{"id":"https://openalex.org/W2005887293","doi":"https://doi.org/10.1016/j.matcom.2010.10.018","title":"Learning over sets with Recurrent Neural Networks: An empirical categorization of aggregation functions","display_name":"Learning over sets with Recurrent Neural Networks: An empirical categorization of aggregation functions","publication_year":2010,"publication_date":"2010-10-27","ids":{"openalex":"https://openalex.org/W2005887293","doi":"https://doi.org/10.1016/j.matcom.2010.10.018","mag":"2005887293"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2010.10.018","doi":"https://doi.org/10.1016/j.matcom.2010.10.018","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2010.10.018","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5067997750","display_name":"Wolfgang Heidl","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210132502","display_name":"PROFACTOR GmbH (Austria)","ror":"https://ror.org/043rjaw23","country_code":"AT","type":"company","lineage":["https://openalex.org/I132118926","https://openalex.org/I4210132502"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"W. Heidl","raw_affiliation_strings":["Profactor GmbH, Im Stadtgut A2 , 4407, Steyr-Gleink, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Profactor GmbH, Im Stadtgut A2 , 4407, Steyr-Gleink, Austria","institution_ids":["https://openalex.org/I4210132502"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020818005","display_name":"Christian Eitzinger","orcid":"https://orcid.org/0000-0002-3270-8279","observed_orcids":["https://orcid.org/0000-0002-3270-8279"]},"institutions":[{"id":"https://openalex.org/I4210132502","display_name":"PROFACTOR GmbH (Austria)","ror":"https://ror.org/043rjaw23","country_code":"AT","type":"company","lineage":["https://openalex.org/I132118926","https://openalex.org/I4210132502"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"C. Eitzinger","raw_affiliation_strings":["Profactor GmbH, Im Stadtgut A2 , 4407, Steyr-Gleink, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Profactor GmbH, Im Stadtgut A2 , 4407, Steyr-Gleink, Austria","institution_ids":["https://openalex.org/I4210132502"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087859904","display_name":"M. Gyimesi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"M. Gyimesi","raw_affiliation_strings":["Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","Vienna University of Technology, Wiedner Hauptstra\u00ede 8-10, 1040 Wien, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology, Wiedner Hauptstra\u00ede 8-10, 1040 Wien, Austria#TAB#","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082957801","display_name":"Felix Breitenecker","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"F. Breitenecker","raw_affiliation_strings":["Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","Vienna University of Technology, Wiedner Hauptstra\u00ede 8-10, 1040 Wien, Austria#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vienna University of Technology, Wiedner Hauptstra\u00dfe 8-10, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Vienna University of Technology, Wiedner Hauptstra\u00ede 8-10, 1040 Wien, Austria#TAB#","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067997750"],"corresponding_institution_ids":["https://openalex.org/I4210132502"],"apc_list":{"value":2170,"currency":"USD","value_usd":2170},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11377911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"82","issue":"3","first_page":"442","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9878000020980835,"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":0.9878000020980835,"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/T11490","display_name":"Hydrological Forecasting Using AI","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.0017000000225380063,"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/aggregation-operators","display_name":"aggregation operators","score":0.8289999961853027},{"id":"https://openalex.org/keywords/recurrent-neural-networks","display_name":"recurrent neural networks","score":0.9319999814033508},{"id":"https://openalex.org/keywords/order-invariance","display_name":"order invariance","score":0.6579999923706055},{"id":"https://openalex.org/keywords/part-based-representation","display_name":"part-based representation","score":0.7670000195503235},{"id":"https://openalex.org/keywords/elman-neural-network","display_name":"Elman neural network","score":0.8349999785423279},{"id":"https://openalex.org/keywords/long-short-term-memory-networks","display_name":"long short-term memory networks","score":0.8700000047683716},{"id":"https://openalex.org/keywords/function-approximation","display_name":"function approximation","score":0.5320000052452087},{"id":"https://openalex.org/keywords/subset-selection","display_name":"subset selection","score":0.5080000162124634}],"concepts":[{"id":"https://openalex.org/C94124525","wikidata":"https://www.wikidata.org/wiki/Q912550","display_name":"Categorization","level":2,"score":0.847815215587616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6466633081436157},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6248353719711304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5326392650604248},{"id":"https://openalex.org/C2986744138","wikidata":"https://www.wikidata.org/wiki/Q302088","display_name":"Text categorization","level":3,"score":0.4141272008419037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35067716240882874},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.347964346408844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.matcom.2010.10.018","doi":"https://doi.org/10.1016/j.matcom.2010.10.018","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2010.10.018","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:matcom:v:82:y:2011:i:3:p:442-449","doi":null,"is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0378475410003253","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1509884358","https://openalex.org/W1519617912","https://openalex.org/W1560724230","https://openalex.org/W1685006559","https://openalex.org/W2016589492","https://openalex.org/W2023498648","https://openalex.org/W2064675550","https://openalex.org/W2110485445","https://openalex.org/W2117138194","https://openalex.org/W2127827747","https://openalex.org/W2137440383","https://openalex.org/W2151103935","https://openalex.org/W2435338979","https://openalex.org/W2950956209"],"related_works":["https://openalex.org/W3111268873","https://openalex.org/W2921091570","https://openalex.org/W2522631184","https://openalex.org/W2146357755","https://openalex.org/W7128087185","https://openalex.org/W3037646323","https://openalex.org/W2163298392","https://openalex.org/W4221147821","https://openalex.org/W3138240245","https://openalex.org/W4414401527"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}