PUBLICATIONS









Prepublications



(2012)
Thomas Bayes' walk on manifolds
Ismael Castillo, Gérard kerkyacharian, Dominique Picard
http://arxiv.org/abs/1206.0459 

(2012)
Grouping Strategies and Thresholding for High Dimensional Linear Models
Mathilde MougeotDominique PicardKarine Tribouley
http://arxiv.org/abs/1207.2067

(2012)
Blockwise SVD with error in the operator and application to blind deconvolution
S. Delattre, M. Hoffmann, D. Picard, T. Vareschi 

(2011)
Testing the isotropy of high energy cosmic rays using spherical needlets
Gilles Faÿ, Jacques Delabrouille, Gérard Kerkyacharyan, Dominique Picard
arXiv:1107.5658:







                                                     Published Papers (2010 - 1999)


( 2012 )
Probability Theory and related fields 2012

(2012) 
M. MOUGEOT, D. PICARD, K. TRIBOULEY : Learning out of Leaders.
JRSS B
http://arxiv.org/abs/1001.1919 (previous version)


( 2012 )
M. MOUGEOT, D. PICARD, K. TRIBOULEY : LOL selection in High dimension
COMSTAT 5290, Computational and Data Analysis
arXiv:1103.3967v1


( 10/01/2009 )
G. KERKYACHARIAN, M. MOUGEOT, D. PICARD, K. TRIBOULEY : Learning out of Leaders Multiscale, Nonlinear and Adaptive Approximation Springer Series Lecture Notes in Comput. Sci.

Prépublication PMA-1307:
( 02/09/2009 )
G. KERKYACHARIAN, T.M. PHAM NGOC, D. PICARD : Localized deconvolution on the sphere.

Prépublication PMA-1306:
( 28/08/2009 )
G. KERKYACHARIAN, E. LE PENNEC, D. PICARD : Radon needlet thresholding.

Prépublication PMA-1245:
( 18/09/2008 )
G. KERKYACHARIAN, G. KYRIAZIS, E. LE PENNEC, P. PETRUSHEV, D. PICARD : Inversion of noisy Radon transform by SVD based needlet.

Prépublication PMA-1241:
( 11/09/2008 )
P. BALDI , G. KERKYACHARIAN , D. MARINUCCI, D. PICARD : Adaptive density estimation for directional data using needlets.

Prépublication PMA-1186:
( 10/12/2007 )
P. BALDI, G. KERKYACHARIAN, D. MARINUCCI, D. PICARD: Subsampling needlet coefficients on the sphere.

Prépublication PMA-1187:
( 10/12/2007 )
D. MARINUCCI, D. PIETROBON, A. BALBI, P. BALDI, P. CABELLA, G. KERKYACHARIAN, P. NATOLI, D. PICARD, N. VITTORIO: Spherical needlets for CMB data analysis.

Prépublication PMA-1081 :
( 15/06/2006 )
Baldi P., KERKYACHARIAN G., MARINUCCI D. PICARD D.: High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus.

Baldi P., Kerkyacharian G., Marinucci D. Picard D.: 
J.  Multivariate Anal., 99(6): 606-636, 2008, 
 High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus.





Previous version, Prépublication PMA-1081 (15/06/2006 ))

G. Kerkyacharian, P. Petrushev, D. Picard, and T. Willer.
Electron. J. Stat., 1:30–76 (electronic), 2007.




(previous version, Prépublication PMA-1085 (22/06/2006))

P. Baldi, G. Kerkyacharian, D. Marinucci, and D. Picard.
Ann. Statist, 37(3):1150–1171, 2009.




Asymptotics for spherical needlets. (previous version,  Prépublication PMA-1086 :

KERKYACHARIAN G. , PICARD D.
Proceedings of the ICM 2006.
Estimation in inverse problems and second generation wavelets. 

