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dc.contributor.authorAgon, Carlos
dc.contributor.authorAndreatta, Moreno
dc.contributor.authorAtif, Jamal
dc.contributor.authorBloch, Isabelle
dc.contributor.authorMascarade, Pierre
dc.date.accessioned2020-05-06T12:14:22Z
dc.date.available2020-05-06T12:14:22Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20699
dc.descriptionLecture Notes in Computer Science book series (LNCS, volume 10872)en
dc.language.isoenen
dc.subjectMusical Information Researchen
dc.subjectComputational music analysisen
dc.subjectFormal concept analysisen
dc.subjectMathematical morphologyen
dc.subjectCongruencesen
dc.subjectQuotient latticesen
dc.subjectHarmonico-morphological descriptorsen
dc.subject.ddc512en
dc.titleMusical Descriptions Based on Formal Concept Analysis and Mathematical Morphologyen
dc.typeCommunication / Conférence
dc.description.abstractenIn the context of mathematical and computational representations of musical structures, we propose algebraic models for formalizing and understanding the harmonic forms underlying musical compositions. These models make use of ideas and notions belonging to two algebraic approaches: Formal Concept Analysis (FCA) and Mathematical Morphology (MM). Concept lattices are built from interval structures whereas mathematical morphology operators are subsequently defined upon them. Special equivalence relations preserving the ordering structure of the lattice are introduced in order to define musically relevant quotient lattices modulo congruences. We show that the derived descriptors are well adapted for music analysis by taking as a case study Ligeti’s String Quartet No. 2.en
dc.identifier.citationpages105-119en
dc.relation.ispartoftitleGraph-Based Representation and Reasoningen
dc.relation.ispartofeditorChapman, Peter
dc.relation.ispartofeditorEndres, Dominik
dc.relation.ispartofeditorPernelle, Nathalie
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityChamen
dc.relation.ispartofpages201en
dc.relation.ispartofurl10.1007/978-3-319-91379-7en
dc.subject.ddclabelAlgèbreen
dc.relation.ispartofisbn978-3-319-91379-7en
dc.relation.conftitle23rd International Conference on Conceptual Structures, ICCS 2018en
dc.relation.confdate2018-06
dc.relation.confcityEdinburgh, UKen
dc.relation.confcountryUnited Kingdomen
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-3-319-91379-7_9en
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2020-05-06T12:06:41Z
hal.person.labIds1374
hal.person.labIds93707
hal.person.labIds989
hal.person.labIds162010
hal.person.labIds989


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