{"id":"https://openalex.org/W4372259863","doi":"https://doi.org/10.1109/icassp49357.2023.10095435","title":"M\u00f6bius Total Variation for Directed Acyclic Graphs","display_name":"M\u00f6bius Total Variation for Directed Acyclic Graphs","publication_year":2023,"publication_date":"2023-05-05","ids":{"openalex":"https://openalex.org/W4372259863","doi":"https://doi.org/10.1109/icassp49357.2023.10095435"},"language":"en","primary_location":{"id":"doi:10.1109/icassp49357.2023.10095435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10095435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 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/A5013450308","display_name":"Vedran Mihal","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":"Vedran Mihal","raw_affiliation_strings":["ETH Zurich,Department of Computer Science,Switzerland","Department of Computer Science, ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich,Department of Computer Science,Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, 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":["ETH Zurich,Department of Computer Science,Switzerland","Department of Computer Science, ETH Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich,Department of Computer Science,Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, 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":1.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77709031,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"61","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9932000041007996,"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"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9932000041007996,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.992900013923645,"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/T11021","display_name":"ECG Monitoring and Analysis","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/directed-acyclic-graph","display_name":"Directed acyclic graph","score":0.9038788080215454},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6612192988395691},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.5927805304527283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5464649200439453},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.46128764748573303},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.436710000038147},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3725767731666565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.369864821434021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3635612726211548}],"concepts":[{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.9038788080215454},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6612192988395691},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.5927805304527283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5464649200439453},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.46128764748573303},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.436710000038147},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3725767731666565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.369864821434021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3635612726211548},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp49357.2023.10095435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp49357.2023.10095435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W118540534","https://openalex.org/W1511986666","https://openalex.org/W1547624382","https://openalex.org/W1698699930","https://openalex.org/W1977751843","https://openalex.org/W1983058494","https://openalex.org/W1991252559","https://openalex.org/W2016926874","https://openalex.org/W2036363967","https://openalex.org/W2040661328","https://openalex.org/W2100051312","https://openalex.org/W2101491865","https://openalex.org/W2103559027","https://openalex.org/W2115755118","https://openalex.org/W2118193919","https://openalex.org/W2140408177","https://openalex.org/W2145568341","https://openalex.org/W2195972617","https://openalex.org/W2259160646","https://openalex.org/W2573721906","https://openalex.org/W2795527331","https://openalex.org/W2796431263","https://openalex.org/W2963482031","https://openalex.org/W2984694370","https://openalex.org/W3000307447","https://openalex.org/W3021345226","https://openalex.org/W3026118515","https://openalex.org/W3095449605","https://openalex.org/W4220671231","https://openalex.org/W4388271908","https://openalex.org/W6648166646","https://openalex.org/W6680914561","https://openalex.org/W6776673096","https://openalex.org/W6842878445","https://openalex.org/W6912953744"],"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":[0,50],"propose":[1],"a":[2,18,31,66],"novel":[3],"definition":[4,23],"of":[5,20,45,54,68],"total":[6],"variation":[7],"(TV)":[8],"specifically":[9],"defined":[10],"for":[11,24,64],"directed":[12],"acyclic":[13],"graphs":[14],"(DAGs).":[15],"It":[16],"is":[17,30],"generalization":[19],"the":[21,43,52],"classical":[22],"discrete-time":[25,29],"signals":[26],"(noting":[27],"that":[28],"DAG)":[32],"and":[33],"obtained":[34],"by":[35],"inverting":[36],"an":[37],"integration":[38],"operator":[39],"on":[40],"DAGs,":[41],"leveraging":[42],"theory":[44],"M\u00f6bius":[46,56],"inversion":[47],"from":[48],"combinatorics.":[49],"demonstrate":[51],"performance":[53],"our":[55],"TV":[57,60],"against":[58],"prior":[59],"definitions":[61],"when":[62],"used":[63],"denoising":[65],"set":[67],"real-world":[69],"DAG":[70],"signals.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
