Inverse problems

Estimation in the convolution structure density model. Part II: adaptation over the scale of anisotropic classes. (written with Oleg Lepski)

Estimation in the convolution structure density model. Part I: Oracle inequalities. (written with Oleg Lepski)

Lower bounds in the convolution structure density model (written with Oleg Lepski)

Optimal bounds for inverse problems with Jacobi-type eigenfunctions

Needlet algorithms for estimation in inverse problems (written with Gérard Kerkyacharian, Pencho Petrushev and Dominique Picard)

Deconvolution in white noise with a random blurring function


Warped wavelets

Numerical performances of a warped wavelet estimator for regression in random design (written with Christophe Chesneau)

Estimation of a cumulative distribution function under interval censoring "case 1" via warped wavelets (written with Christophe Chesneau)


Multifractal analysis

A family of functions with two different spectra of singularities (written with Claire Coiffard and Clothilde Melot)


Thesis report

Estimation non paramétrique et problemes inverses





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