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The Mondrian process

Abstract:

We describe a novel class of distributions, called Mondrian processes, which can be interpreted as probability distributions over κd-tree data structures. Mondrian processes are multidimensional generalizations of Poisson processes and this connection allows us to construct multidimensional generalizations of the stickbreaking process described by Sethuraman (1994), recovering the Dirichlet process in one dimension. After introducing the Aldous-Hoover representation for jointly and separately...

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Journal:
Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference
Pages:
1377-1384
Publication date:
2009-01-01
URN:
uuid:eaf22218-e480-4806-a7ea-1d5b61c68100
Source identifiers:
353238
Local pid:
pubs:353238
Language:
English

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