A Bayesian Nonparametric Approach for Clustering Functional Trajectories over Time
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909341347479552 |
|---|---|
| author | Liang, Mingrui Koslovsky, Matthew D. Hebert, Emily T. Kendzor, Darla E. Vannucci, Marina |
| author_facet | Liang, Mingrui Koslovsky, Matthew D. Hebert, Emily T. Kendzor, Darla E. Vannucci, Marina |
| contents | Functional concurrent, or varying-coefficient, regression models are commonly used in biomedical and clinical settings to investigate how the relation between an outcome and observed covariate varies as a function of another covariate. In this work, we propose a Bayesian nonparametric approach to investigate how clusters of these functional relations evolve over time. Our model clusters individual functional trajectories within and across time periods while flexibly accommodating the evolution of the partitions across time periods with covariates. Motivated by mobile health data collected in a novel, smartphone-based smoking cessation intervention study, we demonstrate how our proposed method can simultaneously cluster functional trajectories, accommodate temporal dependence, and provide insights into the transitions between functional clusters over time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11358 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Bayesian Nonparametric Approach for Clustering Functional Trajectories over Time Liang, Mingrui Koslovsky, Matthew D. Hebert, Emily T. Kendzor, Darla E. Vannucci, Marina Methodology Functional concurrent, or varying-coefficient, regression models are commonly used in biomedical and clinical settings to investigate how the relation between an outcome and observed covariate varies as a function of another covariate. In this work, we propose a Bayesian nonparametric approach to investigate how clusters of these functional relations evolve over time. Our model clusters individual functional trajectories within and across time periods while flexibly accommodating the evolution of the partitions across time periods with covariates. Motivated by mobile health data collected in a novel, smartphone-based smoking cessation intervention study, we demonstrate how our proposed method can simultaneously cluster functional trajectories, accommodate temporal dependence, and provide insights into the transitions between functional clusters over time. |
| title | A Bayesian Nonparametric Approach for Clustering Functional Trajectories over Time |
| topic | Methodology |
| url | https://arxiv.org/abs/2405.11358 |