{"id":"https://openalex.org/W3178146081","doi":"https://doi.org/10.1109/sais55783.2022.9833034","title":"Slope and Generalization Properties of Neural Networks","display_name":"Slope and Generalization Properties of Neural Networks","publication_year":2022,"publication_date":"2022-06-13","ids":{"openalex":"https://openalex.org/W3178146081","doi":"https://doi.org/10.1109/sais55783.2022.9833034","mag":"3178146081"},"language":"en","primary_location":{"id":"doi:10.1109/sais55783.2022.9833034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sais55783.2022.9833034","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 Swedish Artificial Intelligence Society Workshop (SAIS)","raw_type":"proceedings-article"},"type":"preprint","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/A5031333361","display_name":"Anton Johansson","orcid":"https://orcid.org/0000-0002-0235-4617"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Anton Johansson","raw_affiliation_strings":["Chalmers University of Technology"],"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090218536","display_name":"Niklas Engsner","orcid":"https://orcid.org/0000-0002-0219-9522"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Niklas Engsner","raw_affiliation_strings":["Chalmers University of Technology"],"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088093796","display_name":"Claes Stranneg\u00e5rd","orcid":"https://orcid.org/0000-0003-4571-9759"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Claes Strannegard","raw_affiliation_strings":["Chalmers University of Technology"],"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027184190","display_name":"Petter Mostad","orcid":"https://orcid.org/0000-0002-2569-6070"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Petter Mostad","raw_affiliation_strings":["Chalmers University of Technology"],"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031333361"],"corresponding_institution_ids":["https://openalex.org/I66862912"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00435216,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"abs 1805 10451","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9995999932289124,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9783999919891357,"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":0.9707000255584717,"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/generalization","display_name":"Generalization","score":0.7170255780220032},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5620027780532837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5588650107383728},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36803653836250305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28124868869781494},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0649465024471283}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7170255780220032},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5620027780532837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5588650107383728},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36803653836250305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28124868869781494},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0649465024471283}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/sais55783.2022.9833034","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sais55783.2022.9833034","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 Swedish Artificial Intelligence Society Workshop (SAIS)","raw_type":"proceedings-article"},{"id":"pmh:oai:research.chalmers.se:527810","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/527810","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:research.chalmers.se:531796","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/915fe590-1056-4e60-b683-6a42e6756a45","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1665214252","https://openalex.org/W2400908863","https://openalex.org/W2618017917","https://openalex.org/W2800415562","https://openalex.org/W2803911450","https://openalex.org/W2804066051","https://openalex.org/W2964184826","https://openalex.org/W2970338090","https://openalex.org/W2970971581","https://openalex.org/W2976504920","https://openalex.org/W2976768568","https://openalex.org/W3133281257","https://openalex.org/W3137695714","https://openalex.org/W3158902962","https://openalex.org/W6637242042","https://openalex.org/W6738248287","https://openalex.org/W6751002639","https://openalex.org/W6752169130","https://openalex.org/W6752314297","https://openalex.org/W6763485134","https://openalex.org/W6763744544","https://openalex.org/W6768326371"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W3162204513","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W4402327032"],"abstract_inverted_index":{"Neural":[0],"networks":[1,86],"are":[2],"very":[3],"successful":[4],"tools":[5],"in":[6,110,136,157,188],"for":[7],"example":[8],"advanced":[9],"classification.":[10],"From":[11],"a":[12,18,25,32,39,122,137,150,172],"statistical":[13],"point":[14],"of":[15,27,41,49,58,73,91,100,118,121,130,133,145,163,174,190],"view,":[16],"fitting":[17,84],"neural":[19,85,124],"network":[20,125,182],"may":[21],"be":[22,66],"seen":[23],"as":[24,168,171],"kind":[26],"regression,":[28],"where":[29],"we":[30,104],"seek":[31],"function":[33,177],"from":[34],"the":[35,46,50,70,74,89,92,95,116,119,131,134,143,146,154,164,175],"input":[36],"space":[37,40],"to":[38,79,107],"classification":[42],"probabilities":[43],"that":[44,115,142],"follows":[45],"\u201cgeneral\u201d":[47],"shape":[48],"data,":[51],"but":[52],"avoids":[53],"overfitting":[54],"by":[55,68,87],"avoiding":[56],"memorization":[57],"individual":[59],"data":[60,186],"points.":[61],"In":[62],"statistics,":[63],"this":[64],"can":[65],"done":[67],"controlling":[69,88],"geometric":[71],"complexity":[72],"regression":[75],"function.":[76],"We":[77,159],"propose":[78],"do":[80],"something":[81],"similar":[82],"when":[83],"slope":[90,96,120,165],"network.After":[93],"defining":[94],"and":[97,141],"discussing":[98],"some":[99],"its":[101],"theoretical":[102],"properties,":[103],"go":[105],"on":[106,153],"show":[108],"empirically":[109],"examples,":[111],"using":[112,169],"ReLU":[113],"networks,":[114],"distribution":[117,147],"well-trained":[123],"classifier":[126],"is":[127],"generally":[128],"independent":[129],"width":[132],"layers":[135],"fully":[138],"connected":[139],"network,":[140],"mean":[144],"only":[148],"has":[149],"weak":[151],"dependence":[152],"model":[155],"architecture":[156],"general.":[158],"discuss":[160],"possible":[161],"applications":[162],"concept,":[166],"such":[167],"it":[170],"part":[173],"loss":[176],"or":[178,184],"stopping":[179],"criterion":[180],"during":[181],"training,":[183],"ranking":[185],"sets":[187],"terms":[189],"their":[191],"complexity.":[192]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
