{"id":"https://openalex.org/W2276412021","doi":"https://doi.org/10.1007/s10601-015-9234-6","title":"A lagrangian propagator for artificial neural networks in constraint programming","display_name":"A lagrangian propagator for artificial neural networks in constraint programming","publication_year":2015,"publication_date":"2015-11-12","ids":{"openalex":"https://openalex.org/W2276412021","doi":"https://doi.org/10.1007/s10601-015-9234-6","mag":"2276412021"},"language":"en","primary_location":{"id":"doi:10.1007/s10601-015-9234-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-015-9234-6","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","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/A5027645414","display_name":"Michele Lombardi","orcid":"https://orcid.org/0000-0003-4709-8888"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Michele Lombardi","raw_affiliation_strings":["University of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"University of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060689993","display_name":"Stefano Gualandi","orcid":"https://orcid.org/0000-0002-2111-3528"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Gualandi","raw_affiliation_strings":["AntOptima SA, Via Aprica 26, 6900, Lugano, Switzerland"],"affiliations":[{"raw_affiliation_string":"AntOptima SA, Via Aprica 26, 6900, Lugano, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027645414"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8902,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83823579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"21","issue":"4","first_page":"435","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9965999722480774,"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":0.9965999722480774,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9684000015258789,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7204147577285767},{"id":"https://openalex.org/keywords/constraint-programming","display_name":"Constraint programming","score":0.6828778386116028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6702584624290466},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.637552797794342},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5797643065452576},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5733067989349365},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.5359023809432983},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.4855360984802246},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.35123348236083984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2211640179157257},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.14851874113082886},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.14263257384300232}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7204147577285767},{"id":"https://openalex.org/C173404611","wikidata":"https://www.wikidata.org/wiki/Q528588","display_name":"Constraint programming","level":3,"score":0.6828778386116028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6702584624290466},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.637552797794342},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5797643065452576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5733067989349365},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.5359023809432983},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.4855360984802246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35123348236083984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2211640179157257},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14851874113082886},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.14263257384300232},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10601-015-9234-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-015-9234-6","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/571277","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/571277","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W42061387","https://openalex.org/W44465109","https://openalex.org/W84829086","https://openalex.org/W127277165","https://openalex.org/W155963807","https://openalex.org/W158283632","https://openalex.org/W179613337","https://openalex.org/W181733065","https://openalex.org/W182522459","https://openalex.org/W196645230","https://openalex.org/W829296453","https://openalex.org/W1514412456","https://openalex.org/W1586335931","https://openalex.org/W1610655459","https://openalex.org/W1933251158","https://openalex.org/W1981307534","https://openalex.org/W1984753492","https://openalex.org/W2001741445","https://openalex.org/W2006500015","https://openalex.org/W2015304908","https://openalex.org/W2021640400","https://openalex.org/W2028070629","https://openalex.org/W2099452584","https://openalex.org/W2129960401","https://openalex.org/W2134435738","https://openalex.org/W2142954275","https://openalex.org/W2159434603","https://openalex.org/W2167694888","https://openalex.org/W2169956782","https://openalex.org/W2170308554","https://openalex.org/W2236623899","https://openalex.org/W2296178629","https://openalex.org/W2913465992","https://openalex.org/W2913988959","https://openalex.org/W2950680102","https://openalex.org/W3104471247","https://openalex.org/W3150325678","https://openalex.org/W4240691156","https://openalex.org/W6786141232"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W3183857959","https://openalex.org/W4243844638","https://openalex.org/W2894990380","https://openalex.org/W195910675","https://openalex.org/W3032916910","https://openalex.org/W2363143319","https://openalex.org/W2351035339","https://openalex.org/W1980006501","https://openalex.org/W2138760184"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}