Papers › Spatio-temporal Bayesian On-line Changepoint Detection with Model Selection

Spatio-temporal Bayesian On-line Changepoint Detection with Model Selection

14 May 2018ICML 2018 7arXiv:1805.05383archive 2025-07-28

Jeremias Knoblauch, Theodoros Damoulas

Bayesian On-line Changepoint Detection is extended to on-line model selection and non-stationary spatio-temporal processes. We propose spatially structured Vector Autoregressions (VARs) for modelling the process between changepoints (CPs) and give an upper bound on the approximation error of such models. The resulting algorithm performs prediction, model selection and CP detection on-line. Its time complexity is linear and its space complexity constant, and thus it is two orders of magnitudes faster than its closest competitor. In addition, it outperforms the state of the art for multivariate data.

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