{"id":"https://openalex.org/W3036136350","doi":"https://doi.org/10.1109/tcyb.2020.2997686","title":"Memristor Neural Networks for Linear and Quadratic Programming Problems","display_name":"Memristor Neural Networks for Linear and Quadratic Programming Problems","publication_year":2020,"publication_date":"2020-06-19","ids":{"openalex":"https://openalex.org/W3036136350","doi":"https://doi.org/10.1109/tcyb.2020.2997686","mag":"3036136350","pmid":"https://pubmed.ncbi.nlm.nih.gov/32559170"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2997686","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2997686","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9733099/09121721.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/6221036/9733099/09121721.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080374992","display_name":"Mauro Di Marco","orcid":"https://orcid.org/0000-0002-0013-9112"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Di Marco","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0013-9112","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069809502","display_name":"Mauro Forti","orcid":"https://orcid.org/0000-0002-3970-7201"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Forti","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3970-7201","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003092391","display_name":"Luca Pancioni","orcid":"https://orcid.org/0000-0002-2502-9542"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Pancioni","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078497169","display_name":"Giacomo Innocenti","orcid":"https://orcid.org/0000-0002-2110-826X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giacomo Innocenti","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2110-826X","affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074942219","display_name":"A. Tesi","orcid":"https://orcid.org/0000-0002-0234-5999"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alberto Tesi","raw_affiliation_strings":["Department of Information Engineering, University of Florence, Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, University of Florence, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3839,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.80119742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"3","first_page":"1822","last_page":"1835"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9927999973297119,"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/memristor","display_name":"Memristor","score":0.6465181708335876},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6325064897537231},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5730310082435608},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4861461818218231},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4794023036956787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4638744592666626},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3493582308292389},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34544676542282104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3063310384750366},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2675406336784363},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16541951894760132},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.14816921949386597}],"concepts":[{"id":"https://openalex.org/C150072547","wikidata":"https://www.wikidata.org/wiki/Q212923","display_name":"Memristor","level":2,"score":0.6465181708335876},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6325064897537231},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5730310082435608},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4861461818218231},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4794023036956787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4638744592666626},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3493582308292389},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34544676542282104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3063310384750366},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2675406336784363},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16541951894760132},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.14816921949386597},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":5,"locations":[{"id":"doi:10.1109/tcyb.2020.2997686","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2997686","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9733099/09121721.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:32559170","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32559170","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null},{"id":"pmh:oai:flore.unifi.it:2158/1212149","is_oa":true,"landing_page_url":"https://hdl.handle.net/2158/1212149","pdf_url":"https://flore.unifi.it/bitstream/2158/1212149/10/TC_2022.pdf","source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1112445","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1112445","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1206270","is_oa":true,"landing_page_url":"http://hdl.handle.net/11365/1206270","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/tcyb.2020.2997686","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2997686","pdf_url":"https://ieeexplore.ieee.org/ielx7/6221036/9733099/09121721.pdf","source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1010554373","display_name":null,"funder_award_id":"2017LSCR4K\u2010003","funder_id":"https://openalex.org/F4320331528","funder_display_name":"Ministero dell'Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320331528","display_name":"Ministero dell'Universit\u00e0 e della Ricerca","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3036136350.pdf","grobid_xml":"https://content.openalex.org/works/W3036136350.