There is a diverse range of practical situations where one may encounter
random variables which are not defined on Euclidean spaces, as it is the case
for circular data. Circular measurements may be accompanied by other
observations, either defined on the unit circumference or on the real line, and
in such cases it may be of interest to model the relationship between the
variables from a regression perspective. It is not infrequent that parametric
models fail to capture the underlying model given their lack of flexibility,
but it may also happen that the usual paradigm of (classical) mean regression.
We will present in this talk some recent advances in nonparametric
multimodal regression, showing an adaptation of the mean-shift algorithm
for regression scenarios involving circular response and/or covariate. Real
data illustrations will be also presented. This is a joint work with María
Alonso-Pena.
4 Marzo 2022
Rosa M. Crujeiras
Centre for Mathematical Research and Technology Transfer of Galicia – CITMAga
University of Santiago de Compostela – Spain