{"id":"https://openalex.org/W4388271908","doi":"https://doi.org/10.1109/tsp.2023.3324988","title":"Causal Fourier Analysis on Directed Acyclic Graphs and Posets","display_name":"Causal Fourier Analysis on Directed Acyclic Graphs and Posets","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4388271908","doi":"https://doi.org/10.1109/tsp.2023.3324988"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2023.3324988","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3324988","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/A5068391167","display_name":"Bastian Seifert","orcid":"https://orcid.org/0000-0002-2207-8285"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bastian Seifert","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2207-8285","affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073622492","display_name":"Chris Wendler","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Chris Wendler","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076407181","display_name":"Markus P\u00fcschel","orcid":"https://orcid.org/0000-0001-8834-8551"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Markus P\u00fcschel","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-8834-8551","affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Z&#x00FC;rich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":4.593,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.95746522,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"71","issue":null,"first_page":"3805","last_page":"3820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9986000061035156,"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":0.9986000061035156,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.738471508026123},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5419178605079651},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5345944762229919},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5018279552459717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.463013619184494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4533098340034485},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4518083333969116},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.45068684220314026},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.4348728060722351},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1403031051158905}],"concepts":[{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.738471508026123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5419178605079651},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5345944762229919},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5018279552459717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.463013619184494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4533098340034485},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4518083333969116},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.45068684220314026},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4348728060722351},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1403031051158905},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2023.3324988","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2023.3324988","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W1991252559","https://openalex.org/W1998849268","https://openalex.org/W2004915807","https://openalex.org/W2007572995","https://openalex.org/W2014485895","https://openalex.org/W2039829163","https://openalex.org/W2040661328","https://openalex.org/W2090359754","https://openalex.org/W2091489896","https://openalex.org/W2095690451","https://openalex.org/W2098410044","https://openalex.org/W2101491865","https://openalex.org/W2107182617","https://openalex.org/W2109605413","https://openalex.org/W2118193919","https://openalex.org/W2123763652","https://openalex.org/W2135046866","https://openalex.org/W2151226328","https://openalex.org/W2155653793","https://openalex.org/W2158698691","https://openalex.org/W2259160646","https://openalex.org/W2327974553","https://openalex.org/W2403741880","https://openalex.org/W2475546265","https://openalex.org/W2795527331","https://openalex.org/W2796431263","https://openalex.org/W2803316390","https://openalex.org/W2889570638","https://openalex.org/W2891283998","https://openalex.org/W2902522629","https://openalex.org/W2918466505","https://openalex.org/W2940000313","https://openalex.org/W2963414755","https://openalex.org/W2965585318","https://openalex.org/W3000307447","https://openalex.org/W3003599347","https://openalex.org/W3021345226","https://openalex.org/W3026118515","https://openalex.org/W3036069262","https://openalex.org/W3095449605","https://openalex.org/W3105663757","https://openalex.org/W3111084985","https://openalex.org/W3129194741","https://openalex.org/W3133932964","https://openalex.org/W3161048180","https://openalex.org/W3195962189","https://openalex.org/W3205967997","https://openalex.org/W4214811799","https://openalex.org/W4220671231","https://openalex.org/W4288079704","https://openalex.org/W4296412047","https://openalex.org/W4307933758","https://openalex.org/W4310279405","https://openalex.org/W4312512934","https://openalex.org/W4323365407","https://openalex.org/W4378501091","https://openalex.org/W6676197543","https://openalex.org/W6676202483","https://openalex.org/W6682361391","https://openalex.org/W6734107043","https://openalex.org/W6754506371","https://openalex.org/W6780392805","https://openalex.org/W6784519738","https://openalex.org/W6842507390","https://openalex.org/W6846445856","https://openalex.org/W6847649495","https://openalex.org/W6852884810"],"related_works":["https://openalex.org/W2146569528","https://openalex.org/W1998712144","https://openalex.org/W4214487273","https://openalex.org/W4287028074","https://openalex.org/W2106828717","https://openalex.org/W3191289342","https://openalex.org/W3164774158","https://openalex.org/W2372211403","https://openalex.org/W4297817344","https://openalex.org/W1498463151"],"abstract_inverted_index":{"We":[0,163],"present":[1],"a":[2,34,71,133,172],"novel":[3],"form":[4],"of":[5,33,37,79,87,101,108,127,140,167],"Fourier":[6,28,63,81],"analysis,":[7],"and":[8,39,57,120,122,180],"associated":[9],"signal":[10,184],"processing":[11],"concepts,":[12],"for":[13,91],"signals":[14,141],"(or":[15],"data)":[16],"indexed":[17],"by":[18],"edge-weighted":[19],"directed":[20],"acyclic":[21],"graphs":[22],"(DAGs).":[23],"This":[24],"means":[25],"that":[26,42,74],"our":[27,61],"basis":[29],"yields":[30],"an":[31,168],"eigendecomposition":[32],"suitable":[35],"notion":[36],"shift":[38],"convolution":[40],"operators":[41],"we":[43,75,136,151],"define.":[44,76],"DAGs":[45,119,153],"are":[46,95],"the":[47,80,84,88,99,102,124,138,165,182],"common":[48],"model":[49,164],"to":[50,118],"capture":[51],"causal":[52],"relationships":[53],"between":[54],"data":[55,66,179],"values":[56],"in":[58,157],"this":[59],"case":[60],"proposed":[62],"analysis":[64],"relates":[65],"with":[67],"its":[68],"causes":[69],"under":[70],"linearity":[72],"assumption":[73],"The":[77],"definition":[78],"transform":[82],"requires":[83],"transitive":[85],"closure":[86],"weighted":[89],"DAG":[90,173],"which":[92,158],"several":[93],"forms":[94],"possible":[96],"depending":[97],"on":[98,170],"interpretation":[100],"edge":[103],"weights.":[104],"Examples":[105],"include":[106],"level":[107],"influence,":[109],"distance,":[110],"or":[111],"pollution":[112],"distribution.":[113],"Our":[114],"framework":[115],"is":[116],"specific":[117],"leverages,":[121],"extends,":[123],"classical":[125],"theory":[126],"Moebius":[128],"inversion":[129],"from":[130,142,175,185],"combinatorics.":[131],"For":[132],"prototypical":[134],"application":[135],"consider":[137,152],"reconstruction":[139],"samples":[143],"assuming":[144],"Fourier-sparsity,":[145],"i.e.,":[146],"few":[147],"causes.":[148],"In":[149],"particular,":[150],"modeling":[154],"dynamic":[155],"networks":[156],"edges":[159],"change":[160],"over":[161],"time.":[162],"spread":[166],"infection":[169,183],"such":[171],"obtained":[174],"real-world":[176],"contact":[177],"tracing":[178],"learn":[181],"samples.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
