{"id":"https://openalex.org/W2535222319","doi":"https://doi.org/10.1109/nnsp.2003.1318015","title":"Neural network fields","display_name":"Neural network fields","publication_year":2004,"publication_date":"2004-10-19","ids":{"openalex":"https://openalex.org/W2535222319","doi":"https://doi.org/10.1109/nnsp.2003.1318015","mag":"2535222319"},"language":"en","primary_location":{"id":"doi:10.1109/nnsp.2003.1318015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nnsp.2003.1318015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE XIII Workshop on Neural Networks for Signal Processing (IEEE Cat. No.03TH8718)","raw_type":"proceedings-article"},"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/A5033055388","display_name":"Bruno Pelletier","orcid":null},"institutions":[{"id":"https://openalex.org/I141576021","display_name":"Universit\u00e9 Le Havre Normandie","ror":"https://ror.org/05v509s40","country_code":"FR","type":"education","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"B. Pelletier","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 du Havre, Le Havre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 du Havre, Le Havre, France","institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033055388"],"corresponding_institution_ids":["https://openalex.org/I141576021","https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24045402,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"167","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9988999962806702,"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":0.9988999962806702,"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/T11236","display_name":"Control Systems and Identification","score":0.951200008392334,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9445000290870667,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.8151465654373169},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.660088300704956},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.6036644577980042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5807006359100342},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5342069864273071},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5246439576148987},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5205289125442505},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.48239290714263916},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.40369564294815063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.358331561088562},{"id":"https://openalex.org/keywords/time-delay-neural-network","display_name":"Time delay neural network","score":0.3208198547363281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2852593958377838},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11840325593948364}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.8151465654373169},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.660088300704956},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6036644577980042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5807006359100342},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5342069864273071},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5246439576148987},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5205289125442505},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.48239290714263916},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.40369564294815063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.358331561088562},{"id":"https://openalex.org/C175202392","wikidata":"https://www.wikidata.org/wiki/Q2434543","display_name":"Time delay neural network","level":3,"score":0.3208198547363281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2852593958377838},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11840325593948364},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nnsp.2003.1318015","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nnsp.2003.1318015","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE XIII Workshop on Neural Networks for Signal Processing (IEEE Cat. No.03TH8718)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1981184437","https://openalex.org/W2072285250","https://openalex.org/W2108777272","https://openalex.org/W2109779438","https://openalex.org/W2114766824","https://openalex.org/W2164359548","https://openalex.org/W6668667902","https://openalex.org/W6676527897","https://openalex.org/W6677103964","https://openalex.org/W6684185293"],"related_works":["https://openalex.org/W1584270863","https://openalex.org/W2085961337","https://openalex.org/W180587397","https://openalex.org/W2371506377","https://openalex.org/W2319800497","https://openalex.org/W127966330","https://openalex.org/W2391951449","https://openalex.org/W2392283361","https://openalex.org/W2765937093","https://openalex.org/W2354205711"],"abstract_inverted_index":{"In":[0],"this":[1,74],"paper,":[2],"a":[3,8,13,17,29,57,68],"neural":[4,25,30],"network":[5,26,47,104],"field":[6,27,112],"over":[7],"subset":[9],"/spl":[10,44],"Xi/":[11],"of":[12,34,38,55,66,73,76,84,113],"metric":[14],"space":[15],"and":[16],"corresponding":[18],"stochastic":[19],"learning":[20],"algorithm":[21],"are":[22,36,49],"introduced.":[23],"A":[24],"is":[28],"network,":[31],"the":[32,53,64,82,88,99,111],"parameters":[33],"which":[35],"functions":[37],"other":[39],"variables,":[40],"being":[41],"valued":[42],"in":[43,81],"Xi/.":[45],"Neural":[46,103],"fields":[48,105],"mostly":[50],"dedicated":[51],"to":[52,63],"problem":[54,65,77],"approximating":[56,67],"parametrized":[58],"function":[59,69],"or,":[60],"more":[61],"generally,":[62],"field.":[70],"Typical":[71],"examples":[72],"kind":[75],"may":[78],"be":[79],"found":[80],"context":[83],"geophysical":[85],"sciences,":[86],"where":[87],"observed":[89],"data":[90,100],"depends":[91],"on":[92],"two":[93],"or":[94],"three":[95],"angular":[96],"variables":[97],"characterizing":[98],"acquisition":[101],"process.":[102],"also":[106],"offers":[107],"interesting":[108],"perspectives":[109],"within":[110],"parametric":[114],"nonlinear":[115],"modeling":[116],"techniques.":[117]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}