Recent publications



  1.  To Appear :
          CASTILLO, I. , KERKYACHARIAN, G., PICARD, D
          Thomas Bayes’ walk on manifolds (P.T.R.F.)


  1. KERKYACHARIAN G., PETRUSHEV P. Heat kernel based decomposition of spaces of distributions in the framework of Diri- chlet spaces (Transaction of American Math. Soc.)


    DELABROUILLE, J. , FAYE, G. KERKYACHARIAN, G. PICARD, D.  Testing the isotropy of high energy cosmic rays using spherical needlets.

    Publication :


     COULHON, Th., KERKYACHARIAN, G., PETRUSHEV, P.
     Heat kernel generated frames in the setting of Dirichlet spaces. ”Journal of Fourier Analysis and Applications” 18 : 995-1066, 2012.

    KERKYACHARIAN, G. ; NICKL, R., PICARD, D.  Concentration inequalities and confidence bands for needlet density estimators on com- pact homogeneous manifolds. , Probability Theory and Related Field,  153 (2012) No 1-2, 363-404


    COHEN A., DAUBECHIES I., DE VORE R. KERKYACHARIAN G. PICARD D.   Capturing Ridge Functions in High Dimension from Point Queries Constructive Ap- proximation Vol 35 No2, 2012.

     KERKYACHARIAN, G. ; LE PENNEC E.,PICARD, D.   Radon needlet thresholding.Official Journal of the Bernoulli Society, 18 (2012) No2,391-433.



  2. KERKYACHARIAN G. ; PHAM NGOC, T.M., R., PICARD, D.,  Localized spherical deconvolution. Annals of Statistics, Volume 39, Number 2 (2011), 1042-1068.


     KERKYACHARIAN G. KYRIAZIS, G. LE PENNEC, E.  PETRUSHEV, P.; PICARD, D.
      Inversion of noisy Radon transform by SVD based needlets. Appl. Comput. Harmon. Anal. 28 (2010), no. 1, 24–45.



  3. KERKYACHARIAN G. MOUGEOT, M.  PICARD, D. TRIBOULEY,K.
  4.  Learning out of leaders.   Multiscale, nonlinear and adaptive approximation, pages 295–324. Springer, Berlin, 2009.




KERKYACHARIAN G.  MARINUCCI,D.BALBI, A.   BALDI, P.   CABELLA, P.
 NATOLLI, D.   PICARD,D.  VITTORIO, N.
"Spherical Needlets for CMB Data Analysis",
  Monthly Notices
of the Royal Astronomical Society. Main Journal. 383, p539-545 (2008)


 BALDI, P. ; KERKYACHARIAN G. ; MARINUCCI,D. ; PICARD D.
 High frequency asymptotics for wavelet-based tests for Gaussianity and isotropy on the torus. J. Multivariate Anal. 99 (2008), no. 4, 606--636.




  KERKYACHARIAN G.; LEPSKI, O.; PICARD, D.
     Nonlinear estimation in anisotropic multiindex denoising. Sparse case. Teor. Veroyatn. Primen. 52 (2007), no. 1, 150--171; translation in Theory Probab. Appl. 52 (2008), no. 1, 58--77






    GELLER, D. HANSEN, F. MARINUCCI, D.  KERKYACHARIAN G.   PICARD D.
   "Spin Needlets for Cosmic Microwave Background Polarization Data Analysis"
 APS "Physical Review D" Vol 78, issue 12.
http://arxiv.org/ps/0811.2881




BALDI, P. ; KERKYACHARIAN G. ; MARINUCCI,D. ; PICARD D.
 Asymptotics for spherical needlets
 Ann. Statist. Volume 37, Number 3 (2009), 1150-1171.
http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.aos/1239369018&page=record




KERKYACHARIAN, G ; KYRIAZIS, G. ; LE PENNEC, E. ;  PICARD , D.;    Inversion of noisy Radon transform by SVD based needlets. Appl.Comput. Harmon. Anal. 28 (2010)  no. 1, 24--45
http://arxiv.org/abs/0809.3332



BALDI, P. ; KERKYACHARIAN G. ; MARINUCCI,D. ; PICARD D.
Adaptive density estimation for directional data
 The Annals of Statistics






KERKYACHARIAN, G; PICARD , D.
 New generation wavelets associated with
statistical problems RIMS Kokyuriku 1620, The 8th workhop on  stochastic numerics, p
119-147. 2009




 KERKYACHARIAN, G.; PETRUSHEV, P. ; PICARD , D.; XU, Y.
 Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. J. Funct.
Anal. 256 (2009), no. 4, 1137--1188.


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


KERKYACHARIAN G. , PICARD D.
Constructive Approximation (to appear).
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.
Statistica Sinica (to appear).
Adaptive boxcar deconvolution on full Lebesgue measure sets. (previous version, Prépublication PMA-934 : ( 24/09/2004 ))


KERKYACHARIAN G. , LEPSKI O. , PICARD D.
Mathematical Methods in Statistics (to appear).
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 ) )


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 ))


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 ))