
      given: K.
    - family: Pennec
      given: E. Le
    - family: Rivoirard
      given: V.
  citation-key: BertinAdaptive2011
  container-title: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
  container-title-short: Ann. Inst. H. Poincaré Probab. Statist.
  DOI: 10.1214/09-AIHP351
  ISSN: 0246-0203
  issue: '1'
  issued:
    - year: 2011
      month: 2
  language: EN
  page: 43-74
  title: Adaptive Dantzig density estimation
  type: article-journal
  volume: '47'

- id: BirgeHow2006
  accessed:
    - year: 2016
      month: 9
      day: 15
  author:
    - family: Birgé
      given: Lucien
    - family: Rozenholc
      given: Yves
  citation-key: BirgeHow2006
  container-title: 'ESAIM: Probability and Statistics'
  DOI: 10.1051/ps:2006001
  ISSN: 1292-8100, 1262-3318
  issued:
    - year: 2006
      month: 2
  page: 24-45
  title: How many bins should be put in a regular histogram
  type: article-journal
  URL: http://www.esaim-ps.org/10.1051/ps:2006001
  volume: '10'

- id: BishopImproving1991
  accessed:
    - year: 2016
      month: 9
      day: 15
  author:
    - family: Bishop
      given: Chris
  citation-key: BishopImproving1991
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/neco.1991.3.4.579
  ISSN: 0899-7667
  issue: '4'
  issued:
    - year: 1991
      month: 12
      day: 1
  page: 579-588
  title: >-
    Improving the Generalization Properties of Radial Basis Function Neural
    Networks
  type: article-journal
  volume: '3'

- id: BishopMixture1994
  author:
    - family: Bishop
      given: Christopher
  citation-key: BishopMixture1994
  container-title: Microsoft Research
  issued:
    - year: 1994
      month: 1
      day: 1
  title: Mixture Density Networks
  type: article-journal
  URL: >-
    https://www.microsoft.com/en-us/research/publication/mixture-density-networks/

- id: BoydSaturating2016
  accessed:
    - year: 2016
      month: 9
      day: 28
  author:
    - family: Boyd
      given: Nicholas
    - family: Hastie
      given: Trevor
    - family: Boyd
      given: Stephen
    - family: Recht
      given: Benjamin
    - family: Jordan
      given: Michael
  citation-key: BoydSaturating2016
  container-title: arXiv:1609.06764 [stat]
  issued:
    - year: 2016
      month: 9
      day: 21
  title: Saturating Splines and Feature Selection
  type: article-journal
  URL: http://arxiv.org/abs/1609.06764

- id: CheneyCourse2009
  author:
    - family: Cheney
      given: Elliott Ward
    - family: Light
      given: William Allan
  citation-key: CheneyCourse2009
  ISBN: 978-0-8218-4798-5
  issued:
    - year: 2009
      month: 1
      day: 13
  language: en
  number-of-pages: '379'
  publisher: American Mathematical Soc.
  title: A Course in Approximation Theory
  type: book
  URL: >-
    https://books.google.com.au/books?hl=en&lr=&id=II6DAwAAQBAJ&oi=fnd&pg=PA1&ots=ch9-LyxDg6&sig=jetWpIErExYvlnnSsup-5yHhso0

- id: ChenOptimal1995
  accessed:
    - year: 2016
      month: 8
      day: 1
  author:
    - family: Chen
      given: Jiahua
  citation-key: ChenOptimal1995
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176324464
  ISSN: 0090-5364, 2168-8966
  issue: '1'
  issued:
    - year: 1995
      month: 2
  language: EN
  page: 221-233
  title: Optimal Rate of Convergence for Finite Mixture Models
  type: article-journal
  volume: '23'

- id: ChristianBauckhageLecture2015
  accessed:
    - year: 2016
      month: 9
      day: 12
  author:
    - literal: Christian Bauckhage
  citation-key: ChristianBauckhageLecture2015
  DOI: 10.13140/RG.2.1.3582.6643
  issued:
    - year: 2015
  title: 'Lecture Notes on Data Science: Soft k-Means Clustering'
  type: article-journal
  URL: >-
    https://www.researchgate.net/publication/283327156_Lecture_Notes_on_Data_Science_Soft_k-Means_Clustering

- id: CohenEstimating1950
  accessed:
    - year: 2016
      month: 5
      day: 2
  author:
    - family: Cohen
      given: A. C.
  citation-key: CohenEstimating1950
  container-title: The Annals of Mathematical Statistics
  container-title-short: Ann. Math. Statist.
  DOI: 10.1214/aoms/1177729751
  ISSN: 0003-4851, 2168-8990
  issue: '4'
  issued:
    - year: 1950
      month: 12
  language: EN
  page: 557-569
  title: >-
    Estimating the Mean and Variance of Normal Populations from Singly Truncated
    and Doubly Truncated Samples
  type: article-journal
  volume: '21'

- id: CohenJrEstimating1949
  accessed:
    - year: 2016
      month: 5
      day: 16
  author:
    - family: Cohen, Jr
      given: A. C.
  citation-key: CohenJrEstimating1949
  container-title: Journal of the American Statistical Association
  DOI: 10.1080/01621459.1949.10483324
  ISSN: 0162-1459
  issue: '248'
  issued:
    - year: 1949
      month: 12
      day: 1
  page: 518-525
  title: >-
    On Estimating the Mean and Standard Deviation of Truncated Normal
    Distributions
  type: article-journal
  volume: '44'

- id: DanielyClustering2012
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Daniely
      given: Amit
    - family: Linial
      given: Nati
    - family: Saks
      given: Michael
  citation-key: DanielyClustering2012
  container-title: arXiv:1205.4891 [cs]
  issued:
    - year: 2012
      month: 5
      day: 22
  title: Clustering is difficult only when it does not matter
  type: article-journal
  URL: http://arxiv.org/abs/1205.4891

