TY - GEN
T1 - Robust Bayesian Changepoint Analysis in the Presence of Outliers
AU - Sugasawa, Shonosuke
AU - Hashimoto, Shintaro
N1 - Funding Information:
Fig. 4 Posterior medians of θt (blue lines), detected change-points (red vertical lines), and posterior probability of {θt+1 − θt ≥ 0.1} based on the HCP and RHCP methods, applied to the Well-Log data Acknowledgements The authors would like to thank the referees for the careful reading of the paper, and the valuable suggestions and comments. This work is partially supported by Japan Society for Promotion of Science (KAKENHI) grant numbers 18K12757 and 17K14233.
Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2021
Y1 - 2021
N2 - We introduce a new robust Bayesian change-point analysis in the presence of outliers. We employ an idea of general posterior based on density power divergence combined with horseshoe prior for differences of underlying signals. A posterior computation algorithm is proposed using Markov chain Monte Carlo. The proposed method is demonstrated through simulation and real data analysis.
AB - We introduce a new robust Bayesian change-point analysis in the presence of outliers. We employ an idea of general posterior based on density power divergence combined with horseshoe prior for differences of underlying signals. A posterior computation algorithm is proposed using Markov chain Monte Carlo. The proposed method is demonstrated through simulation and real data analysis.
KW - Change-point analysis
KW - Density power divergence
KW - Horseshoe prior
KW - State space model
UR - http://www.scopus.com/inward/record.url?scp=85112028913&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85112028913&partnerID=8YFLogxK
U2 - 10.1007/978-981-16-2765-1_39
DO - 10.1007/978-981-16-2765-1_39
M3 - Conference contribution
AN - SCOPUS:85112028913
SN - 9789811627644
T3 - Smart Innovation, Systems and Technologies
SP - 469
EP - 478
BT - Intelligent Decision Technologies - Proceedings of the 13th KES-IDT 2021 Conference
A2 - Czarnowski, Ireneusz
A2 - Howlett, Robert J.
A2 - Jain, Lakhmi C.
PB - Springer Science and Business Media Deutschland GmbH
T2 - 13th International KES Conference on Intelligent Decision Technologies, KES-IDT 2021
Y2 - 14 June 2021 through 16 June 2021
ER -