Scalable model-free online change-point detection with NEWMA

Probabilités et Statistique

Lieu: 
Salle séminaire M3-324
Orateur: 
Nicolas Keriven
Affiliation: 
ENS
Dates: 
Mercredi, 5 Décembre, 2018 - 10:30 - 11:30
Résumé: 

We consider the problem of detecting abrupt changes in the distribution of a multi-dimensional time series, with limited computing power and memory. In this paper, we propose a new method for model-free online change-point detection that relies only on fast and light recursive statistics, inspired by the classical Exponential Weighted Moving Average algorithm (EWMA). The proposed idea is to compute two EWMA statistics on the stream of data with different forgetting factors, and to compare them. By doing so, we show that we implicitly compare recent samples with older ones, without the need to explicitly store them. Additionally, we leverage Random Features to efficiently use the Maximum Mean Discrepancy as a distance between distributions, and exploit a recently proposed optical device to compute these features with almost no computational cost, in any dimension. We show that our method is orders of magnitude faster than usual non-parametric methods for a given accuracy.