- id: DasGuptaAsymptotic2008
  accessed:
    - year: 2013
      month: 3
      day: 13
  author:
    - family: DasGupta
      given: Anirban
  call-number: QA276 .D3254 2008
  citation-key: DasGuptaAsymptotic2008
  collection-title: Springer Texts in Statistics
  event-place: New York
  ISBN: 978-0-387-75970-8 978-0-387-75971-5
  issued:
    - year: 2008
      month: 1
      day: 1
  number-of-pages: '722'
  publisher: Springer New York
  publisher-place: New York
  title: Asymptotic Theory of Statistics and Probability
  type: book
  URL: http://link.springer.com/10.1007/978-0-387-75971-5

- id: DasguptaLearning1999
  accessed:
    - year: 2016
      month: 4
      day: 11
  author:
    - family: Dasgupta
      given: Sanjoy
  citation-key: DasguptaLearning1999
  container-title: Foundations of Computer Science, 1999. 40th Annual Symposium on
  DOI: 10.1109/SFFCS.1999.814639
  event-title: 40th Annual Symposium on Foundations of Computer Science, 1999
  issued:
    - year: 1999
  page: 634–644
  publisher: IEEE
  title: Learning mixtures of Gaussians
  type: paper-conference
  URL: http://cseweb.ucsd.edu/~dasgupta/papers/mog.pdf

- id: DasguptaProbabilistic2007
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Dasgupta
      given: Sanjoy
    - family: Schulman
      given: Leonard
  citation-key: DasguptaProbabilistic2007
  container-title: Journal of Machine Learning Research
  ISSN: ISSN 1533-7928
  issue: Feb
  issued:
    - year: 2007
  page: 203-226
  title: >-
    A Probabilistic Analysis of EM for Mixtures of Separated, Spherical
    Gaussians
  type: article-journal
  URL: http://www.jmlr.org/papers/v8/dasgupta07a.html
  volume: '8'

- id: DehaeneExpectation2016
  author:
    - family: Dehaene
      given: Guillaume P.
  citation-key: DehaeneExpectation2016
  container-title: arXiv:1612.05053 [stat]
  issued:
    - year: 2016
      month: 12
      day: 15
  title: Expectation Propagation performs a smoothed gradient descent
  type: article-journal
  URL: http://arxiv.org/abs/1612.05053

- id: DonohoDensity1996
  accessed:
    - year: 2018
      month: 5
      day: 8
  author:
    - family: Donoho
      given: David L.
    - family: Johnstone
      given: Iain M.
    - family: Kerkyacharian
      given: Gerard
    - family: Picard
      given: Dominique
  citation-key: DonohoDensity1996
  container-title: The Annals of Statistics
  DOI: 10.1214/aos/1032894451
  ISSN: 0090-5364
  issue: '2'
  issued:
    - year: 1996
  page: 508-539
  title: Density Estimation by Wavelet Thresholding
  type: article-journal
  volume: '24'

- id: DunsonBayesian2007
  accessed:
    - year: 2019
      month: 10
      day: 15
  author:
    - family: Dunson
      given: David B.
    - family: Pillai
      given: Natesh
    - family: Park
      given: Ju-Hyun
  citation-key: DunsonBayesian2007
  container-title: 'Journal of the Royal Statistical Society: Series B (Statistical Methodology)'
  DOI: 10.1111/j.1467-9868.2007.00582.x
  ISSN: 1467-9868
  issue: '2'
  issued:
    - year: 2007
  language: en
  page: 163-183
  title: Bayesian density regression
  type: article-journal
  volume: '69'

- id: EilersFlexible1996
  accessed:
    - year: 2016
      month: 7
      day: 20
  author:
    - family: Eilers
      given: Paul H. C.
    - family: Marx
      given: Brian D.
  citation-key: EilersFlexible1996
  container-title: Statistical Science
  container-title-short: Statist. Sci.
  DOI: 10.1214/ss/1038425655
  ISSN: 0883-4237, 2168-8745
  issue: '2'
  issued:
    - year: 1996
      month: 5
  page: 89-121
  title: Flexible smoothing with B-splines and penalties
  type: article-journal
  volume: '11'

- id: FanOptimal1991
  accessed:
    - year: 2015
      month: 5
      day: 30
  author:
    - family: Fan
      given: Jianqing
  citation-key: FanOptimal1991
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176348248
  ISSN: 0090-5364, 2168-8966
  issue: '3'
  issued:
    - year: 1991
      month: 9
  language: EN
  page: 1257-1272
  title: On the Optimal Rates of Convergence for Nonparametric Deconvolution Problems
  type: article-journal
  volume: '19'

- id: GemanNonparametric1982
  accessed:
    - year: 2016
      month: 5
      day: 30
  author:
    - family: Geman
      given: Stuart
    - family: Hwang
      given: Chii-Ruey
  citation-key: GemanNonparametric1982
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176345782
  ISSN: 0090-5364, 2168-8966
  issue: '2'
  issued:
    - year: 1982
      month: 6
  language: EN
  page: 401-414
  title: Nonparametric Maximum Likelihood Estimation by the Method of Sieves
  type: article-journal
  volume: '10'

- id: GenoveseRates2000
  accessed:
    - year: 2016
      month: 5
      day: 25
  author:
    - family: Genovese
      given: Christopher R.
    - family: Wasserman
      given: Larry
  citation-key: GenoveseRates2000
  container-title: Annals of Statistics
  issued:
    - year: 2000
  page: 1105–1127
  title: Rates of convergence for the Gaussian mixture sieve
  type: article-journal
  URL: http://www.jstor.org/stable/2673956

- id: GershoVector2012
  author:
    - family: Gersho
      given: Allen
    - family: Gray
      given: Robert M.
  citation-key: GershoVector2012
  ISBN: 978-1-4615-3626-0
  issued:
    - year: 2012
      month: 12
      day: 6
  language: en
  number-of-pages: '737'
  publisher: Springer Science & Business Media
  title: Vector Quantization and Signal Compression
  type: book

