{"id":"https://openalex.org/W7134959209","doi":"https://doi.org/10.1109/icdmw69685.2025.00128","title":"Computing Persistent Homology Using Discrete Morse Theory","display_name":"Computing Persistent Homology Using Discrete Morse Theory","publication_year":2025,"publication_date":"2025-11-12","ids":{"openalex":"https://openalex.org/W7134959209","doi":"https://doi.org/10.1109/icdmw69685.2025.00128"},"language":null,"primary_location":{"id":"doi:10.1109/icdmw69685.2025.00128","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdmw69685.2025.00128","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Data Mining Workshops (ICDMW)","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/A5128781017","display_name":"Xiaolin Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaolin Yang","raw_affiliation_strings":["University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030","institution_ids":["https://openalex.org/I63135867"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Anurag Yadav","orcid":null},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anurag Yadav","raw_affiliation_strings":["University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030","institution_ids":["https://openalex.org/I63135867"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011672232","display_name":"Philip A. Wilsey","orcid":"https://orcid.org/0000-0002-6562-8646"},"institutions":[{"id":"https://openalex.org/I63135867","display_name":"University of Cincinnati","ror":"https://ror.org/01e3m7079","country_code":"US","type":"education","lineage":["https://openalex.org/I63135867"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip A. Wilsey","raw_affiliation_strings":["University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Cincinnati,Dept of Electrical and Computer Engineering,Cincinnati,OH,45221-0030","institution_ids":["https://openalex.org/I63135867"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63135867"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72690193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1086","last_page":"1095"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9948999881744385,"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":0.9948999881744385,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.47290000319480896},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.35510000586509705},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.33320000767707825},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.32010000944137573},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.30230000615119934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.508400022983551},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.47290000319480896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3580999970436096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3555999994277954},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.35510000586509705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34119999408721924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3352000117301941},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.33320000767707825},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26589998602867126},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26339998841285706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icdmw69685.2025.00128","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdmw69685.2025.00128","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Data Mining Workshops (ICDMW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5585680847","display_name":null,"funder_award_id":"IIS-1909096","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1558576290","https://openalex.org/W1987227236","https://openalex.org/W2002165972","https://openalex.org/W2022805865","https://openalex.org/W2045097502","https://openalex.org/W2064020260","https://openalex.org/W2071569218","https://openalex.org/W2072701060","https://openalex.org/W2087841994","https://openalex.org/W2124338751","https://openalex.org/W2146019744","https://openalex.org/W2149712598","https://openalex.org/W2160639462","https://openalex.org/W2340262195","https://openalex.org/W2397636522","https://openalex.org/W2785155418","https://openalex.org/W2888851372","https://openalex.org/W2964534207","https://openalex.org/W3098455240","https://openalex.org/W3202868818","https://openalex.org/W4212811301","https://openalex.org/W4233690291","https://openalex.org/W4406458113"],"related_works":[],"abstract_inverted_index":{"This":[0,111],"paper":[1],"introduces":[2],"three":[3],"approaches":[4],"for":[5,49],"improving":[6],"Discrete":[7],"Morse":[8,79],"Theory":[9],"(DMT)-based":[10],"persistent":[11,83,145],"homology":[12],"computation,":[13],"namely:":[14],"(i)":[15],"a":[16,28,36,60,116],"parallel":[17],"approximate":[18,33],"method,":[19],"(ii)":[20],"an":[21],"exact":[22],"acyclic":[23,53,78,92],"matching":[24,41],"algorithm,":[25,93],"and":[26,46,62,67,81,105],"(iii)":[27],"novel":[29],"quotient-and-expand":[30,95,127],"strategy.":[31],"The":[32,52],"method":[34,54],"uses":[35],"two-phase":[37],"initialization":[38],"to":[39],"improve":[40],"quality":[42],"over":[43],"existing":[44],"heuristics":[45],"is":[47,113],"well-suited":[48],"lower-dimensional":[50],"data.":[51],"forms":[55],"the":[56,91,94,101,126,131,134,137,144],"core":[57],"contribution,":[58],"establishing":[59],"theoretical":[61],"algorithmic":[63],"bridge":[64],"between":[65],"DMT":[66],"boundary":[68],"matrix":[69,87],"reduction.":[70,88],"By":[71],"leveraging":[72],"priority-queue-based":[73],"augmenting":[74],"paths,":[75],"it":[76],"produces":[77],"matchings":[80],"recovers":[82],"pairs":[84],"consistent":[85],"with":[86],"Building":[89],"on":[90],"strategy":[96,128],"identifies":[97],"contractible":[98],"subcomplexes":[99],"in":[100],"early":[102],"filtration":[103,141],"stage":[104,139],"quotients":[106],"them":[107],"into":[108],"virtual":[109],"vertices.":[110],"operation":[112],"supported":[114],"by":[115],"formal":[117],"result":[118],"from":[119],"algebraic":[120],"topology.":[121],"Experimental":[122],"results":[123],"show":[124],"that":[125],"substantially":[129],"reduces":[130],"size":[132],"of":[133,140],"complex":[135],"at":[136],"final":[138],"while":[142],"preserving":[143],"homology.":[146]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2026-03-12T00:00:00"}