{"id":"https://openalex.org/W2611308315","doi":"https://doi.org/10.1109/globalsip.2016.7905835","title":"Axiomatic hierarchical clustering for intervals of metric distances","display_name":"Axiomatic hierarchical clustering for intervals of metric distances","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2611308315","doi":"https://doi.org/10.1109/globalsip.2016.7905835","mag":"2611308315"},"language":"en","primary_location":{"id":"doi:10.1109/globalsip.2016.7905835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/globalsip.2016.7905835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP)","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/A5102999964","display_name":"Weiyu Huang","orcid":"https://orcid.org/0000-0003-4457-1131"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiyu Huang","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078862959","display_name":"Alejandro Ribeiro","orcid":"https://orcid.org/0000-0003-4230-9906"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alejandro Ribeiro","raw_affiliation_strings":["Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102999964"],"corresponding_institution_ids":["https://openalex.org/I79576946"],"apc_list":null,"apc_paid":null,"fwci":1.7424,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.87046504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"33","issue":null,"first_page":"217","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.7535926103591919},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6953946352005005},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.6869224309921265},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6553256511688232},{"id":"https://openalex.org/keywords/hierarchical-clustering","display_name":"Hierarchical clustering","score":0.6452696323394775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5639392137527466},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49276283383369446},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4812428951263428},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.45707377791404724},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.42538028955459595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4087337255477905},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3318539261817932},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33058011531829834},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.325977623462677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30526232719421387},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10623824596405029},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08717697858810425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0683634877204895}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.7535926103591919},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6953946352005005},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.6869224309921265},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6553256511688232},{"id":"https://openalex.org/C92835128","wikidata":"https://www.wikidata.org/wiki/Q1277447","display_name":"Hierarchical clustering","level":3,"score":0.6452696323394775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5639392137527466},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49276283383369446},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4812428951263428},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.45707377791404724},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.42538028955459595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4087337255477905},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3318539261817932},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33058011531829834},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.325977623462677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30526232719421387},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10623824596405029},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08717697858810425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0683634877204895},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/globalsip.2016.7905835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/globalsip.2016.7905835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP)","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":19,"referenced_works":["https://openalex.org/W115754844","https://openalex.org/W121215922","https://openalex.org/W1671098680","https://openalex.org/W1954168145","https://openalex.org/W2054050358","https://openalex.org/W2110553125","https://openalex.org/W2117218739","https://openalex.org/W2153233077","https://openalex.org/W2165879774","https://openalex.org/W2319660501","https://openalex.org/W2403021721","https://openalex.org/W2471231049","https://openalex.org/W2951311645","https://openalex.org/W2951793426","https://openalex.org/W2999484166","https://openalex.org/W6604882983","https://openalex.org/W6684179334","https://openalex.org/W6764043570","https://openalex.org/W6764105288"],"related_works":["https://openalex.org/W1771651560","https://openalex.org/W2386897142","https://openalex.org/W4300725361","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W2262032878","https://openalex.org/W4289976264","https://openalex.org/W3101572115","https://openalex.org/W2127270425","https://openalex.org/W329313523"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"metric":[3,48],"spaces":[4],"where":[5],"distances":[6],"between":[7],"a":[8,30,37],"pair":[9],"of":[10,26,32,46,67,88,108,122,126],"nodes":[11],"are":[12,74,77,93],"represented":[13],"by":[14,36,95],"distance":[15,44],"intervals.":[16],"The":[17,112],"goal":[18],"is":[19,52],"to":[20,58,64,79],"study":[21],"methods":[22,57,61,73,115],"for":[23],"the":[24,42,47,65,86,103,109],"determination":[25],"hierarchical":[27],"clusters,":[28],"i.e.,":[29],"family":[31],"nested":[33],"partitions":[34],"indexed":[35],"resolution":[38],"parameter,":[39],"induced":[40],"from":[41,124],"given":[43],"intervals":[45],"spaces.":[49],"Our":[50],"construction":[51],"based":[53],"on":[54],"defining":[55],"admissible":[56,72,89],"be":[59],"those":[60,125],"that":[62],"abide":[63],"axioms":[66],"value":[68],"and":[69,76,82,105],"transformation.":[70],"Two":[71],"constructed":[75],"shown":[78],"provide":[80],"upper":[81,106],"lower":[83,104],"bounds":[84,107],"in":[85,117],"space":[87],"methods.":[90],"Practical":[91],"implications":[92],"explored":[94],"clustering":[96,114],"networks":[97,121],"representing":[98],"brain":[99,119],"structural":[100],"connectivity":[101,120],"using":[102],"network":[110],"distance.":[111],"proposed":[113],"succeed":[116],"differentiating":[118],"patients":[123],"healthy":[127],"controls.":[128]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}