Accepted author manuscript, 1.37 MB, PDF document
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Accepted author manuscript, 727 KB, PDF document
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Submitted manuscript
Final published version
Licence: CC BY: Creative Commons Attribution 4.0 International License
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Innovative and Additive Outlier Robust Kalman Filtering with a Robust Particle Filter
AU - Fisch, Alex
AU - Eckley, Idris
AU - Fearnhead, Paul
PY - 2022/1/31
Y1 - 2022/1/31
N2 - In this paper, we propose CE-BASS, a particle mixture Kalman filter which is robust to both innovative and additive outliers, and able to fully capture multi-modality in the distribution of the hidden state. Furthermore, the particle sampling approach re-samples past states, which enables CE-BASS to handle innovative outliers which are not immediately visible in the observations, such as trend changes. The filter is computationally efficient as we derive new, accurate approximations to the optimal proposal distributions for the particles. The proposed algorithm is shown to compare well with existing approaches and is applied to both machine temperature and server data.
AB - In this paper, we propose CE-BASS, a particle mixture Kalman filter which is robust to both innovative and additive outliers, and able to fully capture multi-modality in the distribution of the hidden state. Furthermore, the particle sampling approach re-samples past states, which enables CE-BASS to handle innovative outliers which are not immediately visible in the observations, such as trend changes. The filter is computationally efficient as we derive new, accurate approximations to the optimal proposal distributions for the particles. The proposed algorithm is shown to compare well with existing approaches and is applied to both machine temperature and server data.
KW - Kalman filter
KW - Anomaly detection
KW - Particle filtering
KW - Robust filtering
U2 - 10.1109/TSP.2021.3125136
DO - 10.1109/TSP.2021.3125136
M3 - Journal article
VL - 70
SP - 47
EP - 56
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
SN - 1053-587X
ER -