- id: GhosalEntropies2001
  accessed:
    - year: 2016
      month: 8
      day: 2
  author:
    - family: Ghosal
      given: Subhashis
    - family: Vaart
      given: Aad W.
      non-dropping-particle: van der
  citation-key: GhosalEntropies2001
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1013203452
  ISSN: 0090-5364, 2168-8966
  issue: '5'
  issued:
    - year: 2001
      month: 10
  page: 1233-1263
  title: >-
    Entropies and rates of convergence for maximum likelihood and Bayes
    estimation for mixtures of normal densities
  type: article-journal
  URL: http://www4.stat.ncsu.edu/~sghosal/papers/dirmix.pdf
  volume: '29'

- id: GrayVector1984
  author:
    - family: Gray
      given: R.
  citation-key: GrayVector1984
  container-title: IEEE ASSP Magazine
  DOI: 10.1109/MASSP.1984.1162229
  ISSN: 0740-7467
  issue: '2'
  issued:
    - year: 1984
      month: 4
  page: 4-29
  title: Vector quantization
  type: article-journal
  volume: '1'

- id: HaldMaximum1949
  accessed:
    - year: 2016
      month: 5
      day: 2
  author:
    - family: Hald
      given: A.
  citation-key: HaldMaximum1949
  container-title: Scandinavian Actuarial Journal
  DOI: 10.1080/03461238.1949.10419767
  ISSN: 0346-1238
  issue: '1'
  issued:
    - year: 1949
      month: 1
      day: 1
  page: 119-134
  title: >-
    Maximum Likelihood Estimation of the Parameters of a Normal Distribution
    which is Truncated at a Known Point
  type: article-journal
  volume: '1949'

- id: HallKullbackLeibler1987
  accessed:
    - year: 2016
      month: 5
      day: 25
  author:
    - family: Hall
      given: Peter
  citation-key: HallKullbackLeibler1987
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176350606
  ISSN: 0090-5364, 2168-8966
  issue: '4'
  issued:
    - year: 1987
      month: 12
  language: EN
  page: 1491-1519
  title: On Kullback-Leibler Loss and Density Estimation
  type: article-journal
  volume: '15'

- id: HeigoldEquivalence2007
  author:
    - family: Heigold
      given: Georg
    - family: Schlüter
      given: Ralf
    - family: Ney
      given: Hermann
  citation-key: HeigoldEquivalence2007
  container-title: >-
    Eighth Annual Conference of the International Speech Communication
    Association
  issued:
    - year: 2007
  title: >-
    On the Equivalence of Gaussian HMM and Gaussian HMM-Like Hidden Conditional
    Random Fields
  type: paper-conference
  URL: >-
    http://www-i6.informatik.rwth-aachen.de/publications/download/282/Heigold--2007.pdf

- id: HintonDeep2012
  author:
    - family: Hinton
      given: G.
    - family: Deng
      given: Li
    - family: Yu
      given: Dong
    - family: Dahl
      given: G.E.
    - family: Mohamed
      given: A.
    - family: Jaitly
      given: N.
    - family: Senior
      given: A.
    - family: Vanhoucke
      given: V.
    - family: Nguyen
      given: P.
    - family: Sainath
      given: T.N.
    - family: Kingsbury
      given: B.
  citation-key: HintonDeep2012
  container-title: IEEE Signal Processing Magazine
  DOI: 10.1109/MSP.2012.2205597
  ISSN: 1053-5888
  issue: '6'
  issued:
    - year: 2012
      month: 11
  page: 82-97
  title: >-
    Deep Neural Networks for Acoustic Modeling in Speech Recognition: The Shared
    Views of Four Research Groups
  type: article-journal
  volume: '29'

- id: HsuLearning2013
  accessed:
    - year: 2016
      month: 6
      day: 6
  author:
    - family: Hsu
      given: Daniel
    - family: Kakade
      given: Sham M.
  citation-key: HsuLearning2013
  collection-title: ITCS '13
  container-title: >-
    Proceedings of the 4th Conference on Innovations in Theoretical Computer
    Science
  DOI: 10.1145/2422436.2422439
  event-place: New York, NY, USA
  ISBN: 978-1-4503-1859-4
  issued:
    - year: 2013
  page: 11–20
  publisher: ACM
  publisher-place: New York, NY, USA
  title: >-
    Learning Mixtures of Spherical Gaussians: Moment Methods and Spectral
    Decompositions
  type: paper-conference
  URL: http://arxiv.org/abs/1206.5766

- id: HuangRisk2008
  accessed:
    - year: 2016
      month: 8
      day: 2
  author:
    - family: Huang
      given: Cong
    - family: Cheang
      given: G. L. H.
    - family: Barron
      given: Andrew R.
  citation-key: HuangRisk2008
  issued:
    - year: 2008
  title: >-
    Risk of penalized least squares, greedy selection and l1 penalization for
    flexible function libraries
  type: article-journal
  URL: >-
    http://www.stat.yale.edu/~arb4/publications_files/RiskGreedySelectionAndL1penalization.pdf

- id: IbragimovEstimation2001
  accessed:
    - year: 2016
      month: 8
      day: 3
  author:
    - family: Ibragimov
      given: I.
  citation-key: IbragimovEstimation2001
  container-title: Institute of Mathematical Statistics Lecture Notes - Monograph Series
  event-place: Beachwood, OH
  ISBN: 978-0-940600-50-8
  issued:
    - year: 2001
  language: en
  page: 359-383
  publisher: Institute of Mathematical Statistics
  publisher-place: Beachwood, OH
  title: Estimation of analytic functions
  type: chapter
  URL: http://projecteuclid.org/euclid.lnms/1215090078

- id: IguchiProbably2015
  accessed:
    - year: 2016
      month: 7
      day: 12
  author:
    - family: Iguchi
      given: Takayuki
    - family: Mixon
      given: Dustin G.
    - family: Peterson
      given: Jesse
    - family: Villar
      given: Soledad
  citation-key: IguchiProbably2015
  container-title: arXiv:1509.07983 [cs, math, stat]
  issued:
    - year: 2015
      month: 9
      day: 26
  title: Probably certifiably correct k-means clustering
  type: article-journal
  URL: http://arxiv.org/abs/1509.07983

