Stick-breaking construction for the Indian buffet process
The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stick-breaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are ef...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2007
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| _version_ | 1797074576292708352 |
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| author | Teh, Y Görür, D Ghahramani, Z |
| author_facet | Teh, Y Görür, D Ghahramani, Z |
| author_sort | Teh, Y |
| collection | OXFORD |
| description | The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stick-breaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are efficient, easy to implement and are more generally applicable than the currently available Gibbs sampler. This representation, along with the work of Thibaux and Jordan [17], also illuminates interesting theoretical connections between the IBP, Chinese restaurant processes, Beta processes and Dirichlet processes. |
| first_indexed | 2024-03-06T23:38:13Z |
| format | Journal article |
| id | oxford-uuid:6e65f1e3-6181-4cb3-9474-bd4ae391cd0f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:38:13Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:6e65f1e3-6181-4cb3-9474-bd4ae391cd0f2022-03-26T19:24:10ZStick-breaking construction for the Indian buffet processJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6e65f1e3-6181-4cb3-9474-bd4ae391cd0fEnglishSymplectic Elements at Oxford2007Teh, YGörür, DGhahramani, ZThe Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stick-breaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are efficient, easy to implement and are more generally applicable than the currently available Gibbs sampler. This representation, along with the work of Thibaux and Jordan [17], also illuminates interesting theoretical connections between the IBP, Chinese restaurant processes, Beta processes and Dirichlet processes. |
| spellingShingle | Teh, Y Görür, D Ghahramani, Z Stick-breaking construction for the Indian buffet process |
| title | Stick-breaking construction for the Indian buffet process |
| title_full | Stick-breaking construction for the Indian buffet process |
| title_fullStr | Stick-breaking construction for the Indian buffet process |
| title_full_unstemmed | Stick-breaking construction for the Indian buffet process |
| title_short | Stick-breaking construction for the Indian buffet process |
| title_sort | stick breaking construction for the indian buffet process |
| work_keys_str_mv | AT tehy stickbreakingconstructionfortheindianbuffetprocess AT gorurd stickbreakingconstructionfortheindianbuffetprocess AT ghahramaniz stickbreakingconstructionfortheindianbuffetprocess |