Natalia Stepanova

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20232025

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3 papers · 1 filter

math.ST2025

Adaptive almost full recovery in sparse nonparametric models

Natalia Stepanova, Marie Turcicova, Xiang Zhao

We observe an unknown function of $d$ variables $f (t)$ , $t \in [0, 1]^{d}$ , in the Gaussian white noise model of intensity $ε > 0$ . We assume that the…

math.ST2024

Adaptive exact recovery in sparse nonparametric models

Natalia Stepanova, Marie Turcicova

We observe an unknown regression function of $d$ variables $f (t)$ , $t \in [0, 1]^{d}$ , in the Gaussian white noise model of intensity $ε > 0$ . We assu…

math.ST2023

Exact variable selection in sparse nonparametric models

Natalia Stepanova, Marie Turcicova

We study the problem of adaptive variable selection in a Gaussian white noise model of intensity $ε$ under certain sparsity and regularity conditions on an unknown regres…