{"id":"https://openalex.org/W4214811799","doi":"https://doi.org/10.1109/ieeeconf53345.2021.9723256","title":"Topological Signal Processing over Cell Complexes","display_name":"Topological Signal Processing over Cell Complexes","publication_year":2021,"publication_date":"2021-10-31","ids":{"openalex":"https://openalex.org/W4214811799","doi":"https://doi.org/10.1109/ieeeconf53345.2021.9723256"},"language":"en","primary_location":{"id":"doi:10.1109/ieeeconf53345.2021.9723256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ieeeconf53345.2021.9723256","pdf_url":null,"source":{"id":"https://openalex.org/S4363607877","display_name":"2021 55th Asilomar Conference on Signals, Systems, and Computers","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":"2021 55th Asilomar Conference on Signals, Systems, and Computers","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/A5043691564","display_name":"Stefania Sardellitti","orcid":"https://orcid.org/0000-0002-4749-2933"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefania Sardellitti","raw_affiliation_strings":["Sapienza University of Rome,DIET Dept","DIET Dept., Sapienza University of Rome"],"affiliations":[{"raw_affiliation_string":"Sapienza University of Rome,DIET Dept","institution_ids":[]},{"raw_affiliation_string":"DIET Dept., Sapienza University of Rome","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084159640","display_name":"Sergio Barbarossa","orcid":"https://orcid.org/0000-0001-9846-8741"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sergio Barbarossa","raw_affiliation_strings":["Sapienza University of Rome,DIET Dept","DIET Dept., Sapienza University of Rome"],"affiliations":[{"raw_affiliation_string":"Sapienza University of Rome,DIET Dept","institution_ids":[]},{"raw_affiliation_string":"DIET Dept., Sapienza University of Rome","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030259151","display_name":"Lucia Testa","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lucia Testa","raw_affiliation_strings":["Sapienza University of Rome,DIET Dept","DIET Dept., Sapienza University of Rome"],"affiliations":[{"raw_affiliation_string":"Sapienza University of Rome,DIET Dept","institution_ids":[]},{"raw_affiliation_string":"DIET Dept., Sapienza University of Rome","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043691564"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":null,"apc_paid":null,"fwci":6.0323,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.97580645,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1558","last_page":"1562"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"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":0.9970999956130981,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.970300018787384,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/topology","display_name":"Topology (electrical circuits)","score":0.6220991015434265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5000762939453125},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4460664987564087},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4155201315879822},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4108751714229584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3561609983444214},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2792014479637146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1591126024723053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1523330807685852},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.10764577984809875}],"concepts":[{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6220991015434265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5000762939453125},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4460664987564087},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4155201315879822},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4108751714229584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3561609983444214},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2792014479637146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1591126024723053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1523330807685852},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.10764577984809875},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ieeeconf53345.2021.9723256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ieeeconf53345.2021.9723256","pdf_url":null,"source":{"id":"https://openalex.org/S4363607877","display_name":"2021 55th Asilomar Conference on Signals, Systems, and Computers","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":"2021 55th Asilomar Conference on Signals, Systems, and Computers","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W9238972","https://openalex.org/W310261224","https://openalex.org/W981311530","https://openalex.org/W1496383623","https://openalex.org/W1698699930","https://openalex.org/W2080549870","https://openalex.org/W2215668387","https://openalex.org/W2616297073","https://openalex.org/W2768605435","https://openalex.org/W2796431263","https://openalex.org/W2924173387","https://openalex.org/W2965585318","https://openalex.org/W3091069831","https://openalex.org/W3095376064","https://openalex.org/W3099181854","https://openalex.org/W3120623710","https://openalex.org/W3205967997","https://openalex.org/W4206132394","https://openalex.org/W4286793199","https://openalex.org/W6600370125","https://openalex.org/W6610925051","https://openalex.org/W6625670647","https://openalex.org/W6784369522","https://openalex.org/W6798426842","https://openalex.org/W6802472415"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0,57],"Topological":[1],"Signal":[2],"Processing":[3],"(TSP)":[4],"framework":[5],"has":[6],"been":[7],"recently":[8],"developed":[9],"to":[10,52,63,66,87,103,119,145,161,168],"analyze":[11],"signals":[12,70,158],"defined":[13,71],"over":[14,72],"simplicial":[15,50,80],"complexes,":[16,74,81],"i.e.":[17],"topological":[18,96],"spaces":[19],"represented":[20],"by":[21,128],"finite":[22,148],"sets":[23],"of":[24,31,49,55,59,69,79,98,106,111,123],"elements":[25],"that":[26,45],"are":[27,84],"closed":[28],"under":[29],"inclusion":[30,37,90],"subsets":[32],"[1].":[33],"However,":[34],"the":[35,47,67,89,94,121,163,169],"same":[36],"property":[38],"represents":[39],"sometimes":[40],"a":[41,77],"too":[42],"rigid":[43],"assumption":[44],"prevents":[46],"application":[48],"complexes":[51,100,125],"many":[53],"cases":[54],"interest.":[56],"goal":[58],"this":[60],"paper":[61],"is":[62],"extend":[64],"TSP":[65],"analysis":[68],"cell":[73,99,124],"which":[75],"represent":[76],"generalization":[78],"as":[82,109],"they":[83],"not":[85],"restricted":[86],"satisfy":[88],"property.":[91],"In":[92],"particular,":[93],"richer":[95],"structure":[97],"enables":[101,133],"them":[102],"reveal":[104],"cycles":[105],"any":[107],"order,":[108],"representative":[110],"data":[112,127],"features.":[113],"We":[114],"propose":[115],"an":[116],"efficient":[117],"method":[118],"infer":[120],"topology":[122],"from":[126],"showing":[129],"how":[130,144],"their":[131],"use":[132],"sparser":[134],"edge":[135],"signal":[136],"representations":[137],"than":[138],"simplicial-based":[139],"methods.":[140],"Furthermore,":[141],"we":[142],"show":[143],"design":[146],"optimal":[147],"impulse":[149],"response":[150],"(FIR)":[151],"filters":[152],"operating":[153],"on":[154],"solenoidal":[155],"and":[156],"irrotational":[157],"in":[159],"order":[160],"minimize":[162],"approximation":[164],"error":[165],"with":[166],"respect":[167],"desired":[170],"spectral":[171],"masks.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}