{"id":"https://openalex.org/W3202517504","doi":"https://doi.org/10.1109/icassp43922.2022.9747738","title":"Causal Linear Topological Filters Over A 2-Simplex","display_name":"Causal Linear Topological Filters Over A 2-Simplex","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W3202517504","doi":"https://doi.org/10.1109/icassp43922.2022.9747738","mag":"3202517504"},"language":"en","primary_location":{"id":"doi:10.1109/icassp43922.2022.9747738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9747738","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5079381897","display_name":"Georg Essl","orcid":"https://orcid.org/0000-0003-2905-2616"},"institutions":[{"id":"https://openalex.org/I4210124601","display_name":"Department of Mathematical Sciences","ror":"https://ror.org/02xkdev90","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"Georg Essl","raw_affiliation_strings":["University of Wisconsin - Milwaukee,Department of Mathematical Sciences","Department of Mathematical Sciences, University of Wisconsin - Milwaukee"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin - Milwaukee,Department of Mathematical Sciences","institution_ids":["https://openalex.org/I43579087","https://openalex.org/I4210124601"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Wisconsin - Milwaukee","institution_ids":["https://openalex.org/I43579087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079381897"],"corresponding_institution_ids":["https://openalex.org/I4210124601","https://openalex.org/I43579087"],"apc_list":null,"apc_paid":null,"fwci":0.2597,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.30115512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"187","issue":null,"first_page":"8842","last_page":"8846"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9912999868392944,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9438999891281128,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/simplex","display_name":"Simplex","score":0.6567851305007935},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6042258143424988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5717546939849854},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5609707832336426},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5241622924804688},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.48119670152664185},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.431894451379776},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.42290979623794556},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.353515625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2734724283218384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24654558300971985},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18470701575279236},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.181168794631958}],"concepts":[{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6567851305007935},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6042258143424988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5717546939849854},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5609707832336426},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5241622924804688},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.48119670152664185},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.431894451379776},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.42290979623794556},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.353515625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2734724283218384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24654558300971985},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18470701575279236},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.181168794631958},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp43922.2022.9747738","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9747738","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W622146630","https://openalex.org/W1539409909","https://openalex.org/W1991566301","https://openalex.org/W2073046852","https://openalex.org/W2077353754","https://openalex.org/W2102368730","https://openalex.org/W2125924733","https://openalex.org/W2126991673","https://openalex.org/W2327936544","https://openalex.org/W2413735606","https://openalex.org/W2547359569","https://openalex.org/W2796431263","https://openalex.org/W2883165869","https://openalex.org/W2904607177","https://openalex.org/W2952990364","https://openalex.org/W2953130857","https://openalex.org/W2965585318","https://openalex.org/W2970791029","https://openalex.org/W3014517619","https://openalex.org/W3019910145","https://openalex.org/W3029898802","https://openalex.org/W3033513666","https://openalex.org/W3035258118","https://openalex.org/W3095376064","https://openalex.org/W3098006610","https://openalex.org/W3099736351","https://openalex.org/W3105346780","https://openalex.org/W3120623710","https://openalex.org/W3140579943","https://openalex.org/W3172885111","https://openalex.org/W3201592806","https://openalex.org/W4220879979","https://openalex.org/W4285367356","https://openalex.org/W4287120014","https://openalex.org/W6775721996","https://openalex.org/W6796951143"],"related_works":["https://openalex.org/W2952776759","https://openalex.org/W4239044009","https://openalex.org/W2766471340","https://openalex.org/W2882991514","https://openalex.org/W2621736927","https://openalex.org/W2281640960","https://openalex.org/W2100520964","https://openalex.org/W25968509","https://openalex.org/W4290728588","https://openalex.org/W1455507673"],"abstract_inverted_index":{"Topological":[0],"filters":[1,26],"via":[2],"sheaves":[3],"generalize":[4],"the":[5,13,37,50,67],"classical":[6],"linear":[7],"translation-invariant":[8],"filter":[9,14],"theory":[10],"by":[11,56,75],"attaching":[12],"computation":[15],"locally":[16],"to":[17],"a":[18,32,57],"simplicial":[19],"topological":[20,25],"space.":[21],"This":[22],"paper":[23],"develops":[24],"for":[27,40],"causal":[28],"signal":[29],"flow":[30],"over":[31],"2-simplex.":[33],"Our":[34],"construction":[35,39],"retains":[36],"established":[38],"1-simplices":[41],"and":[42],"we":[43,70],"show":[44],"how":[45,72],"an":[46,62],"apparent":[47],"conflict":[48],"in":[49],"sheaf":[51],"assignment":[52],"can":[53,79],"be":[54,80],"resolved":[55],"concurrent":[58],"extension,":[59],"which":[60],"introduces":[61],"auxiliary":[63],"1-simplex":[64],"that":[65],"computes":[66],"resolution.":[68],"Furthermore,":[69],"discuss":[71],"singularities":[73],"formed":[74],"double":[76],"cone":[77],"connections":[78],"resolved.":[81]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}