{"id":"https://openalex.org/W2946720822","doi":"https://doi.org/10.48550/arxiv.1905.10409","title":"Greedy Shallow Networks: An Approach for Constructing and Training Neural Networks","display_name":"Greedy Shallow Networks: An Approach for Constructing and Training Neural Networks","publication_year":2019,"publication_date":"2019-05-24","ids":{"openalex":"https://openalex.org/W2946720822","doi":"https://doi.org/10.48550/arxiv.1905.10409","mag":"2946720822"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1905.10409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.10409","pdf_url":"https://arxiv.org/pdf/1905.10409","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1905.10409","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002906983","display_name":"Anton Dereventsov","orcid":"https://orcid.org/0000-0002-7095-8236","observed_orcids":["https://orcid.org/0000-0002-7095-8236"]},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dereventsov, Anton","raw_affiliation_strings":["Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026133100","display_name":"Armenak Petrosyan","orcid":"https://orcid.org/0000-0003-3198-6397","observed_orcids":["https://orcid.org/0000-0003-3198-6397"]},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Petrosyan, Armenak","raw_affiliation_strings":["Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA","institution_ids":["https://openalex.org/I1289243028"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009338966","display_name":"Clayton Webster","orcid":"https://orcid.org/0000-0002-1375-0359","observed_orcids":["https://orcid.org/0000-0002-1375-0359"]},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Webster, Clayton","raw_affiliation_strings":["Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA","Department of Mathematics , University of Tennessee at Knoxville , Knoxville , TN , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational and Applied Mathematics Group , Oak Ridge National Laboratory , Oak Ridge , TN , USA","institution_ids":["https://openalex.org/I1289243028"]},{"raw_affiliation_string":"Department of Mathematics , University of Tennessee at Knoxville , Knoxville , TN , USA","institution_ids":["https://openalex.org/I75027704"]}]}],"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":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"2","first_page":"58","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9848999977111816,"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":0.9848999977111816,"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":0.006099999882280827,"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/T12676","display_name":"Machine Learning and ELM","score":0.00419999985024333,"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/shallow-neural-networks","display_name":"shallow neural networks","score":0.8199999928474426},{"id":"https://openalex.org/keywords/single-hidden-layer-feedforward-neural-network","display_name":"single hidden layer neural network","score":0.7749999761581421},{"id":"https://openalex.org/keywords/relu-activation-function","display_name":"ReLU activation","score":0.9900000095367432},{"id":"https://openalex.org/keywords/ridgelet-transform","display_name":"ridgelet transform","score":0.8980000019073486},{"id":"https://openalex.org/keywords/dictionary-selection","display_name":"dictionary selection","score":0.515999972820282},{"id":"https://openalex.org/keywords/network-initialization","display_name":"network initialization","score":0.6830000281333923},{"id":"https://openalex.org/keywords/backpropagation-free-training","display_name":"backpropagation-free training","score":0.6800000071525574},{"id":"https://openalex.org/keywords/neural-network-architecture-selection","display_name":"neural network architecture selection","score":0.5659999847412109}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.725884735584259},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.7179295420646667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7110352516174316},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6624003648757935},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.6542614102363586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5946516990661621},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5895125865936279},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.559540867805481},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5006959438323975},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45037874579429626},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44431939721107483},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43921053409576416},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3208622336387634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26848357915878296},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.22277110815048218},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06481748819351196},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:1905.10409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.10409","pdf_url":"https://arxiv.org/pdf/1905.10409","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"mag:2946720822","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1905.10409.