{"id":"https://openalex.org/W1999169872","doi":"https://doi.org/10.1145/2755573.2755587","title":"Parallel Computation of Persistent Homology using the Blowup Complex","display_name":"Parallel Computation of Persistent Homology using the Blowup Complex","publication_year":2015,"publication_date":"2015-06-12","ids":{"openalex":"https://openalex.org/W1999169872","doi":"https://doi.org/10.1145/2755573.2755587","mag":"1999169872"},"language":"en","primary_location":{"id":"doi:10.1145/2755573.2755587","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2755573.2755587","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2755573.2755587","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 27th ACM symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/2755573.2755587","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022993853","display_name":"Ryan H. Lewis","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ryan Lewis","raw_affiliation_strings":["Stanford University, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060468015","display_name":"Dmitriy Morozov","orcid":"https://orcid.org/0000-0002-4330-6670"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dmitriy Morozov","raw_affiliation_strings":["Lawrence Berkeley National Laboratory, Berkeley, CA, USA","Lawrence Berkeley National Laboratory, Berkeley, CA USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lawrence Berkeley National Laboratory, Berkeley, CA, USA","institution_ids":["https://openalex.org/I148283060"]},{"raw_affiliation_string":"Lawrence Berkeley National Laboratory, Berkeley, CA USA#TAB#","institution_ids":["https://openalex.org/I148283060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022993853"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.1803,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87951126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"323","last_page":"331"},"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":0.992900013923645,"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":0.9391000270843506,"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/persistent-homology","display_name":"Persistent homology","score":0.731421947479248},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7268779277801514},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.5981210470199585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5766798257827759},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5385348200798035},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5274037718772888},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.518129289150238},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.4690452218055725},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4382636845111847},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4351114332675934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4265100657939911},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42282649874687195},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3900655508041382},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3618204891681671},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2374836802482605},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19083809852600098}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.731421947479248},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7268779277801514},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.5981210470199585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5766798257827759},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5385348200798035},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5274037718772888},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.518129289150238},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.4690452218055725},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4382636845111847},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4351114332675934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4265100657939911},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42282649874687195},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3900655508041382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3618204891681671},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2374836802482605},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19083809852600098},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1145/2755573.2755587","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2755573.2755587","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2755573.2755587","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 27th ACM symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.970.1860","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.970.1860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mrzv.org/publications/persistence-blowup-complex/spaa/","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt66s1155s","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/66s1155s","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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"},{"id":"pmh:oai:osti.gov:1235080","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1235080","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:qt66s1155s","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/66s1155s","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lewis, Ryan; & Morozov, Dmitriy. (2017). Parallel Computation of Persistent Homology using the Blowup Complex:. ACM Symposium on Parallelism in Algorithms and Architectures. Lawrence Berkeley National Laboratory: Lawrence Berkeley National Laboratory. Retrieved from: http://www.escholarship.org/uc/item/66s1155s","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/2755573.2755587","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2755573.2755587","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/2755573.2755587","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 27th ACM symposium on Parallelism in Algorithms and Architectures","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1286236842","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1677143136","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G1799333409","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G2880384052","display_name":null,"funder_award_id":"Contract DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G3083819904","display_name":null,"funder_award_id":"05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4501827968","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4565140552","display_name":null,"funder_award_id":"-AC02-05CH11231","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G5076365615","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320317220","funder_display_name":"National Energy Research Scientific Computing Center"},{"id":"https://openalex.org/G5306717517","display_name":null,"funder_award_id":"Contract DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6348972864","display_name":null,"funder_award_id":"AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7368046788","display_name":null,"funder_award_id":"DE-AC02-05CH11231","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320317220","display_name":"National Energy Research Scientific Computing Center","ror":"https://ror.org/05v3mvq14"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1999169872.pdf","grobid_xml":"https://content.openalex.org/works/W1999169872.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W110808791","https://openalex.org/W1481632020","https://openalex.org/W1897860788","https://openalex.org/W1991566301","https://openalex.org/W1993239100","https://openalex.org/W2009940349","https://openalex.org/W2030347560","https://openalex.org/W2043445128","https://openalex.org/W2069322413","https://openalex.org/W2071391326","https://openalex.org/W2096736341","https://openalex.org/W2102692026","https://openalex.org/W2104339857","https://openalex.org/W2111169612","https://openalex.org/W2124338751","https://openalex.org/W2144044408","https://openalex.org/W2154477220","https://openalex.org/W2158407067","https://openalex.org/W2187925611","https://openalex.org/W2207449046","https://openalex.org/W2269879476","https://openalex.org/W2295009003","https://openalex.org/W2593124839","https://openalex.org/W2743791103","https://openalex.org/W2785661498","https://openalex.org/W2912929541","https://openalex.org/W2963192955","https://openalex.org/W3013843370","https://openalex.org/W3040586665","https://openalex.org/W3102296041","https://openalex.org/W3140579943","https://openalex.org/W4233690291","https://openalex.org/W4233964287","https://openalex.org/W4247080677","https://openalex.org/W6604455673"],"related_works":["https://openalex.org/W2886923060","https://openalex.org/W2887690685","https://openalex.org/W2129730857","https://openalex.org/W4287394697","https://openalex.org/W3119689987","https://openalex.org/W3120766012","https://openalex.org/W4287826795","https://openalex.org/W3128725485","https://openalex.org/W3204835693","https://openalex.org/W4206186921"],"abstract_inverted_index":{"We":[0,40,63,87],"describe":[1,80],"a":[2,13,24,33,43,57,90],"parallel":[3],"algorithm":[4,18,67],"that":[5,94],"computes":[6],"persistent":[7],"homology,":[8],"an":[9,65],"algebraic":[10],"descriptor":[11],"of":[12,27,76,92,103],"filtered":[14],"topological":[15,54],"space.":[16],"Our":[17],"is":[19],"distinguished":[20],"by":[21],"operating":[22],"on":[23,42,89],"spatial":[25],"decomposition":[26,34],"the":[28,38,47,84,97,101],"domain,":[29],"as":[30],"opposed":[31],"to":[32,37,51,68,82],"with":[35],"respect":[36],"filtration.":[39],"rely":[41],"classical":[44],"construction,":[45],"called":[46],"Mayer--Vietoris":[48],"blowup":[49],"complex,":[50],"glue":[52],"global":[53],"information":[55],"about":[56],"space":[58],"from":[59],"its":[60],"disjoint":[61],"subsets.":[62],"introduce":[64],"efficient":[66],"perform":[69],"this":[70],"gluing":[71],"operation,":[72],"which":[73],"may":[74],"be":[75],"independent":[77],"interest,":[78],"and":[79,99],"how":[81],"process":[83],"domain":[85],"hierarchically.":[86],"report":[88],"set":[91],"experiments":[93],"help":[95],"assess":[96],"strengths":[98],"identify":[100],"limitations":[102],"our":[104],"method.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-02T08:42:23.175194","created_date":"2025-10-10T00:00:00"}