KERKYACHARIAN G. , PICARD D.
Constr. Approx., 26(2):173–203, 2007.
Thresholding in learning theory. (previous version, Prépublication PMA-1017 : ( 13/10/2005 ))

R. DEVORE, G. KERKYACHARIAN, D. PICARD, V. TEMLYAKOV.
Foundations of Computational Mathematics, special issue for D. Smale, 6, (1), 2006, 3 - 58.
On Mathematical methods of learning. (previous version, Prépublication PMA-1017 : ( 13/10/2005 ))

KERKYACHARIAN G. , PICARD D. , RAIMONDO M.
Statist. Sinica, 17(1):317–340, 2007.
Adaptive boxcar deconvolution on full Lebesgue measure sets. (previous version, Prépublication PMA-934 : ( 24/09/2004 ))

AUTIN F. , PICARD D. , RIVOIRARD V.
Math. Methods Statist., 15(4):349–373 (2007).
Large variance Gaussian priors in Bayesian nonparametric estimation: a maxiset approach. (previous version, Prépublication PMA-931 : ( 09/09/2004 ))

KERKYACHARIAN G. , LEPSKI O. , PICARD D.
Teor. Veroyatn. Primen., 52(1):150–171, 2007.
Non linear estimation in anisotropic multiindex denoising II. (previous version, Prépublication PMA-810 : ( 21/03/2003 ))

JOHNSTONE I.M. , KERKYACHARIAN G. , PICARD D. , RAIMONDO M.
'special read paper' with discussion and a rejoinder by the authors.JRSS B 66, no 3 (2004) 547-573.
Wavelet deconvolution in a periodic setting (previous version, Prépublication PMA-799 : ( 27/02/2003 ) )

KERKYACHARIAN G. , PICARD D.
Bernoulli 10 (6) 2004, 1053-1105.
Regression in random design and warped wavelets (previous version, Prépublication PMA-788 : ( 24/01/2003 ) )

HALL P. , KERKYACHARIAN G. , PICARD D.
Statistica Sinica 14 no 2 (2004) 377-393.
Convergence properties of wavelet estimators with multiple samping rates (previous version, Prépublication PMA-772 : ( 14/11/2002 ) )

KERKYACHARIAN G. , PICARD D.
Constr. Approx. 24 (2006), no. 2, 123--156.
Non-linear approximation and Muckenhoupt weights. (previous version, Prépublication PMA-704 : ( 31/01/2002 ) )

KERKYACHARIAN G. , PICARD D.
ESAIM PS vol 7 (2003) 239-258.
Replicant compression coding in Besov spaces. (previous version, Prépublication PMA-681 : ( 06/09/2001 ) )

KERKYACHARIAN G. , PICARD D.
Constr. Approx. 20 (2004) 1-37.
Entropy, universal coding, approximation and bases properties. (previous version, Prépublication PMA-663 : ( 07/06/2001 ) )

PICARD D. , TRIBOULEY K.
Ann. I. H. Poincare)- PR 38 (2002) 1023-1037.
Evolutionary Pareto distribution . (previous version, Prépublication PMA-653 : ( 07/05/2001 ) )

KERKYACHARIAN G. , PICARD D.
With discussion and a rejoinder by the authors. Test, vol 9, No 2, P 283-345.
Thresholding algorithms, maxisets and well concentrated bases . (previous version, Prépublication PMA-611 : ( 11/09/2000 ))

CAVALIER L. , GOLUBEV G.K. , PICARD D. , TSYBAKOV A.B.
Ann. Statist. 30 (2002), no. 3, 843--874.
Oracle inequalities for inverse problems. (previous version, Prépublication PMA-602 : ( 26/06/2000 ) )

KERKYACHARIAN G. , PICARD D.
Bernoulli 8 (2002), no. 2, 219--253.
Minimax or Maxisets. (previous version, Prépublication PMA-556 : ( 05/01/2000 ) )

KERKYACHARIAN K. , LEPSKI O. , PICARD D..
Probab. Theory Related Fields 121 (2001), no. 2, 137--170. 62G05.
Non linear\ estimation in anisotropic multiindex denoising. (previous version, Prépublication PMA-548 : ( 08/12/1999 ) )

COHEN A. , DEVORE R. , KERKYACHARIAN G. , PICARD D.
Appl. Comput. Harmon. Anal. 11 (2001), no. 2, 167--191.
Maximal spaces with given rate of convergence for thresholding algorithms. (previous version, Prépublication PMA-537 : ( 28/10/1999 ))

D. PICARD & K. TRIBOULEY.
Annals of Statistics (2000) vol 28, No 1, p 298-335.
Adaptive Confidence Int erval for Pointwise Curve Estimation. (previous version, Prépublication PMA-484 : ( Février 1999 ))