  @prefix epid: <http://repository.wit.ie/id/> .
  @prefix void: <http://rdfs.org/ns/void#> .
  @prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
  @prefix cc: <http://creativecommons.org/ns#> .
  @prefix ep: <http://eprints.org/ontology/> .
  @prefix eprel: <http://eprints.org/relation/> .
  @prefix dc: <http://purl.org/dc/elements/1.1/> .
  @prefix bibo: <http://purl.org/ontology/bibo/> .
  @prefix geo: <http://www.w3.org/2003/01/geo/wgs84_pos#> .
  @prefix owl: <http://www.w3.org/2002/07/owl#> .
  @prefix event: <http://purl.org/NET/c4dm/event.owl#> .
  @prefix skos: <http://www.w3.org/2004/02/skos/core#> .
  @prefix foaf: <http://xmlns.com/foaf/0.1/> .
  @prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
  @prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
  @prefix dct: <http://purl.org/dc/terms/> .

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	dc:format "text/html";
	dc:title "HTML Summary of #3174 \n\nGhostbusters: A Parts-based NMF Algorithm\n\n";
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	bibo:abstract "An exact nonnegative matrix decomposition algorithm is proposed. This is achieved by 1) Taking a nonlinear approximation of a sparse real-valued dataset at a given tolerance-to-error constraint, e; 2) Choosing an arbitrary lectic ordering on the rows or column entries; And, then 3) systematically applying a closure operator, so that all closures are selected. Assuming a nonnegative hierarchical closure structure (a Galois lattice) ensures the data has a unique ordered overcomplete dictionary representation. Parts-based constraints on these closures can then be used to specify and supervise the form of the solution. We illustrate that this approach outperforms NMF on two standard NMF datasets: it exhibits the properties described above; It\nis correct and exact."^^xsd:string;
	bibo:authorList <http://repository.wit.ie/id/eprint/3174#authors>;
	bibo:status <http://purl.org/ontology/bibo/status/peerReviewed>,
		<http://purl.org/ontology/bibo/status/published>;
	bibo:volume "24";
	dct:creator <http://repository.wit.ie/id/org/ext-8e7d5d891afc687615d242bd719b7580>,
		<http://repository.wit.ie/id/org/ext-af0a9a5baed87c407844a3f5db44597c>,
		<http://repository.wit.ie/id/person/ext-rdefrein@wit.ie>;
	dct:date "2013-07";
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		<http://repository.wit.ie/id/publication/ext-ed8b5de52dd7250e19b2f61118e77887>;
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	dct:subject <http://repository.wit.ie/id/subject/rsrch_tssg>;
	dct:title "Ghostbusters: A Parts-based NMF Algorithm"^^xsd:string;
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		<http://repository.wit.ie/id/document/4738>,
		<http://repository.wit.ie/id/document/4739>,
		<http://repository.wit.ie/id/document/4740>,
		<http://repository.wit.ie/id/document/4741>;
	rdf:type bibo:AcademicArticle,
		bibo:Article,
		ep:ArticleEPrint,
		ep:EPrint;
	rdfs:seeAlso <http://repository.wit.ie/3174/> .

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	rdf:type skos:Concept;
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	foaf:name "IET and IEEE"^^xsd:string;
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	foaf:name "IET"^^xsd:string;
	rdf:type foaf:Organization .

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	foaf:name "IEEE"^^xsd:string;
	rdf:type foaf:Organization .

<http://repository.wit.ie/id/person/ext-rdefrein@wit.ie>
	foaf:familyName "de Fréin"^^xsd:string;
	foaf:givenName "Ruairí"^^xsd:string;
	foaf:name "Ruairí de Fréin"^^xsd:string;
	rdf:type foaf:Person .

<http://repository.wit.ie/id/publication/ext-ed8b5de52dd7250e19b2f61118e77887>
	foaf:name "24th IET Irish Signals and Systems Conference (ISSC 2013)"^^xsd:string;
	rdf:type bibo:Collection .

