InforLorV4, Main, Exploration, bibRecord, 000477

Revisiting Pattern Structure Projections

Identifieur interne : 000477 ( Main/Exploration ); précédent : 000476; suivant : 000478

Revisiting Pattern Structure Projections

Auteurs : Aleksey Buzmakov [France] ; Sergei O. Kuznetsov [Russie] ; Amedeo Napoli [France]

Source :

RBID : Hal:hal-01186719

English descriptors

mix :
- Formal concept analysis, Pattern structures, Projections, Representation contexts.

Abstract

Formal concept analysis (FCA) is a well-founded method for data analysis and has many applications in data mining. Pattern structures is an extension of FCA for dealing with complex data such as sequences or graphs. However the computational complexity of computing with pattern structures is high and projections of pattern structures were introduced for simplifying computation. In this paper we introduce o-projections of pattern structures, a generalization of projections which defines a wider class of projections preserving the properties of the original approach. Moreover, we show that o-projections form a semilattice and we discuss the correspondence between o-projections and the representation contexts of o-projected pattern structures.

Url:

https://hal.archives-ouvertes.fr/hal-01186719

DOI: 10.1007/978-3-319-19545-2_13

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 004194
to stream Hal, to step Curation: 004194
to stream Hal, to step Checkpoint: 000458
to stream Main, to step Merge: 000477
to stream Main, to step Curation: 000477

Le document en format XML

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<orgName>Université de Lorraine</orgName>
<orgName type="acronym">UL</orgName>
<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.univ-lorraine.fr/</ref>
</desc>
</org>
</tutelle>
<tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
</desc>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
</affiliation>
</author>
</analytic>
<idno type="DOI">10.1007/978-3-319-19545-2_13</idno>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Formal concept analysis</term>
<term>Pattern structures</term>
<term>Projections</term>
<term>Representation contexts</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Formal concept analysis (FCA) is a well-founded method for data analysis and has many applications in data mining. Pattern structures is an extension of FCA for dealing with complex data such as sequences or graphs. However the computational complexity of computing with pattern structures is high and projections of pattern structures were introduced for simplifying computation. In this paper we introduce o-projections of pattern structures, a generalization of projections which defines a wider class of projections preserving the properties of the original approach. Moreover, we show that o-projections form a semilattice and we discuss the correspondence between o-projections and the representation contexts of o-projected pattern structures.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>Russie</li>
</country>
<region><li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Lorraine</li>
</orgName>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Buzmakov, Aleksey" sort="Buzmakov, Aleksey" uniqKey="Buzmakov A" first="Aleksey" last="Buzmakov">Aleksey Buzmakov</name>
</region>
<name sortKey="Napoli, Amedeo" sort="Napoli, Amedeo" uniqKey="Napoli A" first="Amedeo" last="Napoli">Amedeo Napoli</name>
</country>
<country name="Russie"><noRegion><name sortKey="Kuznetsov, Sergei O" sort="Kuznetsov, Sergei O" uniqKey="Kuznetsov S" first="Sergei O." last="Kuznetsov">Sergei O. Kuznetsov</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>

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Revisiting Pattern Structure Projections

Revisiting Pattern Structure Projections

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