{"id":"https://openalex.org/W2941285683","doi":"https://doi.org/10.1109/ijcnn.2019.8851711","title":"Deep Networks with Adaptive Nystr\u00f6m Approximation","display_name":"Deep Networks with Adaptive Nystr\u00f6m Approximation","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2941285683","doi":"https://doi.org/10.1109/ijcnn.2019.8851711","mag":"2941285683"},"language":"en","primary_location":{"id":"doi:10.1109/ijcnn.2019.8851711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2019.8851711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1911.13036","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030709643","display_name":"Luc Giffon","orcid":null},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Luc Giffon","raw_affiliation_strings":["Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058862285","display_name":"St\u00e9phane Ayache","orcid":"https://orcid.org/0000-0003-2982-7127"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stephane Ayache","raw_affiliation_strings":["Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013593379","display_name":"Thierry Arti\u00e8res","orcid":"https://orcid.org/0000-0003-3696-0321"},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Artieres","raw_affiliation_strings":["Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079506428","display_name":"Hachem Kadri","orcid":"https://orcid.org/0000-0002-8060-5354"},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hachem Kadri","raw_affiliation_strings":["Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Universit\u00e9, Universit\u00e9 de Toulon, CNRS, LIS, Marseille, France","institution_ids":["https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030709643"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04869205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9966999888420105,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9955000281333923,"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/computer-science","display_name":"Computer science","score":0.7707760334014893},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.7422504425048828},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.5930210947990417},{"id":"https://openalex.org/keywords/convolutional-neural-network","display_name":"Convolutional neural network","score":0.524795413017273},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5226021409034729},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5070321559906006},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47393542528152466},{"id":"https://openalex.org/keywords/deep-neural-networks","display_name":"Deep neural networks","score":0.4599456191062927},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.41078513860702515},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3615679442882538},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3464232087135315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2055237591266632},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.06768342852592468}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7707760334014893},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7422504425048828},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.5930210947990417},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.524795413017273},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5226021409034729},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5070321559906006},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47393542528152466},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.4599456191062927},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.41078513860702515},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3615679442882538},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3464232087135315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2055237591266632},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.06768342852592468},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ijcnn.2019.8851711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ijcnn.2019.8851711","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Joint Conference on Neural Networks (IJCNN)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1911.13036","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.13036","pdf_url":"https://arxiv.org/pdf/1911.13036","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1911.13036","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.13036","pdf_url":"https://arxiv.org/pdf/1911.13036","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W79158146","https://openalex.org/W130653142","https://openalex.org/W175700287","https://openalex.org/W1493372406","https://openalex.org/W1686810756","https://openalex.org/W2015654075","https://openalex.org/W2088032561","https://openalex.org/W2109235804","https://openalex.org/W2109743529","https://openalex.org/W2112545207","https://openalex.org/W2112796928","https://openalex.org/W2123395972","https://openalex.org/W2123872146","https://openalex.org/W2141566892","https://openalex.org/W2144902422","https://openalex.org/W2152332944","https://openalex.org/W2167608136","https://openalex.org/W2212676342","https://openalex.org/W2312014298","https://openalex.org/W2335728318","https://openalex.org/W2402144811","https://openalex.org/W2560763077","https://openalex.org/W2769415053","https://openalex.org/W2913124272","https://openalex.org/W2949578333","https://openalex.org/W2953384591","https://openalex.org/W2962835968","https://openalex.org/W2963766931","https://openalex.org/W2964135722","https://openalex.org/W2964211601","https://openalex.org/W3118608800","https://openalex.org/W4300061310","https://openalex.org/W6603212874","https://openalex.org/W6605320386","https://openalex.org/W6607141589","https://openalex.org/W6629461549","https://openalex.org/W6637373629","https://openalex.org/W6678131844","https://openalex.org/W6678945949","https://openalex.org/W6681302627","https://openalex.org/W6684770997","https://openalex.org/W6684918892","https://openalex.org/W6688648137","https://openalex.org/W6698376465","https://openalex.org/W6703116779","https://openalex.org/W6712094938","https://openalex.org/W6713134421","https://openalex.org/W6730584485","https://openalex.org/W6746223930","https://openalex.org/W6787972765"],"related_works":["https://openalex.org/W4226493464","https://openalex.org/W4312417841","https://openalex.org/W3133861977","https://openalex.org/W2951211570","https://openalex.org/W3103566983","https://openalex.org/W3029198973","https://openalex.org/W4377865163","https://openalex.org/W3193857078","https://openalex.org/W2888956734","https://openalex.org/W3000197790"],"abstract_inverted_index":{"Recent":[0],"work":[1],"has":[2,78],"focused":[3],"on":[4,49,85],"combining":[5],"kernel":[6,45,65],"methods":[7],"and":[8,57,67,89],"deep":[9],"learning":[10],"to":[11,117],"exploit":[12],"the":[13,16,32,50,79,94],"best":[14],"of":[15,25,36,43,93,101],"two":[17],"approaches.":[18],"Here,":[19],"we":[20,30],"introduce":[21],"a":[22,44],"new":[23],"architecture":[24,77,84],"neural":[26],"networks":[27],"in":[28,97],"which":[29,104],"replace":[31],"top":[33],"dense":[34],"layers":[35],"standard":[37,83],"convolutional":[38],"architectures":[39],"with":[40,63],"an":[41],"approximation":[42],"function":[46,66],"by":[47],"relying":[48],"Nystr\u00f6m":[51],"approximation.":[52],"Our":[53],"approach":[54],"is":[55,61],"easy":[56],"highly":[58],"flexible.":[59],"It":[60],"compatible":[62],"any":[64],"it":[68,106],"allows":[69],"exploiting":[70],"multiple":[71],"kernels.":[72],"We":[73],"show":[74],"that":[75],"our":[76],"same":[80],"performance":[81],"than":[82],"datasets":[86],"like":[87],"SVHN":[88],"CIFAR100.":[90],"One":[91],"benefit":[92],"method":[95],"lies":[96],"its":[98],"limited":[99],"number":[100],"learnable":[102],"parameters":[103],"makes":[105],"particularly":[107],"suited":[108],"for":[109],"small":[110],"training":[111],"set":[112],"sizes,":[113],"e.g.":[114],"from":[115],"5":[116],"20":[118],"samples":[119],"per":[120],"class.":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}