{"id":"https://openalex.org/W4408160620","doi":"https://doi.org/10.1137/24m1661777","title":"Deep Learning without Global Optimization by Random Fourier Neural Networks","display_name":"Deep Learning without Global Optimization by Random Fourier Neural Networks","publication_year":2025,"publication_date":"2025-03-05","ids":{"openalex":"https://openalex.org/W4408160620","doi":"https://doi.org/10.1137/24m1661777"},"language":"en","primary_location":{"id":"doi:10.1137/24m1661777","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1661777","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.osti.gov/biblio/2530844","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110115745","display_name":"Owen Davis","orcid":"https://orcid.org/0009-0002-9818-5279"},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Owen Davis","raw_affiliation_strings":["Department of Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM 87123 USA"],"affiliations":[{"raw_affiliation_string":"Department of Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM 87123 USA","institution_ids":["https://openalex.org/I192454743","https://openalex.org/I4210104735"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108692724","display_name":"Gianluca Geraci","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]},{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gianluca Geraci","raw_affiliation_strings":["Department of Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM 87123 USA"],"affiliations":[{"raw_affiliation_string":"Department of Optimization and Uncertainty Quantification, Sandia National Laboratories, Albuquerque, NM 87123 USA","institution_ids":["https://openalex.org/I192454743","https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047447127","display_name":"Mohammad Motamed","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Motamed","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM 87106 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM 87106 USA","institution_ids":["https://openalex.org/I169521973"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110115745"],"corresponding_institution_ids":["https://openalex.org/I192454743","https://openalex.org/I4210104735"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01623561,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"2","first_page":"C265","last_page":"C290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9980000257492065,"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":0.9980000257492065,"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/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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9970999956130981,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.5832923650741577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5709918737411499},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4669455289840698},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35357725620269775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3478585481643677},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3251291513442993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30374956130981445},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19156593084335327}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5832923650741577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5709918737411499},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4669455289840698},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35357725620269775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3478585481643677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3251291513442993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30374956130981445},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19156593084335327}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1661777","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1661777","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:osti.gov:2530844","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2530844","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:osti.gov:2530844","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2530844","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8279418378","display_name":null,"funder_award_id":"DE-NA0003525","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"}],"funders":[{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1995780830","https://openalex.org/W2008703230","https://openalex.org/W2044828368","https://openalex.org/W2120575449","https://openalex.org/W2166116275","https://openalex.org/W2914483840","https://openalex.org/W2938647293","https://openalex.org/W2989757660","https://openalex.org/W2990138404","https://openalex.org/W3081784864","https://openalex.org/W3102037514","https://openalex.org/W3153985548","https://openalex.org/W3182298826","https://openalex.org/W3194668998","https://openalex.org/W3200673624","https://openalex.org/W3205073660","https://openalex.org/W4236362309","https://openalex.org/W4293106097","https://openalex.org/W4296753933","https://openalex.org/W4377030047","https://openalex.org/W4400254528"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542","https://openalex.org/W4313731559"],"abstract_inverted_index":{"Here":[0],"we":[1,80],"introduce":[2],"a":[3,21],"new":[4],"training":[5],"algorithm":[6],"for":[7,49],"deep":[8],"neural":[9],"networks":[10,51],"that":[11],"utilize":[12],"random":[13],"complex":[14,53],"exponential":[15,54],"activation":[16,55],"functions.":[17,90],"Our":[18],"approach":[19],"employs":[20],"Markov":[22],"chain":[23],"Monte":[24],"Carlo":[25],"sampling":[26],"procedure":[27],"to":[28],"iteratively":[29],"train":[30],"network":[31,59],"layers,":[32],"avoiding":[33],"global":[34],"and":[35,68],"gradient-based":[36],"optimization":[37],"while":[38],"maintaining":[39],"error":[40],"control.":[41],"It":[42],"consistently":[43],"attains":[44],"the":[45],"theoretical":[46],"approximation":[47],"rate":[48],"residual":[50],"with":[52],"functions,":[56,79],"determined":[57],"by":[58],"complexity.":[60],"Additionally,":[61],"it":[62],"enables":[63],"efficient":[64],"learning":[65],"of":[66],"multiscale":[67],"high-frequency":[69],"features,":[70],"producing":[71],"interpretable":[72],"parameter":[73],"distributions.":[74],"Despite":[75],"using":[76],"sinusoidal":[77],"basis":[78],"do":[81],"not":[82],"observe":[83],"Gibbs":[84],"phenomena":[85],"in":[86],"approximating":[87],"discontinuous":[88],"target":[89]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}