Publications :
Publications :
L. Cavalier. Inverse problems in
statistics. Inverse Problems and High-Dimensional Estimation. Lecture Notes in Statistics 203, Springer (2011).
L. Cavalier, M. Raimondo.
Multiscale density estimation with errors in variables.
Journal of Korean Stat. Society 39 (2010),417-429.
L. Cavalier, N.W. Hengartner.
Estimating linear functionals in Poisson mixture models.
Journal of Nonpara. Statistics 21 (2009), 713-728.
L. Cavalier.
Nonparametric statistical inverse problems.
Inverse Problems 24 (2008), 1-19.
L. Cavalier, M. Raimondo.
Wavelet deconvolution with noisy eigenvalues.
IEEE Trans. on Signal Processing 55 (2007), 2414-2424.
L. Cavalier, G.K. Golubev.
Risk hull method and regularization by projections of ill-posed
inverse problems. Annals of Statistics 34 (2006), 1653-1677.
L. Cavalier.
Inverse problems with non-compact operators. Journal Stat. Planning Inference 136 (2006), 390-400.
L. Cavalier, N.W. Hengartner.
Adaptive estimation for inverse problems with noisy operators.
Inverse Problems 21 (2005), 1345-1361.
L. Cavalier.
Estimation in a problem of
fractional integration. Inverse Problems 20 (2004), 1445-1454.
L. Cavalier, G.K. Golubev, O.Lepski,
A.B.Tsybakov.
Block thresholding and sharp
adaptive estimation in severely ill-posed inverse problems.
Theory of Proba. and its Appli. 48 (2003), 534-556 (version SIAM 48
(2004), 426-446).
L. Cavalier, J-Y. Koo. Poisson intensity estimation for tomographic data using a
wavelet shrinkage approach. IEEE Trans. on Info. Theory 48 (2002), 2794-2802.
L. Cavalier, A.B. Tsybakov.
Sharp adaptation for inverse
problems with random noise. Proba. Theory and Related
Fields 123 (2002), 323-354.
L. Cavalier, G.K. Golubev, D.
Picard, A.B. Tsybakov.
Oracle inequalities for inverse problems.
Annals of Statistics 30 (2002), 843-874.
L. Cavalier , A.B. Tsybakov.
Penalized blockwise Stein's
method, monotone oracles and
sharp adaptive estimation. Math. Methods of Stat. 10
(2001), 247-282.
L. Cavalier.
On the problem of local
adaptive estimation in
tomography. Bernoulli 7 (2001), 63-78.
L. Cavalier. Efficient estimation of a density in a
problem of
tomography. Annals of Statistics 28 (2000), 330-347.
L. Cavalier.
Asymptotically efficient
estimation in a problem related to
tomography. Math. Methods of Stat. 7 (1998), 445-456.
L. Cavalier.
Nonparametric estimation of
regression level sets.
Statistics 29 (1997), 131-160.
L. Cavalier.
Sur l'efficacité
asymptotique dans un problème
de tomographie. C.R. Acad. Sci. 325 (1997), 903-906.
Other : L. Cavalier, M. Reiss. Inverse problems and sparsity. (work in progress).
L. Cavalier, T. Hohage.Risk hull method for a regularized Newton
method. (work in progress).
L. Cavalier, P. Rigollet. Aggregation of risk hull estimators.
(work in progress).
L. Cavalier., M. Raimondo.
On choosing wavelet resolution in image deblurring. IEEE (2006).
L. Cavalier .
Discussion of ``Wavelet deconvolution in a periodic setting''
by I.M. Johnstone, G. Kerkyacharian, D. Picard and M. Raimondo.
J. Royal Statist. Soc. Ser. B, 66 (2004), 627-652.
L. Cavalier.
Problèmes inverses en
statistique. (Habilitation 2003)
L. Cavalier.
Estimation non
paramétrique pour deux problèmes
liés à l'image. (Thèse, PhD, 1998).