194 citations · 496 across the 24 of their papers we have counts for
17 papers · 1 filter
Convergence rates for smooth k-means change-point detection
Aurélie Fischer, Dominique Picard
In this paper, we consider the estimation of a change-point for possibly high-dimensional data in a Gaussian model, using a k-means method. We prove that, up to a logarithmic term,…
Anisotropic Denoising in Functional Deconvolution Model with Dimension-free Convergence Rates
Rida Benhaddou, Marianna Pensky, Dominique Picard
In the present paper we consider the problem of estimating a periodic -dimensional function based on observations from its noisy convolution. We construct a wavelet esti…
Grouping Strategies and Thresholding for High Dimensional Linear Models
Mathilde Mougeot, Dominique Picard, Karine Tribouley
The estimation problem in a high regression model with structured sparsity is investigated. An algorithm using a two steps block thresholding procedure called GR-LOL is provided. C…
Thomas Bayes' walk on manifolds
Ismael Castillo, Gerard Kerkyacharian, Dominique Picard
Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more genera…
Blockwise SVD with error in the operator and application to blind deconvolution
S. Delattre, M. Hoffmann, D. Picard +1
We consider linear inverse problems in a nonparametric statistical framework. Both the signal and the operator are unknown and subject to error measurements. We establish minimax r…
A new selection method for high-dimensionial instrumental setting: application to the Growth Rate convergence hypothesis
Mathilde Mougeot, Dominique Picard, Karine Tribouley
This paper investigates the problem of selecting variables in regression-type models for an "instrumental" setting. Our study is motivated by empirically verifying the conditional…