Conditional partial exchangeability: a probabilistic framework for multi-view clustering
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917967373008896 |
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| author | Franzolini, Beatrice De Iorio, Maria Eriksson, Johan |
| author_facet | Franzolini, Beatrice De Iorio, Maria Eriksson, Johan |
| contents | Standard clustering techniques assume a common configuration for all features in a dataset. However, when dealing with multi-view or longitudinal data, the clusters' number, frequencies, and shapes may need to vary across features to accurately capture dependence structures and heterogeneity. In this setting, classical model-based clustering fails to account for within-subject dependence across domains. We introduce conditional partial exchangeability, a novel probabilistic paradigm for dependent random partitions of the same objects across distinct domains. Additionally, we study a wide class of Bayesian clustering models based on conditional partial exchangeability, which allows for flexible dependent clustering of individuals across features, capturing the specific contribution of each feature and the within-subject dependence, while ensuring computational feasibility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01152 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conditional partial exchangeability: a probabilistic framework for multi-view clustering Franzolini, Beatrice De Iorio, Maria Eriksson, Johan Methodology Statistics Theory Standard clustering techniques assume a common configuration for all features in a dataset. However, when dealing with multi-view or longitudinal data, the clusters' number, frequencies, and shapes may need to vary across features to accurately capture dependence structures and heterogeneity. In this setting, classical model-based clustering fails to account for within-subject dependence across domains. We introduce conditional partial exchangeability, a novel probabilistic paradigm for dependent random partitions of the same objects across distinct domains. Additionally, we study a wide class of Bayesian clustering models based on conditional partial exchangeability, which allows for flexible dependent clustering of individuals across features, capturing the specific contribution of each feature and the within-subject dependence, while ensuring computational feasibility. |
| title | Conditional partial exchangeability: a probabilistic framework for multi-view clustering |
| topic | Methodology Statistics Theory |
| url | https://arxiv.org/abs/2307.01152 |