The Institute for Statistics and Mathematics is pleased to invite you to the next research seminar, taking place on campus:

Alessia Caponera(Department of Economics and Finance (DEF), LUISS Guido Carli)
Reproducing Kernel Approach to Tomographic Data
Wednesday, December 11, 2024, 17:30, Building D4, Room D4.0.127

Abstract:
Many natural phenomena pose challenges wherein the function of interest cannot be directly measured. For instance, the density of a brain cannot be directly measured, but rather, only evaluated through 2D sectional images via Computerized Tomography (CT). In such setup where the true random function is a latent feature, how can we estimate their mean function and covariance tensor using discretized indirect observations? In this talk, we consider the tomographic operator as an operator between reproducing kernel Hilbert spaces (RKHS) and establish representer theorems to address the problem of mean and covariance estimation. We also present the uniform rates of convergence of our estimators with respect to our observation scheme, evaluating efficiency through simulation results across various tomographic configurations.

We aim to stream all on-campus talks via Zoom. A direct link to the stream will be posted on our website.

For further information and the seminar schedule, please see:
www.wu.ac.at/en/statmath/research/resseminar