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<article-title>SMILE: Sound Multiagent Incremental LEarning ;-) </article-title>
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<author><name>Gauvain Bourgne</name></author>
<aff>LAMSADE, UMR 7024 CNRS, University Paris-Dauphine, 75775 Paris Cedex 16 
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<author><name>Amal El Fallah</name></author>
<aff>LIP6, UMR 7606 CNRS, University Paris 6, 104, Av. du pr&#233;sident Kennedy, 75116 Paris
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<author><name>Segrouchni</name></author>
<aff>LIP6, UMR 7606 CNRS, University Paris 6, 104, Av. du pr&#233;sident Kennedy, 75116 Paris
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<author><name>Henry Soldano</name></author>
<aff>LIPN, UMR 7030 CNRS, University Paris-Nord, 99 Av. J-B Clement, 93430, Villetaneuse

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<abstract>
<title>ABSTRACT</title>
<p>This article deals with the problem of collaborative learning
in a multi-agent system. Here each agent can update
incrementally its beliefs <italic>B</italic> (the concept representation) so
that it is in a way kept <italic>consistent</italic> with the whole set of
information <italic>K</italic> (the examples) that he has received from
the environment or other agents. We extend this notion
of consistency (or soundness) to the whole MAS and discuss
how to obtain that, at any moment, a same consistent
concept representation is present in each agent. The corresponding
protocol is applied to supervised concept learning.
The resulting method SMILE (standing for <italic>Sound Multiagent
Incremental LEarning</italic>) is described and experimented
here. Surprisingly some difficult boolean formulas are better
learned, given the same learning set, by a Multi agent
system than by a single agent.</p>
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