- id: JawitzMoments2004
  accessed:
    - year: 2016
      month: 5
      day: 16
  author:
    - family: Jawitz
      given: James W.
  citation-key: JawitzMoments2004
  container-title: Advances in Water Resources
  container-title-short: Advances in Water Resources
  DOI: 10.1016/j.advwatres.2003.12.002
  ISSN: 0309-1708
  issue: '3'
  issued:
    - year: 2004
      month: 3
  page: 269-281
  title: Moments of truncated continuous univariate distributions
  type: article-journal
  volume: '27'

- 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: KonishiInformation2008
  author:
    - family: Konishi
      given: Sadanori
    - family: Kitagawa
      given: G.
  call-number: QA274.2 .K667 2008
  citation-key: KonishiInformation2008
  collection-title: Springer series in statistics
  event-place: New York
  ISBN: 978-0-387-71886-6 978-0-387-71887-3
  issued:
    - year: 2008
  number-of-pages: '273'
  publisher: Springer
  publisher-place: New York
  title: Information criteria and statistical modeling
  type: book

- id: KumarClustering2010
  author:
    - family: Kumar
      given: A.
    - family: Kannan
      given: R.
  citation-key: KumarClustering2010
  container-title: 2010 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS)
  DOI: 10.1109/FOCS.2010.35
  event-title: 2010 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS)
  issued:
    - year: 2010
      month: 10
  page: 299-308
  title: Clustering with Spectral Norm and the k-Means Algorithm
  type: paper-conference
  URL: http://arxiv.org/abs/1004.1823

- 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: LeeEM2012
  accessed:
    - year: 2016
      month: 4
      day: 28
  author:
    - family: Lee
      given: Gyemin
    - family: Scott
      given: Clayton
  citation-key: LeeEM2012
  container-title: Computational Statistics & Data Analysis
  DOI: 10.1016/j.csda.2012.03.003
  ISSN: '01679473'
  issue: '9'
  issued:
    - year: 2012
      month: 9
  language: en
  page: 2816-2829
  title: >-
    EM algorithms for multivariate Gaussian mixture models with truncated and
    censored data
  type: article-journal
  volume: '56'

- id: LeeGeneralized2006
  author:
    - family: Lee
      given: Youngjo.
    - family: Nelder
      given: John A.
    - family: Pawitan
      given: Yudi
  call-number: P 519.5/191
  citation-key: LeeGeneralized2006
  collection-title: Monographs on statistics and applied probability 106
  event-place: Boca Raton, FL
  ISBN: 978-1-58488-631-0
  issued:
    - year: 2006
  language: eng
  number-of-pages: '396'
  publisher: Chapman & Hall/CRC
  publisher-place: Boca Raton, FL
  title: Generalized linear models with random effects
  type: book

- 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: LeungInformation2006
  accessed:
    - year: 2016
      month: 6
      day: 20
  author:
    - family: Leung
      given: G.
    - family: Barron
      given: A.R.
  citation-key: LeungInformation2006
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2006.878172
  ISSN: 0018-9448
  issue: '8'
  issued:
    - year: 2006
      month: 8
  page: 3396-3410
  title: Information Theory and Mixing Least-Squares Regressions
  type: article-journal
  volume: '52'

- id: LiMixture2000
  accessed:
    - year: 2016
      month: 5
      day: 4
  author:
    - family: Li
      given: Jonathan Q.
    - family: Barron
      given: Andrew R.
  citation-key: LiMixture2000
  container-title: Advances in Neural Information Processing Systems 12
  editor:
    - family: Solla
      given: S. A.
    - family: Leen
      given: T. K.
    - family: Müller
      given: K.
  issued:
    - year: 2000
  page: 279–285
  publisher: MIT Press
  title: Mixture Density Estimation
  type: paper-conference
  URL: http://papers.nips.cc/paper/1673-mixture-density-estimation.pdf

- id: LiOnline2012
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Li
      given: Dawei
    - family: Xu
      given: Lihong
    - family: Goodman
      given: Erik
  citation-key: LiOnline2012
  container-title: Journal of Mathematical Imaging and Vision
  container-title-short: J Math Imaging Vis
  DOI: 10.1007/s10851-012-0403-6
  ISSN: 0924-9907, 1573-7683
  issue: '1'
  issued:
    - year: 2012
      month: 11
      day: 16
  language: en
  page: 114-133
  title: >-
    On-line EM Variants for Multivariate Normal Mixture Model in Background
    Learning and Moving Foreground Detection
  type: article-journal
  volume: '48'

- id: LiRegularized2005
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Li
      given: Haifeng
    - family: Zhang
      given: Keshu
    - family: Jiang
      given: Tao
  citation-key: LiRegularized2005
  container-title: Proceedings of the national conference on artificial intelligence
  issued:
    - year: 2005
  page: '807'
  publisher: Menlo Park, CA; Cambridge, MA; London; AAAI Press; MIT Press; 1999
  title: The regularized EM algorithm
  type: paper-conference
  URL: http://www.aaai.org/Papers/AAAI/2005/AAAI05-127.pdf
  volume: '20'

- 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: McLachlanFitting1988
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: McLachlan
      given: G. J.
    - family: Jones
      given: P. N.
  citation-key: McLachlanFitting1988
  container-title: Biometrics
  container-title-short: Biometrics
  DOI: 10.2307/2531869
  ISSN: 0006-341X
  issue: '2'
  issued:
    - year: 1988
  page: 571-578
  title: Fitting Mixture Models to Grouped and Truncated Data via the EM Algorithm
  type: article-journal
  volume: '44'

- id: McLachlanNumber2014
  accessed:
    - year: 2016
      month: 8
      day: 2
  author:
    - family: McLachlan
      given: Geoffrey J.
    - family: Rathnayake
      given: Suren
  citation-key: McLachlanNumber2014
  container-title: 'Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery'
  container-title-short: WIREs Data Mining Knowl Discov
  DOI: 10.1002/widm.1135
  ISSN: 1942-4795
  issue: '5'
  issued:
    - year: 2014
      month: 9
      day: 1
  language: en
  page: 341-355
  title: On the number of components in a Gaussian mixture model
  type: article-journal
  URL: >-
    https://www.researchgate.net/profile/G_Mclachlan/publication/265856434_On_the_number_of_components_in_a_Gaussian_mixture_model/links/54be50620cf218da9391e41c.pdf
  volume: '4'

