DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jung, Paul Heajoon | ko |
dc.contributor.author | Lee, Jiho | ko |
dc.contributor.author | Sam Staton | ko |
dc.contributor.author | Yang, Hongseok | ko |
dc.date.accessioned | 2021-03-22T08:50:10Z | - |
dc.date.available | 2021-03-22T08:50:10Z | - |
dc.date.created | 2020-08-26 | - |
dc.date.created | 2020-08-26 | - |
dc.date.issued | 2021-01 | - |
dc.identifier.citation | Annales Henri Lebesgue, v.4, pp.325 - 368 | - |
dc.identifier.issn | 2644-9463 | - |
dc.identifier.uri | http://hdl.handle.net/10203/281746 | - |
dc.description.abstract | Motivated by the problem of designing inference-friendly Bayesian nonparametric models in probabilistic programming languages, we introduce a general class of partially exchangeable random arrays which generalizes the notion of hierarchical exchangeability introduced in Austin and Panchenko (2014). We say that our partially exchangeable arrays are DAG-exchangeable since their partially exchangeable structure is governed by a collection of Directed Acyclic Graphs. More specifically, such a random array is indexed by ℕ|𝑉| for some DAG 𝐺=(𝑉,𝐸), and its exchangeability structure is governed by the edge set 𝐸. We prove a representation theorem for such arrays which generalizes the Aldous-Hoover and Austin–Panchenko representation theorems. | - |
dc.language | English | - |
dc.publisher | Centre Mersenne | - |
dc.title | A Generalization of Hierarchical Exchangeability on Trees to Directed Acyclic Graphs | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.citation.volume | 4 | - |
dc.citation.beginningpage | 325 | - |
dc.citation.endingpage | 368 | - |
dc.citation.publicationname | Annales Henri Lebesgue | - |
dc.identifier.doi | 10.5802/ahl.74 | - |
dc.contributor.localauthor | Jung, Paul Heajoon | - |
dc.contributor.localauthor | Yang, Hongseok | - |
dc.contributor.nonIdAuthor | Sam Staton | - |
dc.description.isOpenAccess | N | - |
dc.subject.keywordAuthor | Bayesian nonparametrics | - |
dc.subject.keywordAuthor | exchangeability | - |
dc.subject.keywordAuthor | hierarchical exchangeability | - |
dc.subject.keywordAuthor | Aldous–Hoover representation | - |
dc.subject.keywordAuthor | de Finetti representation | - |
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