{"id":"https://openalex.org/W3136839294","doi":"https://doi.org/10.1007/978-3-030-71278-5_1","title":"Characterizing the Role of a Single Coupling Layer in Affine Normalizing Flows","display_name":"Characterizing the Role of a Single Coupling Layer in Affine Normalizing Flows","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3136839294","doi":"https://doi.org/10.1007/978-3-030-71278-5_1","mag":"3136839294"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-71278-5_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-71278-5_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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/A5083537903","display_name":"Felix Draxler","orcid":"https://orcid.org/0000-0003-0978-1539"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]},{"id":"https://openalex.org/I4210086570","display_name":"Heidelberg University of Education","ror":"https://ror.org/0044w3h23","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210086570"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Draxler","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany","Visual Learning Lab, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0978-1539","affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Visual Learning Lab, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909","https://openalex.org/I4210086570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085990900","display_name":"Jonathan Schwarz","orcid":"https://orcid.org/0000-0003-1825-3826"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jonathan Schwarz","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-1825-3826","affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088815590","display_name":"Christoph Schn\u00f6rr","orcid":"https://orcid.org/0000-0002-8999-2338"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Schn\u00f6rr","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8999-2338","affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Image and Pattern Analysis Group, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110454166","display_name":"Ullrich K\u00f6the","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]},{"id":"https://openalex.org/I4210086570","display_name":"Heidelberg University of Education","ror":"https://ror.org/0044w3h23","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210086570"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ullrich K\u00f6the","raw_affiliation_strings":["Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","Visual Learning Lab, Heidelberg University, Heidelberg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6036-1287","affiliations":[{"raw_affiliation_string":"Heidelberg Collaboratory for Image Processing, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Visual Learning Lab, Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909","https://openalex.org/I4210086570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083537903"],"corresponding_institution_ids":["https://openalex.org/I223822909","https://openalex.org/I4210086570"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02842191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9976999759674072,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9962999820709229,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9962000250816345,"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/affine-transformation","display_name":"Affine transformation","score":0.9036926627159119},{"id":"https://openalex.org/keywords/affine-coordinate-system","display_name":"Affine coordinate system","score":0.6371079683303833},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.6369125843048096},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.5515331625938416},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5076724290847778},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.5031413435935974},{"id":"https://openalex.org/keywords/affine-hull","display_name":"Affine hull","score":0.48011231422424316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4718879461288452},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44642049074172974},{"id":"https://openalex.org/keywords/affine-shape-adaptation","display_name":"Affine shape adaptation","score":0.4193112254142761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3933087885379791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3628618121147156},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30634745955467224},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.27354368567466736},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.11725941300392151},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06948316097259521}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.9036926627159119},{"id":"https://openalex.org/C95565831","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine coordinate system","level":4,"score":0.6371079683303833},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.6369125843048096},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.5515331625938416},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5076724290847778},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5031413435935974},{"id":"https://openalex.org/C112128483","wikidata":"https://www.wikidata.org/wiki/Q382504","display_name":"Affine hull","level":4,"score":0.48011231422424316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4718879461288452},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44642049074172974},{"id":"https://openalex.org/C18516315","wikidata":"https://www.wikidata.org/wiki/Q4688950","display_name":"Affine shape adaptation","level":4,"score":0.4193112254142761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3933087885379791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3628618121147156},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30634745955467224},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.27354368567466736},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.11725941300392151},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06948316097259521},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-71278-5_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-71278-5_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1522264804","https://openalex.org/W2055367468","https://openalex.org/W2279346308","https://openalex.org/W2791933456","https://openalex.org/W2819579046","https://openalex.org/W2887540873","https://openalex.org/W2898726413","https://openalex.org/W2947923544","https://openalex.org/W2948571844","https://openalex.org/W2970578216","https://openalex.org/W2970774025","https://openalex.org/W2971007906","https://openalex.org/W2972246420","https://openalex.org/W3098700198","https://openalex.org/W6600254619","https://openalex.org/W6602823723","https://openalex.org/W6607723484"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W1510464305","https://openalex.org/W2077614002","https://openalex.org/W2673935","https://openalex.org/W2016861691","https://openalex.org/W2964008969","https://openalex.org/W2036246238","https://openalex.org/W4300070731","https://openalex.org/W2399434605","https://openalex.org/W2306105624"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}