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W1514218977","https://openalex.org/W1551360398","https://openalex.org/W1970974872","https://openalex.org/W1973079268","https://openalex.org/W1982157348","https://openalex.org/W1988901237","https://openalex.org/W1993522825","https://openalex.org/W2010709227","https://openalex.org/W2015465506","https://openalex.org/W2027453964","https://openalex.org/W2030167969","https://openalex.org/W2036207080","https://openalex.org/W2038569833","https://openalex.org/W2040294576","https://openalex.org/W2056261923","https://openalex.org/W2062194437","https://openalex.org/W2071711699","https://openalex.org/W2080625874","https://openalex.org/W2097113878","https://openalex.org/W2102227134","https://openalex.org/W2106620460","https://openalex.org/W2108186760","https://openalex.org/W2108658536","https://openalex.org/W2112181056","https://openalex.org/W2114307990","https://openalex.org/W2114623221","https://openalex.org/W2115953260","https://openalex.org/W2116897603","https://openalex.org/W2128084896","https://openalex.org/W2134369405","https://openalex.org/W2142348943","https://openalex.org/W2150872461","https://openalex.org/W2151048250","https://openalex.org/W2156278464","https://openalex.org/W2157708786","https://openalex.org/W2157976960","https://openalex.org/W2160121923","https://openalex.org/W2162271322","https://openalex.org/W2162651880","https://openalex.org/W2169273485","https://openalex.org/W2242049308","https://openalex.org/W2254450385","https://openalex.org/W2306429512","https://openalex.org/W2344878508","https://openalex.org/W2501582773","https://openalex.org/W2503190914","https://openalex.org/W2510211160","https://openalex.org/W2532666972","https://openalex.org/W2568772110","https://openalex.org/W2573602455","https://openalex.org/W2592260377","https://openalex.org/W2605047942","https://openalex.org/W2605887261","https://openalex.org/W2612054959","https://openalex.org/W2752233686","https://openalex.org/W2778935320","https://openalex.org/W2783053830","https://openalex.org/W2789369557","https://openalex.org/W2796865093","https://openalex.org/W2805362231","https://openalex.org/W2806177657","https://openalex.org/W2810068957","https://openalex.org/W2887090061","https://openalex.org/W2932983590","https://openalex.org/W3104804488","https://openalex.org/W3210839039","https://openalex.org/W4210718478","https://openalex.org/W4235522894","https://openalex.org/W4251507077"],"related_works":["https://openalex.org/W4229452466","https://openalex.org/W2966276069","https://openalex.org/W3036464408","https://openalex.org/W2020990755","https://openalex.org/W2377851227","https://openalex.org/W4293088966","https://openalex.org/W2366868484","https://openalex.org/W2917463375","https://openalex.org/W2155219672","https://openalex.org/W2895393216"],"abstract_inverted_index":{"This":[0,111],"article":[1],"introduces":[2],"a":[3,33,60,80,203,209],"new":[4],"class":[5],"of":[6,35,49,59,69,92,117,177,184,208],"memristor":[7,28,186,196],"neural":[8],"networks":[9],"(NNs)":[10],"for":[11,42,55,71,126,146],"solving,":[12],"in":[13,100,106,132,141,151,171,189,202],"real-time,":[14],"quadratic":[15],"programming":[16,20,29],"(QP)":[17],"and":[18,45,65,73,128],"linear":[19],"(LP)":[21],"problems.":[22],"The":[23,62],"networks,":[24],"which":[25],"are":[26,76],"called":[27,84],"NNs":[30,125],"(MPNNs),":[31],"use":[32],"set":[34,48],"filamentary-type":[36],"memristors":[37,50,118],"with":[38,51,173],"sharp":[39],"memristance":[40,53],"transitions":[41,54],"constraint":[43],"satisfaction":[44],"an":[46,152,168],"additional":[47],"smooth":[52],"memorizing":[56],"the":[57,85,96,101,107,114,123,133,142,161,174,182,185,190,194,206],"result":[58,207],"computation.":[61,210],"nonlinear":[63],"dynamics":[64],"global":[66],"optimization":[67],"capabilities":[68],"MPNNs":[70,93],"QP":[72,127],"LP":[74,129],"problems":[75,130],"thoroughly":[77],"investigated":[78],"via":[79],"recently":[81],"introduced":[82],"technique":[83],"flux-charge":[86,102,143],"analysis":[87],"method.":[88],"One":[89,136],"main":[90],"feature":[91],"is":[94,98,138,165,187,197],"that":[95,139,180],"processing":[97],"performed":[99],"domain":[103,144],"rather":[104],"than":[105],"conventional":[108],"voltage-current":[109,134],"domain.":[110,135],"enables":[112],"exploiting":[113],"unconventional":[115],"features":[116],"to":[119,200],"obtain":[120],"advantages":[121],"over":[122],"traditional":[124],"operating":[131,140],"advantage":[137],"allows":[145],"reduced":[147],"power":[148,158],"consumption,":[149],"since":[150],"MPNN,":[153],"voltages,":[154],"currents,":[155],"and,":[156],"hence,":[157],"vanish":[159],"when":[160],"quick":[162],"analog":[163],"transient":[164],"over.":[166],"Moreover,":[167],"MPNN":[169],"works":[170],"accordance":[172],"fundamental":[175],"principle":[176],"in-memory":[178],"computing,":[179],"is,":[181],"nonlinearity":[183],"used":[188,199],"dynamic":[191],"computation,":[192],"but":[193],"same":[195],"also":[198],"memorize":[201],"nonvolatile":[204],"way":[205]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
