{"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","doi":"https://doi.org/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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2209.07970","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068391167","display_name":"Bastian Seifert","orcid":"https://orcid.org/0000-0002-2207-8285","observed_orcids":["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, Zürich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2207-8285","affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Zürich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073622492","display_name":"Chris Wendler","orcid":null,"observed_orcids":[]},"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, Zürich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Zürich, 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","observed_orcids":["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, Zürich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-8834-8551","affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Zürich, 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":{"value":2345,"currency":"USD","value_usd":2345},"apc_paid":null,"fwci":6.9922,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.9864555,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.7817000150680542,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.7817000150680542,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.16089999675750732,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.00559999980032444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/directed-acyclic-graphs","display_name":"directed acyclic graphs","score":0.9879999756813049},{"id":"https://openalex.org/keywords/partial-orders","display_name":"partially ordered sets","score":0.7839999794960022},{"id":"https://openalex.org/keywords/edge-weighted-graphs","display_name":"edge-weighted graphs","score":0.8029999732971191},{"id":"https://openalex.org/keywords/eigenvalue-decomposition","display_name":"eigenvalue decomposition","score":0.9779999852180481},{"id":"https://openalex.org/keywords/transitive-closure","display_name":"transitive closure","score":0.8989999890327454},{"id":"https://openalex.org/keywords/mobius-inversion-formula","display_name":"M\u00f6bius inversion","score":0.8730000257492065},{"id":"https://openalex.org/keywords/signal-reconstruction-from-samples","display_name":"signal reconstruction from samples","score":0.8669999837875366},{"id":"https://openalex.org/keywords/dynamic-networks","display_name":"dynamic networks","score":0.9419999718666077},{"id":"https://openalex.org/keywords/contact-tracing","display_name":"contact tracing","score":0.7409999966621399},{"id":"https://openalex.org/keywords/causal-relationship","display_name":"causal relationship","score":0.3840000033378601}],"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":3,"locations":[{"id":"doi:10.1109/tsp.2023.3324988","doi":"https://doi.org/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,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-1","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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:arXiv.org:2209.07970","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2209.07970","pdf_url":"https://arxiv.org/pdf/2209.07970","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2209.07970","doi":"https://doi.org/10.48550/arxiv.2209.07970","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2209.07970","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2209.07970","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2209.07970","pdf_url":"https://arxiv.org/pdf/2209.07970","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388271908.pdf","grobid_xml":"https://content.openalex.org/works/W4388271908.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1600546103","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/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/W2593634394","https://openalex.org/W2795527331","https://openalex.org/W2796431263","https://openalex.org/W2803316390","https://openalex.org/W2889570638","https://openalex.org/W2889900103","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/W2990408532","https://openalex.org/W3000307447","https://openalex.org/W3003599347","https://openalex.org/W3011732519","https://openalex.org/W3021345226","https://openalex.org/W3026118515","https://openalex.org/W3093480948","https://openalex.org/W3095449605","https://openalex.org/W3103634048","https://openalex.org/W3111084985","https://openalex.org/W3121171074","https://openalex.org/W3129194741","https://openalex.org/W3133932964","https://openalex.org/W3161048180","https://openalex.org/W3205967997","https://openalex.org/W4214811799","https://openalex.org/W4307933758","https://openalex.org/W4310279405","https://openalex.org/W4312512934","https://openalex.org/W7133242818","https://openalex.org/W7133256123"],"related_works":["https://openalex.org/W4413886979","https://openalex.org/W7215103340","https://openalex.org/W7155041339","https://openalex.org/W4396763657","https://openalex.org/W4408703457","https://openalex.org/W4392911148","https://openalex.org/W3046548275","https://openalex.org/W4414229269","https://openalex.org/W4409156873","https://openalex.org/W2766086883"],"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":6},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2023-11-03T00:00:00"}