- id: MixonClustering2016
  accessed:
    - year: 2016
      month: 4
      day: 11
  author:
    - family: Mixon
      given: Dustin G.
    - family: Villar
      given: Soledad
    - family: Ward
      given: Rachel
  citation-key: MixonClustering2016
  container-title: arXiv:1602.06612 [cs, math, stat]
  issued:
    - year: 2016
      month: 2
      day: 21
  title: Clustering subgaussian mixtures by semidefinite programming
  type: article-journal
  URL: http://arxiv.org/abs/1602.06612

- id: MoitraSettling2010
  author:
    - family: Moitra
      given: A.
    - family: Valiant
      given: G.
  citation-key: MoitraSettling2010
  container-title: 2010 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS)
  DOI: 10.1109/FOCS.2010.15
  event-title: 2010 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS)
  issued:
    - year: 2010
      month: 10
  page: 93-102
  title: Settling the Polynomial Learnability of Mixtures of Gaussians
  type: paper-conference
  URL: http://arxiv.org/abs/1004.4223

- id: MurataNetwork1994
  author:
    - family: Murata
      given: N.
    - family: Yoshizawa
      given: S.
    - family: Amari
      given: S.
  citation-key: MurataNetwork1994
  container-title: IEEE Transactions on Neural Networks
  DOI: 10.1109/72.329683
  ISSN: 1045-9227
  issue: '6'
  issued:
    - year: 1994
      month: 11
  page: 865-872
  title: >-
    Network information criterion-determining the number of hidden units for an
    artificial neural network model
  type: article-journal
  URL: >-
    https://www.researchgate.net/profile/Noboru_Murata/publication/2784059_Network_Information_Criterion_-_Determining_the_Number_of_Hidden_Units_for_an_Artificial_Neural_Network_Model/links/09e4150b02739d41ae000000.pdf
  volume: '5'

- id: NoretsApproximation2010
  accessed:
    - year: 2016
      month: 7
      day: 27
  author:
    - family: Norets
      given: Andriy
  citation-key: NoretsApproximation2010
  container-title: The Annals of Statistics
  DOI: 10.1214/09-AOS765
  ISSN: 0090-5364
  issue: '3'
  issued:
    - year: 2010
      month: 6
  page: 1733-1766
  title: Approximation of conditional densities by smooth mixtures of regressions
  type: article-journal
  URL: http://arxiv.org/abs/1010.0581
  volume: '38'

- id: OrrIntroduction1996
  accessed:
    - year: 2016
      month: 9
      day: 15
  author:
    - family: Orr
      given: Mark JL
  citation-key: OrrIntroduction1996
  issued:
    - year: 1996
  publisher: Technical Report, Center for Cognitive Science, University of Edinburgh
  title: Introduction to radial basis function networks
  type: report
  URL: >-
    http://twyu2.synology.me/htdocs/class_2008_1/nn/Slides/Introduction%20to%20Radial%20Basis%20Function%20Networks%20(1996).pdf

- id: OrrRecent1999
  author:
    - family: Orr
      given: Mark J. L.
  citation-key: OrrRecent1999
  issued:
    - year: 1999
  publisher: >-
    Technical Report www.ed.ac.uk/ mjo/papers/recad.ps, Institute for Adaptive
    and Neural Computation
  title: Recent Advances in Radial Basis Function Networks
  type: report

- id: PengApproximating2007
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Peng
      given: J.
    - family: Wei
      given: Y.
  citation-key: PengApproximating2007
  container-title: SIAM Journal on Optimization
  container-title-short: SIAM J. Optim.
  DOI: 10.1137/050641983
  ISSN: 1052-6234
  issue: '1'
  issued:
    - year: 2007
      month: 1
      day: 1
  page: 186-205
  title: Approximating K‐means‐type Clustering via Semidefinite Programming
  type: article-journal
  URL: http://www.optimization-online.org/DB_FILE/2005/04/1114.pdf
  volume: '18'

- id: PriebeAdaptive1994
  accessed:
    - year: 2016
      month: 5
      day: 25
  author:
    - family: Priebe
      given: Carey E.
  citation-key: PriebeAdaptive1994
  container-title: Journal of the American Statistical Association
  DOI: 10.1080/01621459.1994.10476813
  ISSN: 0162-1459, 1537-274X
  issue: '427'
  issued:
    - year: 1994
      month: 9
  language: en
  page: 796-806
  title: Adaptive Mixtures
  type: article-journal
  volume: '89'

- id: PriebeAlternating2000
  accessed:
    - year: 2016
      month: 5
      day: 25
  author:
    - family: Priebe
      given: Carey E.
    - family: Marchette
      given: David J.
  citation-key: PriebeAlternating2000
  container-title: Computational Statistics & Data Analysis
  container-title-short: Computational Statistics & Data Analysis
  DOI: 10.1016/S0167-9473(00)00003-7
  ISSN: 0167-9473
  issue: '1'
  issued:
    - year: 2000
      month: 11
      day: 28
  page: 43-65
  title: Alternating kernel and mixture density estimates
  type: article-journal
  URL: http://www.dmarchette.com/Papers/akmde.pdf
  volume: '35'

- id: QianSignal1994
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Qian
      given: Shie
    - family: Chen
      given: Dapang
  citation-key: QianSignal1994
  container-title: Signal Processing
  container-title-short: Signal Processing
  DOI: 10.1016/0165-1684(94)90174-0
  ISSN: 0165-1684
  issue: '1'
  issued:
    - year: 1994
      month: 3
      day: 1
  page: 1-11
  title: Signal representation using adaptive normalized Gaussian functions
  type: article-journal
  volume: '36'

- id: QueBack2016
  accessed:
    - year: 2016
      month: 9
      day: 15
  author:
    - family: Que
      given: Qichao
    - family: Belkin
      given: Mikhail
  citation-key: QueBack2016
  container-title: >-
    Proceedings of the 19th International Conference on Artificial Intelligence
    and Statistics (AISTATS) 2016
  event-title: >-
    19th International Conference on Artificial Intelligence and Statistics
    (AISTATS) 2016
  issued:
    - year: 2016
  title: 'Back to the future: Radial Basis Function networks revisited'
  type: paper-conference
  URL: http://www.jmlr.org/proceedings/papers/v51/que16-supp.pdf

