{"id":"https://openalex.org/W3127037230","doi":"https://doi.org/10.1137/19m1241519","title":"Persistent Homology of Geospatial Data: A Case Study with Voting","display_name":"Persistent Homology of Geospatial Data: A Case Study with Voting","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3127037230","doi":"https://doi.org/10.1137/19m1241519","mag":"3127037230"},"language":"en","primary_location":{"id":"doi:10.1137/19m1241519","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1241519","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-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/A5045928062","display_name":"Michelle Feng","orcid":"https://orcid.org/0000-0001-5048-6430"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michelle Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058684689","display_name":"Mason A. Porter","orcid":"https://orcid.org/0000-0002-5166-0717"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mason A. Porter","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5166-0717","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045928062"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3909,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.94799137,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"63","issue":"1","first_page":"67","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.9272290468215942},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.7216905355453491},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6497197151184082},{"id":"https://openalex.org/keywords/geospatial-analysis","display_name":"Geospatial analysis","score":0.6282176375389099},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.5173877477645874},{"id":"https://openalex.org/keywords/voting","display_name":"Voting","score":0.5135214924812317},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5071752071380615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.468462198972702},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.42012906074523926},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40694624185562134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36252301931381226},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.3439481258392334},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21727913618087769},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2120581567287445},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20304715633392334},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.188953697681427},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1023000180721283}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.9272290468215942},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.7216905355453491},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6497197151184082},{"id":"https://openalex.org/C9770341","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Geospatial analysis","level":2,"score":0.6282176375389099},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.5173877477645874},{"id":"https://openalex.org/C520049643","wikidata":"https://www.wikidata.org/wiki/Q189760","display_name":"Voting","level":3,"score":0.5135214924812317},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5071752071380615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.468462198972702},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.42012906074523926},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40694624185562134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36252301931381226},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.3439481258392334},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21727913618087769},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2120581567287445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20304715633392334},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.188953697681427},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1023000180721283},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1241519","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1241519","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:108472","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/108472/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7799999713897705,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W152787284","https://openalex.org/W1412973526","https://openalex.org/W1830471444","https://openalex.org/W1900583485","https://openalex.org/W1972750585","https://openalex.org/W1979273469","https://openalex.org/W1991113069","https://openalex.org/W2036780368","https://openalex.org/W2071391326","https://openalex.org/W2104339857","https://openalex.org/W2116159413","https://openalex.org/W2124511088","https://openalex.org/W2144044408","https://openalex.org/W2151631165","https://openalex.org/W2346956614","https://openalex.org/W2566828544","https://openalex.org/W2750697328","https://openalex.org/W2761733590","https://openalex.org/W2763699499","https://openalex.org/W2799174785","https://openalex.org/W2947319506","https://openalex.org/W2952558006","https://openalex.org/W2962849396","https://openalex.org/W2963462120","https://openalex.org/W2963731896","https://openalex.org/W3098410656","https://openalex.org/W3098425528","https://openalex.org/W3099391356","https://openalex.org/W3100819631","https://openalex.org/W3104467878","https://openalex.org/W3105163539"],"related_works":["https://openalex.org/W3204835693","https://openalex.org/W4295883750","https://openalex.org/W2921099552","https://openalex.org/W3150292140","https://openalex.org/W1970454523","https://openalex.org/W4386275707","https://openalex.org/W4321471594","https://openalex.org/W2235380072","https://openalex.org/W3214553362","https://openalex.org/W2143193809"],"abstract_inverted_index":{"A":[0],"crucial":[1],"step":[2],"in":[3,20,157],"the":[4,10,60,70],"analysis":[5],"of":[6,12,55,62,72,151],"persistent":[7,31],"homology":[8,32],"is":[9,23],"transformation":[11],"data":[13,87,100],"into":[14],"an":[15],"appropriate":[16],"topological":[17],"object":[18],"(which,":[19],"our":[21,107],"case,":[22],"a":[24,96,148],"simplicial":[25,39,57,82],"complex).":[26],"Software":[27],"packages":[28],"for":[29,80,132,147],"computing":[30],"typically":[33],"construct":[34],"Vietoris--Rips":[35],"or":[36],"other":[37,168],"distance-based":[38,118],"complexes":[40,58,83],"on":[41,69],"point":[42],"clouds":[43],"because":[44],"they":[45,137],"are":[46,115,138],"relatively":[47],"easy":[48],"to":[49,95,140],"compute.":[50],"We":[51,75,91],"investigate":[52],"alternative":[53],"methods":[54,79,94],"constructing":[56,81],"and":[59,102,130],"effects":[61],"making":[63],"associated":[64],"choices":[65],"during":[66],"simplicial-complex":[67],"construction":[68],"output":[71],"persistent-homology":[73],"algorithms.":[74],"present":[76],"two":[77],"new":[78,108,121],"from":[84,161],"two-dimensional":[85],"geospatial":[86,133],"(such":[88],"as":[89],"maps).":[90],"apply":[92],"these":[93],"California":[97],"precinct-level":[98],"voting":[99,155],"set,":[101],"we":[103],"thereby":[104],"demonstrate":[105],"that":[106,114,144],"constructions":[109,122],"can":[110,123],"capture":[111],"geometric":[112],"characteristics":[113],"missed":[116],"by":[117,164],"constructions.":[119],"Our":[120],"thus":[124],"yield":[125],"more":[126],"interpretable":[127],"persistence":[128],"modules":[129],"barcodes":[131],"data.":[134],"In":[135],"particular,":[136],"able":[139],"distinguish":[141],"short-persistence":[142,162],"features":[143],"occur":[145],"only":[146],"narrow":[149],"range":[150],"distance":[152],"scales":[153],"(e.g.,":[154],"patterns":[156],"densely":[158],"populated":[159],"cities)":[160],"noise":[163],"incorporating":[165],"information":[166],"about":[167],"spatial":[169],"relationships":[170],"between":[171],"regions.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
