{"id":"https://openalex.org/W2966918613","doi":"https://doi.org/10.1007/s10472-019-09657-3","title":"A linear relation between input and first layer in neural networks","display_name":"A linear relation between input and first layer in neural networks","publication_year":2019,"publication_date":"2019-08-08","ids":{"openalex":"https://openalex.org/W2966918613","doi":"https://doi.org/10.1007/s10472-019-09657-3","mag":"2966918613"},"language":"en","primary_location":{"id":"doi:10.1007/s10472-019-09657-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-019-09657-3","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"},"type":"article","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/A5042325206","display_name":"Sebasti\u00e1n Alberto Grillo","orcid":"https://orcid.org/0000-0003-0152-5813"},"institutions":[{"id":"https://openalex.org/I240025564","display_name":"Universidad Aut\u00f3noma de Asunci\u00f3n","ror":"https://ror.org/04dvk9y30","country_code":"PY","type":"education","lineage":["https://openalex.org/I240025564"]}],"countries":["PY"],"is_corresponding":true,"raw_author_name":"Sebasti\u00e1n A. Grillo","raw_affiliation_strings":["Faculty of Science and Technology, Universidad Aut\u00f3noma de Asunci\u00f3n, Asunci\u00f3n, Paraguay"],"affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, Universidad Aut\u00f3noma de Asunci\u00f3n, Asunci\u00f3n, Paraguay","institution_ids":["https://openalex.org/I240025564"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042325206"],"corresponding_institution_ids":["https://openalex.org/I240025564"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57534765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"87","issue":"4","first_page":"361","last_page":"372"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T10057","display_name":"Face and Expression Recognition","score":0.9911999702453613,"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":0.9848999977111816,"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":0.7855795621871948},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6211563348770142},{"id":"https://openalex.org/keywords/layer","display_name":"Layer (electronics)","score":0.5815516710281372},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5431056022644043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5315924286842346},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5026469230651855},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.478044331073761},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42700374126434326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41421860456466675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38621577620506287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38310927152633667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34518203139305115},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32480716705322266},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2519482970237732},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.06736919283866882}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7855795621871948},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6211563348770142},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.5815516710281372},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5431056022644043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5315924286842346},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5026469230651855},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.478044331073761},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42700374126434326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41421860456466675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38621577620506287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38310927152633667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34518203139305115},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32480716705322266},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2519482970237732},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.06736919283866882},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10472-019-09657-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10472-019-09657-3","pdf_url":null,"source":{"id":"https://openalex.org/S90199469","display_name":"Annals of Mathematics and Artificial Intelligence","issn_l":"1012-2443","issn":["1012-2443","1573-7470"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematics and Artificial Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1514205146","https://openalex.org/W1598796236","https://openalex.org/W1904242537","https://openalex.org/W1992419399","https://openalex.org/W2004308928","https://openalex.org/W2019363670","https://openalex.org/W2046183352","https://openalex.org/W2072128103","https://openalex.org/W2098730982","https://openalex.org/W2100495367","https://openalex.org/W2120480077","https://openalex.org/W2144354855","https://openalex.org/W2156163116","https://openalex.org/W2156909104","https://openalex.org/W2163922914","https://openalex.org/W2165758113","https://openalex.org/W2168231600","https://openalex.org/W2169558102","https://openalex.org/W2513671774","https://openalex.org/W2919115771","https://openalex.org/W3145128584","https://openalex.org/W4231109964","https://openalex.org/W4238893454","https://openalex.org/W4253941431","https://openalex.org/W6680388890","https://openalex.org/W6684859321"],"related_works":["https://openalex.org/W2386387936","https://openalex.org/W2392808951","https://openalex.org/W2371896326","https://openalex.org/W2152798933","https://openalex.org/W1967882366","https://openalex.org/W2371928941","https://openalex.org/W2528512298","https://openalex.org/W2387540786","https://openalex.org/W2413211990","https://openalex.org/W1911615747"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
