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Paper · arXiv

Adaptive deep nonparametric regression from dependent data under covariate shift

Covariate shift often occurs because, in many real applications, the source and the target observations may be generated from different distributions. In this case, the standard metric under the source distribution is not appropriate. This paper considers deep neural network estimators for nonparametric quantile and Huber regression under covariate shift and from dependent observations. We deal with a generalized Bernstein-type inequality that is satisfied by many classical models, including i.i.d. observations, $φ$-mixing, strong mixing, and $\mathcal{C}$-mixing processes. To perform the covariate shift phenomenon, we propose a sparse-penalized deep neural network (SPDNN) estimator that ...

AuthorsWilliam Kengne, Ehud Mossa Ockegna
Primary categorystat.ML
Published22 July 2026
Last updated at source22 July 2026
stat.MLcs.LG
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