{"id":"https://openalex.org/W4295934496","doi":"https://doi.org/10.1109/tsp.2022.3207045","title":"Simplicial Convolutional Filters","display_name":"Simplicial Convolutional Filters","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4295934496","doi":"https://doi.org/10.1109/tsp.2022.3207045"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2022.3207045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3207045","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","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/A5024597794","display_name":"Maosheng Yang","orcid":"https://orcid.org/0000-0002-0583-9628"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Maosheng Yang","raw_affiliation_strings":["Department of Intelligent Systems, Delft University of Technology, Delft, Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-0583-9628","affiliations":[{"raw_affiliation_string":"Department of Intelligent Systems, Delft University of Technology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060836778","display_name":"Elvin Isufi","orcid":"https://orcid.org/0000-0002-1919-260X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Elvin Isufi","raw_affiliation_strings":["Department of Intelligent Systems, Delft University of Technology, Delft, Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-1919-260X","affiliations":[{"raw_affiliation_string":"Department of Intelligent Systems, Delft University of Technology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008584000","display_name":"Michael T. Schaub","orcid":"https://orcid.org/0000-0003-2426-6404"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael T. Schaub","raw_affiliation_strings":["Department of Computer Science, RWTH Aachen University, Aachen, Germany","Dept. of Computer Science, RWTH Aachen University, Aachen, Nordrhein, Germany"],"raw_orcid":"https://orcid.org/0000-0003-2426-6404","affiliations":[{"raw_affiliation_string":"Department of Computer Science, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]},{"raw_affiliation_string":"Dept. of Computer Science, RWTH Aachen University, Aachen, Nordrhein, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089101522","display_name":"Geert Leus","orcid":"https://orcid.org/0000-0001-8288-867X"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Geert Leus","raw_affiliation_strings":["Department of Microelectronics, Delft University of Technology, Delft, Netherlands","Dept. of Microelectronics, Delft University of Technology, Delft, Zuid-Holland, Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-8288-867X","affiliations":[{"raw_affiliation_string":"Department of Microelectronics, Delft University of Technology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Dept. of Microelectronics, Delft University of Technology, Delft, Zuid-Holland, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8853,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.9584292,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"70","issue":null,"first_page":"4633","last_page":"4648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9882000088691711,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9721999764442444,"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/mathematics","display_name":"Mathematics","score":0.7059653997421265},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.49571287631988525},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44543319940567017},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.41669395565986633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33845585584640503},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3093058168888092},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21886759996414185}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7059653997421265},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.49571287631988525},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44543319940567017},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.41669395565986633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33845585584640503},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3093058168888092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21886759996414185},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2022.3207045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2022.3207045","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:tudelft.nl:uuid:46adc952-ab70-4f66-809e-497b69b7eaa1","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:46adc952-ab70-4f66-809e-497b69b7eaa1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321012","display_name":"Technische Universiteit Delft","ror":"https://ror.org/02e2c7k09"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W622146630","https://openalex.org/W1496383623","https://openalex.org/W1675187506","https://openalex.org/W1698699930","https://openalex.org/W1798731418","https://openalex.org/W1954168145","https://openalex.org/W1977937121","https://openalex.org/W1991252559","https://openalex.org/W2016982898","https://openalex.org/W2101491865","https://openalex.org/W2122858720","https://openalex.org/W2125048869","https://openalex.org/W2130406232","https://openalex.org/W2157552453","https://openalex.org/W2158787690","https://openalex.org/W2527487499","https://openalex.org/W2748936567","https://openalex.org/W2793980368","https://openalex.org/W2796431263","https://openalex.org/W2883165869","https://openalex.org/W2886742146","https://openalex.org/W2944892819","https://openalex.org/W2963738599","https://openalex.org/W2965585318","https://openalex.org/W3012969853","https://openalex.org/W3047076447","https://openalex.org/W3099736351","https://openalex.org/W3103578494","https://openalex.org/W3120623710","https://openalex.org/W3158396846","https://openalex.org/W3201279206","https://openalex.org/W3202514878","https://openalex.org/W3203555979","https://openalex.org/W3205967997","https://openalex.org/W4206132394","https://openalex.org/W4214811799","https://openalex.org/W4226049944","https://openalex.org/W4229706427","https://openalex.org/W4236077070","https://openalex.org/W4246047487","https://openalex.org/W4254246953","https://openalex.org/W4286793199","https://openalex.org/W6783946475","https://openalex.org/W6787113457","https://openalex.org/W6790843002","https://openalex.org/W6791458620","https://openalex.org/W6798426842"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W3157463780","https://openalex.org/W2052122378","https://openalex.org/W4206371202"],"abstract_inverted_index":{"We":[0,132],"study":[1,54,110,164],"linear":[2,65],"filters":[3,40,59,76,116,171,182],"for":[4,26,167],"processing":[5],"signals":[6],"supported":[7],"on":[8,107],"abstract":[9],"topological":[10],"spaces":[11],"modeled":[12],"as":[13,20,42,68,70,90],"simplicial":[14,38,97,169,181,193],"complexes,":[15],"which":[16],"may":[17],"be":[18,79,155],"interpreted":[19],"generalizations":[21],"of":[22,45,57,114,148,191],"graphs":[23],"that":[24,62],"account":[25],"nodes,":[27],"edges,":[28],"triangular":[29],"faces,":[30],"etc.":[31],"To":[32],"process":[33],"such":[34],"signals,":[35],"we":[36,53,109,120,163,178],"develop":[37],"convolutional":[39,170],"defined":[41],"matrix":[43],"polynomials":[44],"the":[46,55,111,123,139,142,146,149],"lower":[47,102],"and":[48,60,66,72,101,117,129,141,145,153,172,199,204],"upper":[49,100],"Hodge":[50,150],"Laplacians.":[51],"First,":[52],"properties":[56],"these":[58,115,135],"show":[61],"they":[63,91],"are":[64],"shift-invariant,":[67],"well":[69],"permutation":[71],"orientation":[73],"equivariant.":[74],"These":[75],"can":[77,121,154],"also":[78],"implemented":[80],"in":[81,183],"a":[82,86,192],"distributed":[83],"fashion":[84],"with":[85],"low":[87],"computational":[88],"complexity,":[89],"involve":[92],"only":[93],"(multiple":[94],"rounds":[95],"of)":[96],"shifting":[98],"between":[99],"adjacent":[103],"simplices.":[104],"Second,":[105],"focusing":[106],"edge-flows,":[108],"frequency":[112,189],"responses":[113],"examine":[118],"how":[119,134],"use":[122],"Hodge-decomposition":[124],"to":[125,138,186,195,200],"delineate":[126],"gradient,":[127],"curl":[128],"harmonic":[130],"frequencies.":[131],"discuss":[133,173],"frequencies":[136],"correspond":[137],"lower-":[140],"upper-adjacent":[143],"couplings":[144],"kernel":[147],"Laplacian,":[151],"respectively,":[152],"tuned":[156],"independently":[157],"by":[158],"our":[159,180],"filter":[160],"designs.":[161],"Third,":[162],"different":[165,188],"procedures":[166],"designing":[168],"their":[174],"relative":[175],"advantages.":[176],"Finally,":[177],"corroborate":[179],"several":[184],"applications:":[185],"extract":[187],"components":[190],"signal,":[194],"denoise":[196],"edge":[197],"flows,":[198],"analyze":[201],"financial":[202],"markets":[203],"traffic":[205],"networks.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}