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Belief Revision and the EM Algorithm

Couso, Inès and Dubois, Didier Belief Revision and the EM Algorithm. (2016) In: 16th International Conference on Information Processing and Management (IPMU 2016), 20 June 2016 - 24 June 2016 (Eindhoven, Netherlands).

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Official URL: http://dx.doi.org/10.1007/978-3-319-40581-0_23

Abstract

This paper provides a natural interpretation of the EM algorithm as a succession of revision steps that try to find a probability distribution in a parametric family of models in agreement with frequentist observations over a partition of a domain. Each step of the algorithm corresponds to a revision operation that respects a form of minimal change. In particular, the so-called expectation step actually applies Jeffrey’s revision rule to the current best parametric model so as to respect the frequencies in the available data. We also indicate that in the presence of incomplete data, one must be careful in the definition of the likelihood function in the maximization step, which may differ according to whether one is interested by the precise modeling of the underlying random phenomenon together with the imperfect observation process, or by the modeling of the underlying random phenomenon alone, despite imprecision.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 611 of Communications in Computer and Information Science ISSN: 1865-0929 ISBN 978-3-319-40580-3 The original PDF is available at: http://link.springer.com/chapter/10.1007%2F978-3-319-40581-0_23
HAL Id:hal-01445231
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Universidad de Oviedo (SPAIN)
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Deposited By: IRIT IRIT
Deposited On:11 Jan 2017 15:56

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