3 papers
math.ST2025
Optimal inference for the mean of random functions
Omar Kassi, Valentin Patilea
We study estimation and inference for the mean of real-valued random functions defined on a hypercube. The independent random functions are observed on a discrete, random subset of…
stat.ME2024
Structural adaptation and rate accelerated estimation in bivariate functional data
Omar Kassi, Sunny G. W. Wang
We introduce directional regularity, a new definition of anisotropy for multivariate functional data. Instead of taking the conventional view, which determines anisotropy as a noti…
math.ST2023
Learning the regularity of multivariate functional data
Omar Kassi, Nicolas Klutchnikoff, Valentin Patilea
Combining information both within and between sample realizations, we propose a simple estimator for the local regularity of surfaces in the functional data framework. The independ…