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1905.10409","doi":"https://doi.org/10.48550/arxiv.1905.10409","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.10409","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3206562223","doi":null,"is_oa":false,"landing_page_url":"http://ceser.in/ceserp/index.php/ijai/article/view/6774","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Artificial Intelligence","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1905.10409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1905.10409","pdf_url":"https://arxiv.org/pdf/1905.10409","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1026679911","display_name":null,"funder_award_id":"DE-AC05","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"},{"id":"https://openalex.org/G121915436","display_name":null,"funder_award_id":"DEAC05- 00OR22725","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G1645119126","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G203625172","display_name":null,"funder_award_id":"DE--AC05--00OR22725","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2411683797","display_name":null,"funder_award_id":"DEAC05- 00OR22725","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2487984123","display_name":null,"funder_award_id":"DMS1620280","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G313676650","display_name":null,"funder_award_id":"DEAC05-00OR22725","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"},{"id":"https://openalex.org/G3809081345","display_name":null,"funder_award_id":"ERKJ314","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4370606643","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G4423657506","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320338287","funder_display_name":"Oak Ridge National Laboratory"},{"id":"https://openalex.org/G6231974842","display_name":null,"funder_award_id":"ERKJ331","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G6344208662","display_name":null,"funder_award_id":"ERKJ314","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G6677662844","display_name":null,"funder_award_id":"ERKJ345","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G675320460","display_name":null,"funder_award_id":"DE-AC05-00OR22725","funder_id":"https://openalex.org/F4320338287","funder_display_name":"Oak Ridge National Laboratory"},{"id":"https://openalex.org/G8269158468","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G8943143067","display_name":null,"funder_award_id":"AC05-00OR22725","funder_id":"https://openalex.org/F4320316892","funder_display_name":"UT-Battelle"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320316892","display_name":"UT-Battelle","ror":"https://ror.org/04nza6677"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338287","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946720822.pdf","grobid_xml":"https://content.openalex.org/works/W2946720822.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W143004564","https://openalex.org/W1522301498","https://openalex.org/W1533861849","https://openalex.org/W1604316327","https://openalex.org/W1606103777","https://openalex.org/W1677182931","https://openalex.org/W1971735090","https://openalex.org/W1987618706","https://openalex.org/W1996640396","https://openalex.org/W2000625016","https://openalex.org/W2031299600","https://openalex.org/W2037842665","https://openalex.org/W2039055345","https://openalex.org/W2040628885","https://openalex.org/W2077597269","https://openalex.org/W2085310530","https://openalex.org/W2097998348","https://openalex.org/W2103496339","https://openalex.org/W2107822587","https://openalex.org/W2116281086","https://openalex.org/W2125818553","https://openalex.org/W2127271355","https://openalex.org/W2128659236","https://openalex.org/W2151693816","https://openalex.org/W2154172459","https://openalex.org/W2167967601","https://openalex.org/W2178237821","https://openalex.org/W2267236547","https://openalex.org/W2557283755","https://openalex.org/W2739160792","https://openalex.org/W2914629549","https://openalex.org/W2946660403","https://openalex.org/W2964121744","https://openalex.org/W2966903779","https://openalex.org/W2970338090","https://openalex.org/W2978704341","https://openalex.org/W3012626023","https://openalex.org/W3033701124","https://openalex.org/W3115614799","https://openalex.org/W3160447895","https://openalex.org/W4245888765"],"related_works":["https://openalex.org/W4394655030","https://openalex.org/W3115614799","https://openalex.org/W2796453666","https://openalex.org/W3014238038","https://openalex.org/W2938841558","https://openalex.org/W3137389718","https://openalex.org/W2952661520","https://openalex.org/W2951491502","https://openalex.org/W3024315430","https://openalex.org/W2110798204"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,20,28,33,47],"greedy-based":[3],"approach":[4,25,89],"to":[5,105,141],"construct":[6],"an":[7,61],"efficient":[8,95],"single":[9],"hidden":[10],"layer":[11],"neural":[12,151],"network":[13,30],"with":[14,36],"the":[15,37,42,55,65,69,75,78,85,92,123,131,134,142],"ReLU":[16],"activation":[17],"that":[18,72],"approximates":[19],"target":[21],"function.":[22],"In":[23],"our":[24],"we":[26,59],"obtain":[27],"shallow":[29],"by":[31,41],"utilizing":[32],"greedy":[34,56,86],"algorithm":[35],"prescribed":[38],"dictionary":[39,79],"provided":[40],"available":[43],"training":[44],"data":[45],"and":[46,80,137,148],"set":[48],"of":[49,64,77,84,94,110,133],"possible":[50],"inner":[51],"weights.":[52],"To":[53],"facilitate":[54],"selection":[57],"process":[58],"employ":[60],"integral":[62],"representation":[63],"network,":[66],"based":[67],"on":[68],"ridgelet":[70],"transform,":[71],"significantly":[73],"reduces":[74],"cardinality":[76],"hence":[81],"promotes":[82],"feasibility":[83],"selection.":[87],"Our":[88],"allows":[90],"for":[91,125,145,150],"construction":[93],"architectures":[96,147],"which":[97],"can":[98],"be":[99,106],"treated":[100],"either":[101],"as":[102,114],"improved":[103],"initializations":[104,149],"used":[107],"in":[108,117],"place":[109],"random-based":[111],"alternatives,":[112],"or":[113],"fully-trained":[115],"networks":[116],"certain":[118],"cases,":[119],"thus":[120],"potentially":[121],"nullifying":[122],"need":[124],"backpropagation":[126],"training.":[127],"Numerical":[128],"experiments":[129],"demonstrate":[130],"tenability":[132],"proposed":[135],"concept":[136],"its":[138],"advantages":[139],"compared":[140],"conventional":[143],"techniques":[144],"selecting":[146],"networks.":[152]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2019-05-29T00:00:00"}