Marie Turčičová

collaborators

3 papers

stat.ME2026

Asymptotically exact threshold for detecting anomalies in multivariate Gaussian data with application to time series

Marie TurÄiÄovÃ¡, PatrÃcia MartinkovÃ¡

In this paper, we propose a new thresholding technique for detecting anomalies in multivariate normal random samples, under the assumption that anomalous observations are sparse an…

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.ST2025

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…