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1

Density Estimation by Wavelet Thresholding

David L. Donoho, Iain M. Johnstone, Gerard Kerkyacharian and Dominique Picard

Journal:

The Annals of Statistics

Year:

1996

Language:

english

File:

PDF, 2.22 MB

english, 1996

2

Density estimation in Besov spaces

G. Kerkyacharian, D. Picard

Journal:

Statistics & Probability Letters

Year:

1992

Language:

english

File:

PDF, 548 KB

english, 1992

3

Density estimation by kernel and wavelets methods: Optimality of Besov spaces

Gérard Kerkyacharian, Dominique Picard

Journal:

Statistics & Probability Letters

Year:

1993

Language:

english

File:

PDF, 632 KB

english, 1993

4

Nonlinear Approximation and Muckenhoupt Weights

Gerard Kerkyacharian, Dominique Picard

Journal:

Constructive Approximation

Year:

2006

Language:

english

File:

PDF, 288 KB

english, 2006

5

Approximation Methods for Supervised Learning

Ronald DeVore, Gerard Kerkyacharian, Dominique Picard, Vladimir Temlyakov

Journal:

Foundations of Computational Mathematics

Year:

2006

Language:

english

File:

PDF, 588 KB

english, 2006

6

Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces

Kerkyacharian, Gerard, Petrushev, Pencho

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 813 KB

english, 2014

7

LpAdaptive Density Estimation

Gérard Kerkyacharian, Dominique Picard and Karine Tribouley

Journal:

Year:

1996

Language:

english

File:

PDF, 1.48 MB

english, 1996

8

Some Remarks on Ultracontractivity

O. Kavian, G. Kerkyacharian, B. Roynette

Journal:

Journal of Functional Analysis

Year:

1993

File:

PDF, 1.08 MB

1993

9

Limit of the quadratic risk in density estimation using linear methods

Kerkyacharian Gérard, Picard Dominique

Journal:

Statistics & Probability Letters

Year:

1997

Language:

english

File:

PDF, 656 KB

english, 1997

10

Thresholding algorithms, maxisets and well-concentrated bases

Gérard Kerkyacharian, Dominique Picard, Lucien Birgé, Peter Hall, Oleg Lepski, Enno Mammen, Alexandre Tsybakov, G. Kerkyacharian, D. Picard

Journal:

Year:

2000

Language:

english

File:

PDF, 2.51 MB

english, 2000

11

Nonlinear estimation in anisotropic multi-index denoising

Gérard Kerkyacharian, Oleg Lepski, Dominique Picard

Journal:

Probability Theory and Related Fields

Year:

2001

Language:

english

File:

PDF, 240 KB

english, 2001

12

Entropy, Universal Coding, Approximation, and Bases Properties

Gérard Kerkyacharian, Dominique Picard

Journal:

Constructive Approximation

Year:

2003

Language:

english

File:

PDF, 354 KB

english, 2003

13

Thresholding in Learning Theory

Gerard Kerkyacharian, Dominique Picard

Journal:

Constructive Approximation

Year:

2007

Language:

english

File:

PDF, 325 KB

english, 2007

14

Large deviations and the Strassen theorem in Hölder norm

P. Baldi, G. Ben Arous, G. Kerkyacharian

Journal:

Stochastic Processes and their Applications

Year:

1992

Language:

english

File:

PDF, 502 KB

english, 1992

15

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || The idea of multiresolution analysis

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 512 KB

english, 1998

16

Wavelet Shrinkage: Asymptopia?

David L. Donoho, Iain M. Johnstone, Gerard Kerkyacharian and Dominique Picard

Journal:

Journal of the Royal Statistical Society Series B (Methodological)

Year:

1995

Language:

english

File:

PDF, 5.89 MB

english, 1995

17

Minimax or Maxisets?

Gérard Kerkyacharian and Dominique Picard

Journal:

Year:

2002

Language:

english

File:

PDF, 2.41 MB

english, 2002

18

ADAPTIVE DENSITY ESTIMATION FOR DIRECTIONAL DATA USING NEEDLETS

P. Baldi, G. Kerkyacharian, D. Marinucci and D. Picard

Journal:

The Annals of Statistics

Year:

2009

Language:

english

File:

PDF, 2.19 MB

english, 2009

19

Homogeneous Besov and Triebel–Lizorkin spaces associated to non-negative self-adjoint operators

Georgiadis, A.G., Kerkyacharian, G., Kyriazis, G., Petrushev, P.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 519 KB

english, 2017

20

Regularity of Gaussian Processes on Dirichlet Spaces

Kerkyacharian, Gerard, Ogawa, Shigeyoshi, Petrushev, Pencho, Picard, Dominique

Journal:

Constructive Approximation

Year:

2018

Language:

english

File:

PDF, 646 KB

english, 2018

21

Maximal Spaces with Given Rate of Convergence for Thresholding Algorithms

Albert Cohen, Ronald DeVore, Gerard Kerkyacharian, Dominique Picard

Journal:

Applied and Computational Harmonic Analysis

Year:

2001

Language:

english

File:

PDF, 235 KB

english, 2001

22

Inversion of noisy Radon transform by SVD based needlets

Gérard Kerkyacharian, George Kyriazis, Erwan Le Pennec, Pencho Petrushev, Dominique Picard

Journal:

Applied and Computational Harmonic Analysis

Year:

