PCA for Point Processes

arXiv:2404.19661v1 Announce Type: cross
Abstract: We introduce a novel statistical framework for the analysis of replicated point processes that allows for the study of point pattern variability at a population level. By treating point process realizations as random measures, we adopt a functional analysis perspective and propose a form of functional Principal Component Analysis (fPCA) for point processes. The originality of our method is to base our analysis on the cumulative mass functions of the random measures which gives us …

abstract analysis arxiv form framework functional novel pattern pca perspective population process processes random statistical stat.me stat.ml study type