- id: RabusseauLearning2014
  accessed:
    - year: 2016
      month: 8
      day: 15
  author:
    - family: Rabusseau
      given: Guillaume
    - family: Denis
      given: François
  citation-key: RabusseauLearning2014
  container-title: arXiv:1403.4224 [cs]
  issued:
    - year: 2014
      month: 3
      day: 17
  title: Learning Negative Mixture Models by Tensor Decompositions
  type: article-journal
  URL: http://arxiv.org/abs/1403.4224

- id: RaghunathanLearning2017
  accessed:
    - year: 2017
      month: 9
      day: 15
  author:
    - family: Raghunathan
      given: Aditi
    - family: Krishnaswamy
      given: Ravishankar
    - family: Jain
      given: Prateek
  citation-key: RaghunathanLearning2017
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2017
      month: 7
      day: 7
  page: 6608–6617
  title: Learning Mixture of Gaussians with Streaming Data
  type: paper-conference
  URL: http://arxiv.org/abs/1707.02391

- id: RakhlinRisk2005
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Rakhlin
      given: Alexander
    - family: Panchenko
      given: Dmitry
    - family: Mukherjee
      given: Sayan
  citation-key: RakhlinRisk2005
  container-title: 'ESAIM: Probability and Statistics'
  DOI: 10.1051/ps:2005011
  ISSN: 1292-8100, 1262-3318
  issued:
    - year: 2005
      month: 6
  page: 220-229
  title: Risk bounds for mixture density estimation
  type: article-journal
  URL: http://www.esaim-ps.org/10.1051/ps:2005011
  volume: '9'

- id: RednerMixture1984
  accessed:
    - year: 2016
      month: 9
      day: 13
  author:
    - family: Redner
      given: R.
    - family: Walker
      given: H.
  citation-key: RednerMixture1984
  container-title: SIAM Review
  container-title-short: SIAM Rev.
  DOI: 10.1137/1026034
  ISSN: 0036-1445
  issue: '2'
  issued:
    - year: 1984
      month: 4
      day: 1
  page: 195-239
  title: Mixture Densities, Maximum Likelihood and the EM Algorithm
  type: article-journal
  volume: '26'

- id: RissanenUniversal1984
  author:
    - family: Rissanen
      given: J.
  citation-key: RissanenUniversal1984
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.1984.1056936
  ISSN: 0018-9448
  issue: '4'
  issued:
    - year: 1984
      month: 7
  page: 629-636
  title: Universal coding, information, prediction, and estimation
  type: article-journal
  URL: http://philsci-archive.pitt.edu/12429/
  volume: '30'

- id: RoederPractical1997
  accessed:
    - year: 2016
      month: 8
      day: 1
  author:
    - family: Roeder
      given: Kathryn
    - family: Wasserman
      given: Larry
  citation-key: RoederPractical1997
  container-title: Journal of the American Statistical Association
  container-title-short: Journal of the American Statistical Association
  DOI: 10.1080/01621459.1997.10474044
  ISSN: 0162-1459
  issue: '439'
  issued:
    - year: 1997
      month: 9
      day: 1
  page: 894-902
  title: Practical Bayesian Density Estimation Using Mixtures of Normals
  type: article-journal
  URL: >-
    http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.29.5399&rep=rep1&type=pdf
  volume: '92'

- id: RuanRegularized2011
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Ruan
      given: Lingyan
    - family: Yuan
      given: Ming
    - family: Zou
      given: Hui
  citation-key: RuanRegularized2011
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/NECO_a_00128
  ISSN: 0899-7667
  issue: '6'
  issued:
    - year: 2011
      month: 3
      day: 11
  page: 1605-1622
  title: Regularized Parameter Estimation in High-Dimensional Gaussian Mixture Models
  type: article-journal
  volume: '23'

- id: ScholkopfFast1998
  accessed:
    - year: 2016
      month: 7
      day: 25
  author:
    - family: Schölkopf
      given: Bernhard
    - family: Knirsch
      given: Phil
    - family: Smola
      given: Alex
    - family: Burges
      given: Chris
  citation-key: ScholkopfFast1998
  collection-title: Informatik aktuell
  container-title: Mustererkennung 1998
  DOI: 10.1007/978-3-642-72282-0_12
  editor:
    - family: Levi
      given: Paul
    - family: Schanz
      given: Michael
    - family: Ahlers
      given: Rolf-Jürgen
    - family: May
      given: Franz
  ISBN: 978-3-540-64935-9 978-3-642-72282-0
  issued:
    - year: 1998
  language: en
  page: 125-132
  publisher: Springer Berlin Heidelberg
  title: >-
    Fast Approximation of Support Vector Kernel Expansions, and an
    Interpretation of Clustering as Approximation in Feature Spaces
  type: chapter
  URL: http://alex.smola.org/papers/1998/SchKniSmoBur98.pdf

- id: ScholkopfKernel1997
  accessed:
    - year: 2014
      month: 10
      day: 9
  author:
    - family: Schölkopf
      given: Bernhard
    - family: Smola
      given: Alexander
    - family: Müller
      given: Klaus-Robert
  citation-key: ScholkopfKernel1997
  collection-title: Lecture Notes in Computer Science
  container-title: Artificial Neural Networks — ICANN'97
  DOI: 10.1007/BFb0020217
  editor:
    - family: Gerstner
      given: Wulfram
    - family: Germond
      given: Alain
    - family: Hasler
      given: Martin
    - family: Nicoud
      given: Jean-Daniel
  ISBN: 978-3-540-63631-1 978-3-540-69620-9
  issued:
    - year: 1997
      month: 1
      day: 1
  language: en
  page: 583-588
  publisher: Springer Berlin Heidelberg
  title: Kernel principal component analysis
  type: paper-conference

