Bayesian multiple changing-points detection
This study investigated the application of Bayesian multiple change-point detection techniques in the context of piecewise polynomial signals. Given the limited number of existing methodologies for identifying change-points in such signals, we proposed an objective Bayesian change-point detection ap...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025216 |
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| _version_ | 1850151264906641408 |
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| author | Sang Gil Kang Woo Dong Lee Yongku Kim |
| author_facet | Sang Gil Kang Woo Dong Lee Yongku Kim |
| author_sort | Sang Gil Kang |
| collection | DOAJ |
| description | This study investigated the application of Bayesian multiple change-point detection techniques in the context of piecewise polynomial signals. Given the limited number of existing methodologies for identifying change-points in such signals, we proposed an objective Bayesian change-point detection approach that accommodated heterogeneous error distributions. Our methodology was grounded in a piecewise polynomial regression framework and employed binary segmentation. Initially, we identified change-points across various signals using Bayesian binary segmentation. Subsequently, we applied Bayesian model selection to ascertain the most suitable polynomial order for the identified segments. This approach facilitated a change-point detection method that minimized reliance on subjective inputs. We incorporated intrinsic priors that allowed for the formulation of Bayes factors and model selection probabilities. To evaluate the efficacy of the proposed change-point detection techniques, we conducted a simulation study alongside two empirical case studies: one involving the Goddard Institute for space studies surface temperature analysis and the other concerning the daily closing stock prices of Samsung Electronics Co. |
| format | Article |
| id | doaj-art-e502c1b8b06e44fb9099af5d9c022395 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-e502c1b8b06e44fb9099af5d9c0223952025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-03-011034662470810.3934/math.2025216Bayesian multiple changing-points detectionSang Gil Kang0Woo Dong Lee1Yongku Kim2Department of Data Science, Sangji University, Wonju, KoreaDepartment of Self-Design Convergence, Daegu Haany University, Gyeongsan, KoreaDepartment of Statistics, Kyungpook National University, Daegu, KoreaThis study investigated the application of Bayesian multiple change-point detection techniques in the context of piecewise polynomial signals. Given the limited number of existing methodologies for identifying change-points in such signals, we proposed an objective Bayesian change-point detection approach that accommodated heterogeneous error distributions. Our methodology was grounded in a piecewise polynomial regression framework and employed binary segmentation. Initially, we identified change-points across various signals using Bayesian binary segmentation. Subsequently, we applied Bayesian model selection to ascertain the most suitable polynomial order for the identified segments. This approach facilitated a change-point detection method that minimized reliance on subjective inputs. We incorporated intrinsic priors that allowed for the formulation of Bayes factors and model selection probabilities. To evaluate the efficacy of the proposed change-point detection techniques, we conducted a simulation study alongside two empirical case studies: one involving the Goddard Institute for space studies surface temperature analysis and the other concerning the daily closing stock prices of Samsung Electronics Co.https://www.aimspress.com/article/doi/10.3934/math.2025216binary segmentationchange-points detectionmodel selectionpiecewise polynomial signals |
| spellingShingle | Sang Gil Kang Woo Dong Lee Yongku Kim Bayesian multiple changing-points detection AIMS Mathematics binary segmentation change-points detection model selection piecewise polynomial signals |
| title | Bayesian multiple changing-points detection |
| title_full | Bayesian multiple changing-points detection |
| title_fullStr | Bayesian multiple changing-points detection |
| title_full_unstemmed | Bayesian multiple changing-points detection |
| title_short | Bayesian multiple changing-points detection |
| title_sort | bayesian multiple changing points detection |
| topic | binary segmentation change-points detection model selection piecewise polynomial signals |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025216 |
| work_keys_str_mv | AT sanggilkang bayesianmultiplechangingpointsdetection AT woodonglee bayesianmultiplechangingpointsdetection AT yongkukim bayesianmultiplechangingpointsdetection |