{"id":"https://openalex.org/W4391052179","doi":"https://doi.org/10.1007/s41468-023-00156-3","title":"Move schedules: fast persistence computations in coarse dynamic settings","display_name":"Move schedules: fast persistence computations in coarse dynamic settings","publication_year":2024,"publication_date":"2024-01-20","ids":{"openalex":"https://openalex.org/W4391052179","doi":"https://doi.org/10.1007/s41468-023-00156-3"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-023-00156-3","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00156-3.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00156-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083411746","display_name":"Matthew Piekenbrock","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Matthew Piekenbrock","raw_affiliation_strings":["Khoury College of Computer Sciences, Northeastern University, Boston, MA, 02115, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Khoury College of Computer Sciences, Northeastern University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017700107","display_name":"Jos\u00e9 A. Perea","orcid":"https://orcid.org/0000-0002-6440-5096"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jose A. Perea","raw_affiliation_strings":["Department of Mathematics, Northeastern University, Boston, MA, 02115, USA","Khoury College of Computer Sciences, Northeastern University, Boston, MA, 02115, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Northeastern University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Khoury College of Computer Sciences, Northeastern University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083411746"],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01315789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","first_page":"301","last_page":"345"},"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9556999802589417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5974308252334595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5074629187583923}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5974308252334595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5074629187583923}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s41468-023-00156-3","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00156-3.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s41468-023-00156-3","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00156-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00156-3.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4462765421","display_name":null,"funder_award_id":"DMS-1943758","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5037245234","display_name":null,"funder_award_id":"CCF-2006661","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6347962552","display_name":"AF: Small: Bundle-theoretic methods for local-to-global inference","funder_award_id":"2006661","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6423486877","display_name":"CAREER: Machine learning, Mapping Spaces, and Obstruction Theoretic Methods in Topological Data Analysis","funder_award_id":"1943758","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391052179.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W10539125","https://openalex.org/W1600537614","https://openalex.org/W1691157804","https://openalex.org/W1964652076","https://openalex.org/W1979106445","https://openalex.org/W1986644591","https://openalex.org/W1998676013","https://openalex.org/W2006656002","https://openalex.org/W2009940349","https://openalex.org/W2024905920","https://openalex.org/W2029352747","https://openalex.org/W2037613900","https://openalex.org/W2068930740","https://openalex.org/W2101933716","https://openalex.org/W2102692026","https://openalex.org/W2104339857","https://openalex.org/W2109227373","https://openalex.org/W2115445832","https://openalex.org/W2120023453","https://openalex.org/W2129716068","https://openalex.org/W2144044408","https://openalex.org/W2207058206","https://openalex.org/W2207449046","https://openalex.org/W2216891925","https://openalex.org/W2333586270","https://openalex.org/W2492700298","https://openalex.org/W2920851774","https://openalex.org/W3008152492","https://openalex.org/W3094622830","https://openalex.org/W3098455240","https://openalex.org/W4238306205","https://openalex.org/W4238411931","https://openalex.org/W4251980118","https://openalex.org/W6601939488"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Abstract":[0],"Matrix":[1],"reduction":[2,119],"is":[3,22,96,189,214],"the":[4,9,27,33,54,78,110,130,156,182,202,217,220,227],"standard":[5],"procedure":[6,91],"for":[7,59,100,108],"computing":[8],"persistent":[10],"homology":[11],"of":[12,26,56,116,133,159,212,224],"a":[13,23,71,105,113,121,163,210],"filtered":[14,61],"simplicial":[15],"complex":[16],"with":[17,48],"m":[18,151,170,193],"simplices.":[19],"Its":[20],"output":[21],"particular":[24,122],"decomposition":[25,73,111,134],"total":[28],"boundary":[29],"matrix,":[30],"from":[31],"which":[32],"persistence":[34,64,241],"diagrams":[35,42,208],"and":[36,95,148,154,226,239],"generating":[37],"cycles":[38],"are":[39,43,83,242],"derived.":[40],"Persistence":[41],"known":[44],"to":[45,50,69,120,185,206,216,232],"vary":[46],"continuously":[47],"respect":[49],"their":[51,57],"input,":[52],"motivating":[53],"study":[55],"computation":[58],"time-varying":[60],"complexes.":[62],"Computing":[63],"dynamically":[65],"can":[66,137],"be":[67,138,166],"reduced":[68],"maintaining":[70,109],"valid":[72],"under":[74],"adjacent":[75],"transpositions":[76],"in":[77,140,168,180,192,204],"filtration":[79],"order.":[80],"Since":[81],"there":[82],"$$O(m^2)$$":[84],"<mml:math":[85,145,173],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>m</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math>":[86],"such":[87],"transpositions,":[88],"this":[89,187,196],"maintenance":[90],"exhibits":[92],"limited":[93],"scalability":[94],"often":[97],"too":[98],"fine":[99],"many":[101],"applications.":[102],"We":[103,176],"propose":[104],"coarser":[106],"strategy":[107,188],"over":[112],"1-parameter":[114],"family":[115,211],"filtrations.":[117],"By":[118],"longest":[123],"common":[124],"subsequence":[125],"problem,":[126],"we":[127,161,198],"show":[128,178,199],"that":[129,155,201],"minimal":[131],"number":[132,223],"updates":[135],"d":[136],"found":[139],"$$O(m":[141],"\\log":[142,143,171],"m)$$":[144,172],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>log</mml:mo><mml:mo>log</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[146],"time":[147],"O":[149],"(":[150],")":[152],"space,":[153],"corresponding":[157],"sequence":[158],"permutations\u2014which":[160],"call":[162],"schedule":[164],"\u2014can":[165],"constructed":[167],"$$O(d":[169],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mi>m</mml:mi><mml:mo>log</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[174],"time.":[175],"also":[177,243],"that,":[179],"expectation,":[181],"storage":[183],"needed":[184],"employ":[186],"actually":[190],"sublinear":[191,229],".":[194],"Exploiting":[195],"connection,":[197],"experimentally":[200],"decrease":[203],"operations":[205],"compute":[207],"across":[209],"filtrations":[213],"proportional":[215],"difference":[218],"between":[219],"expected":[221],"quadratic":[222],"states":[225],"proposed":[228],"coarsening.":[230],"Applications":[231],"video":[233],"data,":[234,238],"dynamic":[235],"metric":[236],"space":[237],"multiparameter":[240],"presented.":[244]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
