{"id":"https://openalex.org/W3007353017","doi":"https://doi.org/10.1109/bigdata47090.2019.9006572","title":"Fast Computation of Persistent Homology with Data Reduction and Data Partitioning","display_name":"Fast Computation of Persistent Homology with Data Reduction and Data Partitioning","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3007353017","doi":"https://doi.org/10.1109/bigdata47090.2019.9006572","mag":"3007353017"},"language":"en","primary_location":{"id":"doi:10.1109/bigdata47090.2019.9006572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bigdata47090.2019.9006572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Big Data (Big Data)","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/A5053803135","display_name":"Nicholas O. Malott","orcid":"https://orcid.org/0000-0003-3848-4381"},"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":"Nicholas O. Malott","raw_affiliation_strings":["Dept. of EECS, University of Cincinnati, Cincinnati, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of EECS, University of Cincinnati, Cincinnati, OH, USA","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":["Dept. of EECS, University of Cincinnati, Cincinnati, OH, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of EECS, University of Cincinnati, Cincinnati, OH, USA","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":1.0109,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80034793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"880","last_page":"889"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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":0.9951000213623047,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9574000239372253,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6663710474967957},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.6359456181526184},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6098498106002808},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5605223774909973},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39667969942092896},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3663497269153595},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3502078056335449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20482826232910156}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6663710474967957},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.6359456181526184},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6098498106002808},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5605223774909973},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39667969942092896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3663497269153595},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3502078056335449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20482826232910156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bigdata47090.2019.9006572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bigdata47090.2019.9006572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Big Data (Big Data)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W28435248","https://openalex.org/W1486210143","https://openalex.org/W1607787316","https://openalex.org/W1753705553","https://openalex.org/W1842708415","https://openalex.org/W1960384938","https://openalex.org/W1965706831","https://openalex.org/W1989757660","https://openalex.org/W1991566301","https://openalex.org/W1995627295","https://openalex.org/W2021125686","https://openalex.org/W2025684046","https://openalex.org/W2071391326","https://openalex.org/W2110446829","https://openalex.org/W2124338751","https://openalex.org/W2187925611","https://openalex.org/W2413735606","https://openalex.org/W2763959081","https://openalex.org/W2912764462","https://openalex.org/W2964237352","https://openalex.org/W3098455240","https://openalex.org/W3103629626","https://openalex.org/W3114792777","https://openalex.org/W3140579943","https://openalex.org/W4301143711","https://openalex.org/W6636338475","https://openalex.org/W6638638485","https://openalex.org/W6686900618","https://openalex.org/W6694154208","https://openalex.org/W6727982348","https://openalex.org/W6745615463"],"related_works":["https://openalex.org/W3128725485","https://openalex.org/W2797851727","https://openalex.org/W3159198591","https://openalex.org/W4293460689","https://openalex.org/W4281250841","https://openalex.org/W2086392476","https://openalex.org/W4224300916","https://openalex.org/W2616199403","https://openalex.org/W4221167265","https://openalex.org/W2477549100"],"abstract_inverted_index":{"Persistent":[0],"homology":[1,27,47,84,160,230],"is":[2,9,125],"a":[3,51,149,198],"method":[4,195,219],"of":[5,15,34,82,101,151,168,200],"data":[6,54,69,88,120,132,152,155,163,178,188,203],"analysis":[7,33,133],"that":[8,115,164,185,209],"based":[10],"in":[11,56,118,127],"the":[12,18,32,39,80,90,99,111,119,136,166,176,182,193,202,205,213,225],"mathematical":[13],"field":[14],"topology.":[16],"Unfortunately,":[17],"run-time":[19],"and":[20,154,171],"memory":[21],"complexities":[22],"associated":[23],"with":[24],"computing":[25],"persistent":[26,46,83,159,191,229],"inhibit":[28],"general":[29],"use":[30],"for":[31,190,223],"big":[35,162],"data.":[36,215],"For":[37],"example,":[38],"best":[40],"tools":[41],"currently":[42],"available":[43],"to":[44,72,157],"compute":[45,158],"can":[48,231],"process":[49],"only":[50],"few":[52],"thousand":[53],"points":[55],"\u211d":[57],"<sup":[58],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[60],".":[61],"Several":[62],"studies":[63],"have":[64],"proposed":[65],"using":[66],"sampling":[67],"or":[68],"reduction":[70,153,189],"methods":[71,91],"attack":[73],"this":[74,123],"limit.":[75],"While":[76,122],"these":[77],"approaches":[78],"enable":[79],"computation":[81],"on":[85,161],"much":[86],"larger":[87],"sets,":[89],"are":[92,116,131,139,210],"approximate.":[93],"Furthermore,":[94],"while":[95],"they":[96,105],"largely":[97],"preserve":[98],"results":[100,222],"large":[102,170,206],"topological":[103,113,173,207],"features,":[104],"generally":[106],"miss":[107],"reporting":[108],"information":[109],"about":[110],"small":[112,172],"features":[114,138,174,208],"present":[117],"set.":[121,179],"abstraction":[124],"useful":[126],"many":[128],"cases,":[129],"there":[130],"needs":[134],"where":[135],"smaller":[137],"also":[140,196],"significant":[141,221],"(e.g.,":[142],"brain":[143],"artery":[144],"analysis).":[145],"This":[146],"paper":[147],"explores":[148],"combination":[150],"partitioning":[156],"enables":[165],"identification":[167],"both":[169],"from":[175,212],"input":[177],"To":[180],"reduce":[181],"approximation":[183],"errors":[184],"typically":[186],"accompany":[187],"homology,":[192],"described":[194],"includes":[197],"mechanism":[199],"\u201cupscaling\u201d":[201],"circumscribing":[204],"computed":[211],"sampled":[214],"The":[216],"designed":[217],"experimental":[218],"provides":[220],"improving":[224],"scale":[226],"at":[227],"which":[228],"be":[232],"performed.":[233]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
