{"id":"https://openalex.org/W3115151267","doi":"https://doi.org/10.1109/icassp43922.2022.9746423","title":"Differentiable Programming A La Moreau","display_name":"Differentiable Programming A La Moreau","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W3115151267","doi":"https://doi.org/10.1109/icassp43922.2022.9746423","mag":"3115151267"},"language":"en","primary_location":{"id":"doi:10.1109/icassp43922.2022.9746423","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9746423","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5046132757","display_name":"Vincent Roulet","orcid":"https://orcid.org/0000-0001-6526-5235"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincent Roulet","raw_affiliation_strings":["University of Washington,Department of Statistics,Seattle,USA","Department of Statistics, University of Washington, Seattle, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Statistics,Seattle,USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]},{"raw_affiliation_string":"Department of Statistics, University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010613767","display_name":"Za\u00efd Harchaoui","orcid":"https://orcid.org/0000-0003-1186-1343"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]},{"id":"https://openalex.org/I58610484","display_name":"Seattle University","ror":"https://ror.org/02jqc0m91","country_code":"US","type":"education","lineage":["https://openalex.org/I58610484"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zaid Harchaoui","raw_affiliation_strings":["University of Washington,Department of Statistics,Seattle,USA","Department of Statistics, University of Washington, Seattle, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Statistics,Seattle,USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]},{"raw_affiliation_string":"Department of Statistics, University of Washington, Seattle, USA","institution_ids":["https://openalex.org/I201448701","https://openalex.org/I58610484"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":null,"first_page":"3498","last_page":"3502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.992900013923645,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.989300012588501,"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/differentiable-function","display_name":"Differentiable function","score":0.7412070631980896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6664087772369385},{"id":"https://openalex.org/keywords/envelope","display_name":"Envelope (radar)","score":0.6221228837966919},{"id":"https://openalex.org/keywords/automatic-differentiation","display_name":"Automatic differentiation","score":0.6123732924461365},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4464058578014374},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4429016709327698},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38935357332229614},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.35199490189552307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21682873368263245},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10954540967941284}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.7412070631980896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6664087772369385},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.6221228837966919},{"id":"https://openalex.org/C133512626","wikidata":"https://www.wikidata.org/wiki/Q787371","display_name":"Automatic differentiation","level":3,"score":0.6123732924461365},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4464058578014374},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4429016709327698},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38935357332229614},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.35199490189552307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21682873368263245},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10954540967941284},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp43922.2022.9746423","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9746423","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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":"ICASSP 2022 - 2022 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":52,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1569098853","https://openalex.org/W1597009674","https://openalex.org/W1605920984","https://openalex.org/W1606458877","https://openalex.org/W1855112655","https://openalex.org/W1972010412","https://openalex.org/W1973342538","https://openalex.org/W2006903949","https://openalex.org/W2030161963","https://openalex.org/W2038497950","https://openalex.org/W2048841424","https://openalex.org/W2057681237","https://openalex.org/W2098432798","https://openalex.org/W2115386659","https://openalex.org/W2124768887","https://openalex.org/W2167607759","https://openalex.org/W2602608495","https://openalex.org/W2604738573","https://openalex.org/W2765202580","https://openalex.org/W2787289530","https://openalex.org/W2899771611","https://openalex.org/W2910812475","https://openalex.org/W2914584698","https://openalex.org/W2963055445","https://openalex.org/W2963140169","https://openalex.org/W2963394214","https://openalex.org/W2963474881","https://openalex.org/W2963534244","https://openalex.org/W2988157455","https://openalex.org/W2991900752","https://openalex.org/W3008706590","https://openalex.org/W3033095513","https://openalex.org/W3034464575","https://openalex.org/W3037315641","https://openalex.org/W3115151267","https://openalex.org/W3118608800","https://openalex.org/W4237339879","https://openalex.org/W4293363567","https://openalex.org/W6635935089","https://openalex.org/W6638823929","https://openalex.org/W6677995690","https://openalex.org/W6705072498","https://openalex.org/W6745193812","https://openalex.org/W6746156715","https://openalex.org/W6748242197","https://openalex.org/W6756040250","https://openalex.org/W6758240126","https://openalex.org/W6778983485","https://openalex.org/W6779138788","https://openalex.org/W6779984738","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W4230546540","https://openalex.org/W1543341614","https://openalex.org/W1718642889","https://openalex.org/W2553993726","https://openalex.org/W4285277090","https://openalex.org/W2039953621","https://openalex.org/W166200282","https://openalex.org/W4318903784","https://openalex.org/W2958554379","https://openalex.org/W4389139242"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,11,54],"a":[3,23],"Moreau":[4,28],"envelope":[5],"is":[6],"central":[7],"to":[8,27,33,36,42],"the":[9,52],"analysis":[10],"first-order":[12],"optimization":[13],"algorithms":[14],"for":[15],"machine":[16],"learning":[17,43],"and":[18,30,49],"signal":[19],"processing.":[20],"We":[21],"define":[22],"compositional":[24],"calculus":[25],"adapted":[26],"envelopes":[29],"show":[31],"how":[32],"apply":[34],"it":[35],"deep":[37],"networks,":[38],"and,":[39],"more":[40],"broadly,":[41],"systems":[44],"equipped":[45],"with":[46],"automatic":[47],"differentiation":[48],"implemented":[50],"in":[51],"spirit":[53],"differentiable":[55],"programming.":[56]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}