Time topological analysis of EEG using signature theory

arXiv:2404.15328v1 Announce Type: cross
Abstract: Anomaly detection in multivariate signals is a task of paramount importance in many disciplines (epidemiology, finance, cognitive sciences and neurosciences, oncology, etc.). In this perspective, Topological Data Analysis (TDA) offers a battery of "shape" invariants that can be exploited for the implementation of an effective detection scheme. Our contribution consists of extending the constructions presented in \cite{chretienleveraging} on the construction of simplicial complexes from the Signatures of signals and their predictive capacities, rather than the …

abstract analysis anomaly anomaly detection arxiv battery cognitive cognitive sciences cs.lg data data analysis detection eeg eess.sp epidemiology etc finance implementation importance multivariate oncology perspective stat.ml theory type