{"id":"https://openalex.org/W2802557767","doi":"https://doi.org/10.1007/s10601-018-9285-6","title":"Deep neural networks and mixed integer linear optimization","display_name":"Deep neural networks and mixed integer linear optimization","publication_year":2018,"publication_date":"2018-04-26","ids":{"openalex":"https://openalex.org/W2802557767","doi":"https://doi.org/10.1007/s10601-018-9285-6","mag":"2802557767"},"language":"en","primary_location":{"id":"doi:10.1007/s10601-018-9285-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-018-9285-6","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/A5019439480","display_name":"Matteo Fischetti","orcid":"https://orcid.org/0000-0001-6601-0568"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Matteo Fischetti","raw_affiliation_strings":["Department of Information Engineering (DEI), University of Padova, Padua, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6601-0568","affiliations":[{"raw_affiliation_string":"Department of Information Engineering (DEI), University of Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061978177","display_name":"Jason Jo","orcid":null},"institutions":[{"id":"https://openalex.org/I2800290161","display_name":"Montreal Heart Institute","ror":"https://ror.org/03vs03g62","country_code":"CA","type":"funder","lineage":["https://openalex.org/I2800290161"]},{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jason Jo","raw_affiliation_strings":["Institute for Data Valorization (IVADO), Montreal, Qu\u00e9bec, Canada","Montreal Institute for Learning Algorithms (MILA), Montreal, Qu\u00e9bec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Valorization (IVADO), Montreal, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I2800290161"]},{"raw_affiliation_string":"Montreal Institute for Learning Algorithms (MILA), Montreal, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I4210164802"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019439480"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":14.7183,"has_fulltext":false,"cited_by_count":259,"citation_normalized_percentile":{"value":0.99039509,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"23","issue":"3","first_page":"296","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9998999834060669,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9983000159263611,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9944000244140625,"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/solver","display_name":"Solver","score":0.6924954056739807},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6152305006980896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.612879753112793},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5545472502708435},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5261527895927429},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48765623569488525},{"id":"https://openalex.org/keywords/pooling","display_name":"Pooling","score":0.47857216000556946},{"id":"https://openalex.org/keywords/mnist-database","display_name":"MNIST database","score":0.4767875671386719},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4617958068847656},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.45779165625572205},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4466966986656189},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4278159439563751},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.42037859559059143},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4102843403816223},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3747466802597046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3507787883281708},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.264665424823761},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12599247694015503},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10889580845832825}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6924954056739807},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6152305006980896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.612879753112793},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5545472502708435},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5261527895927429},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48765623569488525},{"id":"https://openalex.org/C70437156","wikidata":"https://www.wikidata.org/wiki/Q7228652","display_name":"Pooling","level":2,"score":0.47857216000556946},{"id":"https://openalex.org/C190502265","wikidata":"https://www.wikidata.org/wiki/Q17069496","display_name":"MNIST database","level":3,"score":0.4767875671386719},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4617958068847656},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.45779165625572205},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4466966986656189},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4278159439563751},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.42037859559059143},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4102843403816223},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3747466802597046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3507787883281708},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.264665424823761},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12599247694015503},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10889580845832825},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10601-018-9285-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-018-9285-6","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:www.research.unipd.it:11577/3280320","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3280320","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":[],"awards":[{"id":"https://openalex.org/G5641882233","display_name":null,"funder_award_id":"ICT15-014","funder_id":"https://openalex.org/F4320321003","funder_display_name":"Vienna Science and Technology Fund"}],"funders":[{"id":"https://openalex.org/F4320321003","display_name":"Vienna Science and Technology Fund","ror":"https://ror.org/01f9mc681"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320330273","display_name":"Institut de Valorisation des Donn\u00e9es","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1665214252","https://openalex.org/W1673923490","https://openalex.org/W1974166590","https://openalex.org/W2036915635","https://openalex.org/W2112796928","https://openalex.org/W2136931788","https://openalex.org/W2345492474","https://openalex.org/W2557283755","https://openalex.org/W2618530766","https://openalex.org/W2767609493","https://openalex.org/W2768915615","https://openalex.org/W2963600714","https://openalex.org/W4232585008","https://openalex.org/W6637162671","https://openalex.org/W6730267373","https://openalex.org/W6736834210"],"related_works":["https://openalex.org/W4386603768","https://openalex.org/W2950475743","https://openalex.org/W2886711096","https://openalex.org/W2750384547","https://openalex.org/W4380078352","https://openalex.org/W3046591097","https://openalex.org/W4389249638","https://openalex.org/W2733410219","https://openalex.org/W2734358244","https://openalex.org/W4388700941"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":13},{"year":2025,"cited_by_count":41},{"year":2024,"cited_by_count":42},{"year":2023,"cited_by_count":41},{"year":2022,"cited_by_count":33},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":32},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-27T09:02:27.158192","created_date":"2025-10-10T00:00:00"}