PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Change-point estimation from indirect observations. 2. Adaptation
A. Goldenshluger, A. Juditsky, A. Tsybakov and A. Zeevi
Ann. Inst. H. Poincare Probab. Statist. Volume 44, Number 5, pp. 819-836, 2008.


We focus on the problem of adaptive estimation of signal singularities from indirect and noisy observations. A typical example of such singularity we can be a discontinuity (change--point) of the signal or of its derivative. We develop a change--point estimator which adapts to unknown smoothness of a nuisance deterministic component and to unknown jump amplitude. We show that the proposed estimator attains optimal adaptive rates of convergence. A simulation study demonstrates a reasonable practical behavior of the proposed adaptive estimates.

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
Theory & Algorithms
ID Code:5254
Deposited By:Anatoli Iouditski
Deposited On:24 March 2009