What if you could perform random projections fast ? Well, Nicolas, Damien and Iacopo are answering this question in the change point detection case when the streaming data is large.
NEWMA: a new method for scalable model-free online change-point detection by Nicolas Keriven, Damien Garreau, Iacopo Poli
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. We show that our method is orders of magnitude faster than usual non-parametric methods for a given accuracy.
Implementation of NEWMA is on LightOnAI github.
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