- id: ShaLarge2006
  accessed:
    - year: 2016
      month: 10
      day: 11
  author:
    - family: Sha
      given: Fei
    - family: Saul
      given: Lawrence K.
  citation-key: ShaLarge2006
  container-title: Advances in neural information processing systems
  issued:
    - year: 2006
  page: 1249–1256
  title: Large margin hidden Markov models for automatic speech recognition
  type: paper-conference
  URL: http://machinelearning.wustl.edu/mlpapers/paper_files/NIPS2006_143.pdf

- id: ShimazakiKernel2010
  accessed:
    - year: 2016
      month: 3
      day: 26
  author:
    - family: Shimazaki
      given: Hideaki
    - family: Shinomoto
      given: Shigeru
  citation-key: ShimazakiKernel2010
  container-title: Journal of Computational Neuroscience
  DOI: 10.1007/s10827-009-0180-4
  ISSN: 0929-5313, 1573-6873
  issue: 1-2
  issued:
    - year: 2010
      month: 8
  language: en
  page: 171-182
  title: Kernel bandwidth optimization in spike rate estimation
  type: article-journal
  volume: '29'

- 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: TippingRelevance2000
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Tipping
      given: Michael E.
  citation-key: TippingRelevance2000
  container-title: Advances in Neural Information Processing Systems
  issued:
    - year: 2000
  page: 652–658
  publisher: MIT Press
  title: The Relevance Vector Machine
  type: paper-conference
  URL: http://papers.nips.cc/paper/1719-the-relevance-vector-machine

- id: TippingSparse2001
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Tipping
      given: Michael E.
  citation-key: TippingSparse2001
  container-title: The journal of machine learning research
  DOI: 10.1162/15324430152748236
  ISSN: 1532-4435
  issued:
    - year: 2001
  page: 211–244
  title: Sparse Bayesian learning and the relevance vector machine
  type: article-journal
  URL: http://www.jmlr.org/papers/volume1/tipping01a/tipping01a.pdf
  volume: '1'

- id: TippingSparse2001
  author:
    - family: Tipping
      given: Michael E.
    - family: Nh
      given: Cambridge Cb
  citation-key: TippingSparse2001
  container-title: Advances in Neural Information Processing Systems 13
  issued:
    - year: 2001
  page: 633–639
  publisher: MIT Press
  title: Sparse Kernel Principal Component Analysis
  type: paper-conference
  URL: >-
    http://papers.nips.cc/paper/1791-sparse-kernel-principal-component-analysis.pdf

- id: ToulisScalable2015
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Toulis
      given: Panos
    - family: Airoldi
      given: Edoardo M.
  citation-key: ToulisScalable2015
  container-title: Statistics and Computing
  container-title-short: Stat Comput
  DOI: 10.1007/s11222-015-9560-y
  ISSN: 0960-3174, 1573-1375
  issue: '4'
  issued:
    - year: 2015
      month: 6
      day: 11
  language: en
  page: 781-795
  title: >-
    Scalable estimation strategies based on stochastic approximations: classical
    results and new insights
  type: article-journal
  volume: '25'

- id: TschannenNoisy2016
  author:
    - family: Tschannen
      given: Michael
    - family: Bölcskei
      given: Helmut
  citation-key: TschannenNoisy2016
  container-title: arXiv:1612.03450 [cs, math, stat]
  issued:
    - year: 2016
      month: 12
      day: 11
  title: Noisy subspace clustering via matching pursuits
  type: article-journal
  URL: http://arxiv.org/abs/1612.03450

- id: vandeGeerAsymptotic1997
  accessed:
    - year: 2016
      month: 8
      day: 1
  author:
    - family: Geer
      given: Sara
      non-dropping-particle: van de
  citation-key: vandeGeerAsymptotic1997
  container-title: 'ESAIM: Probability and Statistics'
  issued:
    - year: 1997
  page: 17–33
  title: Asymptotic normality in mixture models
  type: article-journal
  URL: http://archive.numdam.org/article/PS_1997__1__17_0.pdf
  volume: '1'

- id: vandeGeerAsymptotic2003
  accessed:
    - year: 2016
      month: 8
      day: 2
  author:
    - family: Geer
      given: Sara
      non-dropping-particle: van de
  citation-key: vandeGeerAsymptotic2003
  collection-title: Recent Developments in Mixture Model
  container-title: Computational Statistics & Data Analysis
  container-title-short: Computational Statistics & Data Analysis
  DOI: 10.1016/S0167-9473(02)00188-3
  ISSN: 0167-9473
  issue: 3–4
  issued:
    - year: 2003
      month: 1
      day: 28
  page: 453-464
  title: Asymptotic theory for maximum likelihood in nonparametric mixture models
  type: article-journal
  volume: '41'

- id: vandeGeerRates1996
  accessed:
    - year: 2016
      month: 5
      day: 29
  author:
    - family: Geer
      given: Sara
      non-dropping-particle: van de
  citation-key: vandeGeerRates1996
  container-title: Journal of Nonparametric Statistics
  DOI: 10.1080/10485259608832677
  ISSN: 1048-5252
  issue: '4'
  issued:
    - year: 1996
      month: 1
      day: 1
  page: 293-310
  title: Rates of convergence for the maximum likelihood estimator in mixture models
  type: article-journal
  volume: '6'

- id: vanderVaartWeak1996
  author:
    - family: Vaart
      given: Aad W.
      non-dropping-particle: van der
    - family: Wellner
      given: Jon
  citation-key: vanderVaartWeak1996
  ISBN: 978-0-387-94640-5
  issued:
    - year: 1996
      month: 3
      day: 14
  language: en
  number-of-pages: '531'
  publisher: Springer Science & Business Media
  title: 'Weak Convergence and Empirical Processes: With Applications to Statistics'
  type: book

- id: VempalaSpectral2004
  accessed:
    - year: 2016
      month: 6
      day: 6
  author:
    - family: Vempala
      given: Santosh
    - family: Wang
      given: Grant
  citation-key: VempalaSpectral2004
  container-title: Journal of Computer and System Sciences
  container-title-short: Journal of Computer and System Sciences
  DOI: 10.1016/j.jcss.2003.11.008
  ISSN: 0022-0000
  issue: '4'
  issued:
    - year: 2004
      month: 6
      day: 1
  page: 841-860
  title: A spectral algorithm for learning mixture models
  type: article-journal
  volume: '68'