2010

Language:

english

File:

PDF, 1.52 MB

english, 2010

23

Decomposition of Triebel–Lizorkin and Besov spaces in the context of Laguerre expansions

G. Kerkyacharian, P. Petrushev, D. Picard, Yuan Xu

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 444 KB

english, 2009

24

A note on the wavelet oracle

Peter Hall, Gérard Kerkyacharian, Dominique Picard

Journal:

Statistics & Probability Letters

Year:

1999

Language:

english

File:

PDF, 86 KB

english, 1999

25

Capturing Ridge Functions in High Dimensions from Point Queries

Albert Cohen, Ingrid Daubechies, Ronald DeVore, Gerard Kerkyacharian, Dominique Picard

Journal:

Constructive Approximation

Year:

2012

Language:

english

File:

PDF, 641 KB

english, 2012

26

High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus

Paolo Baldi, Gérard Kerkyacharian, Domenico Marinucci, Dominique Picard

Journal:

Journal of Multivariate Analysis

Year:

2008

Language:

english

File:

PDF, 539 KB

english, 2008

27

Spherical needlets for cosmic microwave background data analysis

D. Marinucci, D. Pietrobon, A. Balbi, P. Baldi, P. Cabella, G. Kerkyacharian, P. Natoli, D. Picard, N. Vittorio

Journal:

Monthly Notices of the Royal Astronomical Society

Year:

2008

Language:

english

File:

PDF, 2.01 MB

english, 2008

28

Wavelet deconvolution in a periodic setting

Iain M. Johnstone, Gérard Kerkyacharian, Dominique Picard, Marc Raimondo

Journal:

Journal of the Royal Statistical Society: Series B (Statistical Methodology)

Year:

2004

Language:

english

File:

PDF, 2.30 MB

english, 2004

29

Numerical performance of block thresholded wavelet estimators

Peter Hall, Spiridon Penev, Gérard Kerkyacharian, Dominique Picard

Journal:

Statistics and Computing

Year:

1997

Language:

english

File:

PDF, 445 KB

english, 1997

30

Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds

Kerkyacharian, Gerard, Nickl, Richard, Picard, Dominique

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 397 KB

english, 2012

31

Nonlinear Estimation in Anisotropic Multi-Index Denoising. Sparse Case

Kerkyacharian, G., Lepski, O., Picard, D.

Journal:

Theory of Probability & Its Applications

Year:

2008

Language:

english

File:

PDF, 259 KB

english, 2008

32

Heat Kernel Generated Frames in the Setting of Dirichlet Spaces

T. Coulhon, G. Kerkyacharian, P. Petrushev

Journal:

Journal of Fourier Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

33

Thomas Bayes’ walk on manifolds

Castillo, IsmaÃ«l, Kerkyacharian, GÃ©rard, Picard, Dominique

Journal:

Probability Theory and Related Fields

Year:

2014

Language:

english

File:

PDF, 438 KB

english, 2014

34

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Wavelets and Besov Spaces

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 1.57 MB

english, 1998

35

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || The Haar basis wavelet system

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 640 KB

english, 1998

36

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Statistical estimation using wavelets

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 4.65 MB

english, 1998

37

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Basic relations of wavelet theory

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 794 KB

english, 1998

38

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Some facts from Fourier analysis

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 387 KB

english, 1998

39

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Compactly supported wavelets

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 738 KB

english, 1998

40

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Construction of wavelet bases

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 843 KB

english, 1998

41

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Wavelets and Approximation

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 2.05 MB

english, 1998

42

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Wavelets

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 1.43 MB

english, 1998

43

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Wavelet thresholding and adaptation

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 1.90 MB

english, 1998

44

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 || Computational aspects and statistical software implementations

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 1.77 MB

english, 1998

45

Optimal Exponential Bounds on the Accuracy of Classification

G. Kerkyacharian, A. B. Tsybakov, V. Temlyakov, D. Picard, V. Koltchinskii

Journal:

Constructive Approximation

Year:

2014

Language:

english

File:

PDF, 303 KB

english, 2014

46

Regression in Random Design and Warped Wavelets

Gérard Kerkyacharian and Dominique Picard

Journal:

Year:

2004

Language:

english

File:

PDF, 3.30 MB

english, 2004

47

Spin needlets for cosmic microwave background polarization data analysis

Geller, Daryl, Hansen, Frode K., Marinucci, Domenico, Kerkyacharian, Gerard, Picard, Dominique

Journal:

Physical Review D

Year:

2008

Language:

english

File:

PDF, 7.78 MB

english, 2008

48

Block Threshold Rules for Curve Estimation Using Kernel and Wavelet Methods

Peter Hall, Gerard Kerkyacharian and Dominique Picard

Journal:

The Annals of Statistics

Year:

1998

Language:

english

File:

PDF, 458 KB

english, 1998

49

Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators

Dekel, S., Kerkyacharian, G., Kyriazis, G., Petrushev, P.

Journal:

Studia Mathematica

Year:

2014

Language:

english

File:

PDF, 497 KB

english, 2014

50

[Lecture Notes in Statistics] Wavelets, Approximation, and Statistical Applications Volume 129 ||

Härdle, Wolfgang, Kerkyacharian, Gerard, Picard, Dominique, Tsybakov, Alexander

Year:

1998

Language:

english

File:

PDF, 19.25 MB

english, 1998

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