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  A Representation Theorem and Applications

Jaeger, M. (2003). A Representation Theorem and Applications. In Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 7th European Conference, ECSQARU 2003 (pp. 50-61). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2C44-7 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2C47-1
Genre: Conference Paper

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 Creators:
Jaeger, Manfred1, Author           
Nielsen, Thomas D., Editor
Zhang, Nevin L., Editor
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We introduce a set of transformations on the set of all probability distributions over a finite state space, and show that these transformations are the only ones that preserve certain elementary probabilistic relationships. This result provides a new perspective on a variety of probabilistic inference problems in which invariance considerations play a role. Two particular applications we consider in this paper are the development of an equivariance-based approach to the problem of measure selection, and a new justification for Haldane's prior as the distribution that encodes prior ignorance about the parameter of a multinomial distribution.

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Language(s): eng - English
 Dates: 2004-06-172003
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 202026
Other: Local-ID: C1256104005ECAFC-8F468E8BDA25A19FC1256D01002C63A8-JaegerECSQARU03
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Title: ECSQARU 2003
Place of Event: Aalborg, Denmark
Start-/End Date: 2003-07-02 - 2003-07-05

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Title: Symbolic and Quantitative Approaches to Reasoning with Uncertainty : 7th European Conference, ECSQARU 2003
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 50 - 61 Identifier: ISBN: 3-540-40494-5

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Title: Lecture Notes in Computer Science
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Pages: - Volume / Issue: 2711 Sequence Number: - Start / End Page: - Identifier: -