- id: WeidmannRate2012
  accessed:
    - year: 2016
      month: 6
      day: 9
  author:
    - family: Weidmann
      given: Claudio
    - family: Vetterli
      given: Martin
  citation-key: WeidmannRate2012
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/TIT.2012.2201335
  ISSN: 0018-9448, 1557-9654
  issue: '8'
  issued:
    - year: 2012
      month: 8
  page: 4969-4992
  title: Rate Distortion Behavior of Sparse Sources
  type: article-journal
  URL: >-
    https://www.researchgate.net/publication/37467501_Rate_Distortion_Behavior_of_Sparse_Sources
  volume: '58'

- id: WilliamsConnection2001
  accessed:
    - year: 2016
      month: 4
      day: 16
  author:
    - family: Williams
      given: Christopher K. I.
  citation-key: WilliamsConnection2001
  container-title: Advances in Neural Information Processing Systems 13
  DOI: 10.1023/A:1012485807823
  editor:
    - family: Leen
      given: T. K.
    - family: Dietterich
      given: T. G.
    - family: Tresp
      given: V.
  issued:
    - year: 2001
  page: 675–681
  publisher: MIT Press
  title: On a Connection between Kernel PCA and Metric Multidimensional Scaling
  type: paper-conference
  URL: >-
    http://papers.nips.cc/paper/1873-on-a-connection-between-kernel-pca-and-metric-multidimensional-scaling.pdf
  volume: '46'

- id: WongProbability1995
  accessed:
    - year: 2016
      month: 8
      day: 2
  author:
    - family: Wong
      given: Wing Hung
    - family: Shen
      given: Xiaotong
  citation-key: WongProbability1995
  container-title: The Annals of Statistics
  container-title-short: Ann. Statist.
  DOI: 10.1214/aos/1176324524
  ISSN: 0090-5364, 2168-8966
  issue: '2'
  issued:
    - year: 1995
      month: 4
  language: EN
  page: 339-362
  title: >-
    Probability Inequalities for Likelihood Ratios and Convergence Rates of
    Sieve MLES
  type: article-journal
  volume: '23'

- id: WuMultikernel2007
  accessed:
    - year: 2016
      month: 7
      day: 18
  author:
    - family: Wu
      given: Qiang
    - family: Ying
      given: Yiming
    - family: Zhou
      given: Ding-Xuan
  citation-key: WuMultikernel2007
  container-title: Journal of Complexity
  container-title-short: Journal of Complexity
  DOI: 10.1016/j.jco.2006.06.007
  ISSN: 0885-064X
  issue: '1'
  issued:
    - year: 2007
      month: 2
      day: 1
  page: 108-134
  title: Multi-kernel regularized classifiers
  type: article-journal
  volume: '23'

- id: XuConvergence1996
  accessed:
    - year: 2016
      month: 3
      day: 24
  author:
    - family: Xu
      given: Lei
    - family: Jordan
      given: Michael I.
  citation-key: XuConvergence1996
  container-title: Neural Computation
  container-title-short: Neural Computation
  DOI: 10.1162/neco.1996.8.1.129
  ISSN: 0899-7667
  issue: '1'
  issued:
    - year: 1996
      month: 1
      day: 1
  page: 129-151
  title: On Convergence Properties of the EM Algorithm for Gaussian Mixtures
  type: article-journal
  volume: '8'

- id: XuReproducing2008
  author:
    - family: Xu
      given: Jian-Wu
    - family: Paiva
      given: A.R.C.
    - family: Park
      given: Il
    - family: Principe
      given: J.C.
  citation-key: XuReproducing2008
  container-title: IEEE Transactions on Signal Processing
  DOI: 10.1109/TSP.2008.2005085
  ISSN: 1053-587X
  issue: '12'
  issued:
    - year: 2008
  page: 5891-5902
  title: >-
    A Reproducing Kernel Hilbert Space Framework for Information-Theoretic
    Learning
  type: article-journal
  volume: '56'

- id: ZeeviDensity1997
  author:
    - family: Zeevi
      given: Assaf J.
    - family: Meir
      given: Ronny
  citation-key: ZeeviDensity1997
  container-title: >-
    Neural Networks: The Official Journal of the International Neural Network
    Society
  container-title-short: Neural Netw
  DOI: 10.1016/S0893-6080(96)00037-8
  ISSN: 1879-2782
  issue: '1'
  issued:
    - year: 1997
      month: 1
  language: ENG
  page: 99-109
  PMID: '12662890'
  title: >-
    Density Estimation Through Convex Combinations of Densities: Approximation
    and Estimation Bounds
  type: article-journal
  volume: '10'

- id: ZeeviError1998
  author:
    - family: Zeevi
      given: A. J.
    - family: Meir
      given: R.
    - family: Maiorov
      given: V.
  citation-key: ZeeviError1998
  container-title: IEEE Transactions on Information Theory
  DOI: 10.1109/18.669150
  ISSN: 0018-9448
  issue: '3'
  issued:
    - year: 1998
      month: 5
  page: 1010-1025
  title: >-
    Error bounds for functional approximation and estimation using mixtures of
    experts
  type: article-journal
  URL: >-
    https://www0.gsb.columbia.edu/mygsb/faculty/research/pubfiles/3910/error_bounds.pdf
  volume: '44'

- id: ZhangDeep2022
  accessed:
    - year: 2022
      month: 10
      day: 20
  author:
    - family: Zhang
      given: Kaiqi
    - family: Wang
      given: Yu-Xiang
  citation-key: ZhangDeep2022
  DOI: 10.48550/arXiv.2204.09664
  issued:
    - year: 2022
      month: 6
      day: 13
  number: arXiv:2204.09664
  publisher: arXiv
  title: >-
    Deep Learning meets Nonparametric Regression: Are Weight-Decayed DNNs
    Locally Adaptive?
  type: article
  URL: http://arxiv.org/abs/2204.09664
...
