{"id":"https://openalex.org/W3143523669","doi":"https://doi.org/10.1109/iciap.2007.4362849","title":"Fast convergence for spectral clustering","display_name":"Fast convergence for spectral clustering","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W3143523669","doi":"https://doi.org/10.1109/iciap.2007.4362849","mag":"3143523669"},"language":"en","primary_location":{"id":"doi:10.1109/iciap.2007.4362849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iciap.2007.4362849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"14th International Conference on Image Analysis and Processing (ICIAP 2007)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054184668","display_name":"Marco Aiello","orcid":"https://orcid.org/0000-0002-3676-0664"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Aiello","raw_affiliation_strings":["Universit\u00e0 di Napoli Federico II, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Napoli Federico II, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002162559","display_name":"F. Andreozzi","orcid":"https://orcid.org/0009-0005-6716-8005"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Andreozzi","raw_affiliation_strings":["Universit\u00e0 di Napoli Federico II, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Napoli Federico II, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075537339","display_name":"Ezio Catanzariti","orcid":null},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Catanzariti","raw_affiliation_strings":["Universit\u00e0 di Napoli Federico II, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Napoli Federico II, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032731543","display_name":"Francesco Isgr\u00f2","orcid":"https://orcid.org/0000-0001-9342-5291"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Isgro","raw_affiliation_strings":["Universit\u00e0 di Napoli Federico II, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Napoli Federico II, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033050657","display_name":"Matteo Santoro","orcid":"https://orcid.org/0000-0002-1670-5609"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Santoro","raw_affiliation_strings":["Universit\u00e0 di Napoli Federico II, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Napoli Federico II, Italy","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.57129572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"641","last_page":"646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10689","display_name":"Remote-Sensing Image Classification","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spectral-clustering","display_name":"Spectral clustering","score":0.7837627530097961},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7753391265869141},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7677015662193298},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5809743404388428},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5065830945968628},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.492856502532959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.489170104265213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47437769174575806},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.45300284028053284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40615448355674744},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.3968566060066223},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3220406770706177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27165836095809937},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2278652787208557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13390448689460754},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10621929168701172}],"concepts":[{"id":"https://openalex.org/C105611402","wikidata":"https://www.wikidata.org/wiki/Q2976589","display_name":"Spectral clustering","level":3,"score":0.7837627530097961},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7753391265869141},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7677015662193298},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5809743404388428},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5065830945968628},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.492856502532959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.489170104265213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47437769174575806},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.45300284028053284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40615448355674744},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3968566060066223},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3220406770706177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27165836095809937},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2278652787208557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13390448689460754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10621929168701172},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iciap.2007.4362849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iciap.2007.4362849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"14th International Conference on Image Analysis and Processing (ICIAP 2007)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1992419399","https://openalex.org/W2002826074","https://openalex.org/W2121947440","https://openalex.org/W2132914434","https://openalex.org/W2135674549","https://openalex.org/W2152322845","https://openalex.org/W2165874743","https://openalex.org/W6684578312"],"related_works":["https://openalex.org/W1482912984","https://openalex.org/W2902850141","https://openalex.org/W2607797544","https://openalex.org/W2921748058","https://openalex.org/W2885900820","https://openalex.org/W1556852487","https://openalex.org/W4380570985","https://openalex.org/W2136935487","https://openalex.org/W2265158691","https://openalex.org/W2032317191"],"abstract_inverted_index":{"Over":[0],"the":[1,12,18,23,28,32,37,43,48,53,65,97,108,127,132,144,153,199,208],"last":[2],"years":[3],"computer":[4],"vision":[5],"researchers":[6],"have":[7],"shown":[8],"great":[9],"interest":[10],"for":[11,47,95,113,123,174],"so":[13],"called":[14],"spectral":[15,188],"clustering,":[16],"where":[17],"data":[19,51],"are":[20,171],"clustered":[21],"analysing":[22],"first":[24,33,133],"few":[25],"eigenvectors":[26,54],"(i.e.,":[27],"ones":[29],"relative":[30],"to":[31,57,126,201],"eigenvalues)":[34],"of":[35,50,67,104,110,156,162,184,187,207],"a":[36,83,101,136,159,176],"Laplacian":[38],"matrix,":[39],"derived":[40],"directly":[41],"from":[42,143],"data-set.":[44],"Note":[45],"that":[46,166],"purpose":[49],"clustering":[52,62],"need":[55],"not":[56,169,210],"be":[58],"determined":[59],"accurately.":[60],"When":[61],"(segmenting)":[63],"images":[64],"dimension":[66],"this":[68,180,195,213],"matrix":[69],"is":[70],"large":[71],"(e.g.,":[72],"an":[73],"image":[74],"as":[75,77],"small":[76,160],"100":[78,80],"times":[79,85,115],"results":[81,192],"in":[82,107,158,212],"10000":[84,86],"matrix),":[87],"and":[88,118,197],"standard":[89],"diagonalisation":[90,138],"algorithms":[91],"such":[92],"Lanczos,":[93],"necessary":[94],"determining":[96],"eigenvectors,":[98,165],"do":[99],"require":[100],"certain":[102],"number":[103,161],"iterations:":[105],"typically":[106],"order":[109],"radicn":[111],"step":[112],"n":[114,116],"matrices,":[117],"may":[119],"take":[120],"some":[121],"iterations":[122],"getting":[124],"close":[125],"solutions.":[128],"Here":[129],"we":[130,182],"report":[131],"attempt":[134],"using":[135],"recent":[137],"algorithm":[139,209],"(named":[140],"APL)":[141],"borrowed":[142],"nuclear":[145],"physics":[146],"literature,":[147],"that,":[148],"among":[149],"other":[150],"properties,":[151],"has":[152],"main":[154],"advantage":[155],"obtaining":[157],"iteration":[163],"steps":[164],"even":[167],"if":[168],"accurate,":[170],"good":[172],"enough":[173],"performing":[175],"reasonable":[177],"segmentation.":[178],"In":[179],"sense":[181],"talk":[183],"fast":[185],"convergence":[186],"clustering.":[189],"The":[190],"experimental":[191],"obtained":[193],"support":[194],"claim,":[196],"open":[198],"way":[200],"further":[202,205],"work":[203],"exploiting":[204],"detail":[206],"included":[211],"study.":[214]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}