White Functionals for Anomaly Detection in Dynamical Systems

Part of Advances in Neural Information Processing Systems 22 (NIPS 2009)

Bibtex Metadata Paper


Marco Cuturi, Jean-philippe Vert, Alexandre D'aspremont


We propose new methodologies to detect anomalies in discrete-time processes taking values in a set. The method is based on the inference of functionals whose evaluations on successive states visited by the process have low autocorrelations. Deviations from this behavior are used to flag anomalies. The candidate functionals are estimated in a subset of a reproducing kernel Hilbert space associated with the set where the process takes values. We provide experimental results which show that these techniques compare favorably with other algorithms.