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BLOG: Probabilistic Models with Unknown Objects

Authors Brian Milch, Bhaskara Marthi, Stuart Russell, David Sontag, Daniel L. Ong, Andrey Kolobov

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DagSemProc.05051.4.pdf
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Keywords
  • Knowledge representation
  • probability
  • first-order logic
  • identity uncertainty
  • unknown objects

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Abstract

We introduce BLOG, a formal language for defining probability models with unknown objects and identity uncertainty.  A BLOG model describes a generative process in which some steps add objects to the world, and others determine attributes and relations on these objects.  Subject to certain acyclicity constraints, a BLOG model specifies a unique probability distribution over first-order model structures that can contain varying and unbounded numbers of objects.  Furthermore, inference algorithms exist for a large class of BLOG models.

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Brian Milch, Bhaskara Marthi, Stuart Russell, David Sontag, Daniel L. Ong, and Andrey Kolobov. BLOG: Probabilistic Models with Unknown Objects. In Probabilistic, Logical and Relational Learning - Towards a Synthesis. Dagstuhl Seminar Proceedings, Volume 5051, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006) https://doi.org/10.4230/DagSemProc.05051.4

Author Details

Brian Milch
Bhaskara Marthi
Stuart Russell
David Sontag
Daniel L. Ong
Andrey Kolobov
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