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Les Factorisations En Matrices Non-Négatives by Bertin-N

Les Factorisations En Matrices Non-Négatives

by Bertin-N
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Book cover type: Paperback
  • ISBN13: 9786131527807
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 228
  • Original Price: GBP 57.0
  • Language: French
  • Edition: N/A
  • Item Weight: 341 grams
  • BISAC Subject(s): Information Technology

La transcription automatique de la musique est l'opération qui consiste, partant du seul contenu audio, à produire une représentation symbolique d'un morceau de musique. En particulier, la transcription de musique polyphonique est un problème largement ouvert. Les décompositions en valeurs propres ou singulières sont des techniques classiques d'algèbre linéaire largement utilisées en traitement du signal. Elles permettent de représenter efficacement les données observées en utilisant un nombre limité d'atomes élémentaires. Ces atomes ne sont pas recherchés au sein d'un dictionnaire pré-défini, mais sont extraits des données elles-mèmes. La factorisation en matrices non-négatives est une technique analogue, qui réduit le rang tout en fournissant des atomes à valeurs exclusivement positives, plus facilement interprétables. Ce mémoire est consacré à l'étude théorique et expérimentale détaillée de ces méthodes, des systèmes de transcription qui les utilisent, de la pertinence sémantique des représentations produites, et des propriétés théoriques et pratiques des algorithmes existants et originaux mis en oeuvre.

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