{"id":"https://openalex.org/W3151921359","doi":"https://doi.org/10.1007/s00500-021-05758-6","title":"Polyhedral separation via difference of convex (DC) programming","display_name":"Polyhedral separation via difference of convex (DC) programming","publication_year":2021,"publication_date":"2021-04-07","ids":{"openalex":"https://openalex.org/W3151921359","doi":"https://doi.org/10.1007/s00500-021-05758-6","mag":"3151921359"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-021-05758-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-021-05758-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-021-05758-6.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00500-021-05758-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030206906","display_name":"Annabella Astorino","orcid":"https://orcid.org/0000-0002-3439-180X"},"institutions":[{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Annabella Astorino","raw_affiliation_strings":["ICAR - National Research Council, Rende, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICAR - National Research Council, Rende, Italy","institution_ids":["https://openalex.org/I4210155236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070913998","display_name":"Massimo Di Francesco","orcid":"https://orcid.org/0000-0002-3861-9664"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Massimo Di Francesco","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3861-9664","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087376257","display_name":"Manlio Gaudioso","orcid":"https://orcid.org/0000-0002-3022-7041"},"institutions":[{"id":"https://openalex.org/I4210155236","display_name":"National Research Council","ror":"https://ror.org/04zaypm56","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Manlio Gaudioso","raw_affiliation_strings":["ICAR - National Research Council, Rende, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ICAR - National Research Council, Rende, Italy","institution_ids":["https://openalex.org/I4210155236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066823715","display_name":"Enrico Gorgone","orcid":"https://orcid.org/0000-0001-5330-9931"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Enrico Gorgone","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057814942","display_name":"Benedetto Manca","orcid":"https://orcid.org/0000-0003-0209-0655"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Benedetto Manca","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5070913998"],"corresponding_institution_ids":["https://openalex.org/I172446870"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9799,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.80160112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"25","issue":"19","first_page":"12605","last_page":"12613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9890999794006348,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9890999794006348,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.97079998254776,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7847990989685059},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5910809636116028},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.590122640132904},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5617644786834717},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.5373846888542175},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.514588475227356},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4870498478412628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43331557512283325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4070138931274414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3789556622505188},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15257373452186584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06183135509490967}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7847990989685059},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5910809636116028},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.590122640132904},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5617644786834717},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.5373846888542175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.514588475227356},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4870498478412628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43331557512283325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4070138931274414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3789556622505188},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15257373452186584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06183135509490967},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00500-021-05758-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-021-05758-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-021-05758-6.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},{"id":"pmh:oai:iris.unica.it:11584/318544","is_oa":true,"landing_page_url":"http://hdl.handle.net/11584/318544","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00500-021-05758-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00500-021-05758-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00500-021-05758-6.pdf","source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313987","display_name":"Universit\u00e0 degli Studi di Cagliari","ror":"https://ror.org/003109y17"},{"id":"https://openalex.org/F4320315324","display_name":"Fondazione di Sardegna","ror":"https://ror.org/02sryfh37"},{"id":"https://openalex.org/F4320326069","display_name":"Regione Autonoma della Sardegna","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3151921359.pdf","grobid_xml":"https://content.openalex.org/works/W3151921359.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W92894758","https://openalex.org/W1479807131","https://openalex.org/W1481810791","https://openalex.org/W1563088657","https://openalex.org/W1569098853","https://openalex.org/W1604938182","https://openalex.org/W1976683215","https://openalex.org/W1986443316","https://openalex.org/W1988398932","https://openalex.org/W1990494141","https://openalex.org/W2014374971","https://openalex.org/W2022623999","https://openalex.org/W2024650813","https://openalex.org/W2044599089","https://openalex.org/W2051381803","https://openalex.org/W2052290961","https://openalex.org/W2073429525","https://openalex.org/W2102677843","https://openalex.org/W2129889866","https://openalex.org/W2153635508","https://openalex.org/W2156909104","https://openalex.org/W2186273234","https://openalex.org/W2189304361","https://openalex.org/W2253829587","https://openalex.org/W2343766162","https://openalex.org/W2415811790","https://openalex.org/W2507840378","https://openalex.org/W2561526916","https://openalex.org/W2626153413","https://openalex.org/W2754518108","https://openalex.org/W3046626379","https://openalex.org/W3127477151"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W4246352526","https://openalex.org/W2028665553","https://openalex.org/W4230315250","https://openalex.org/W2086519370","https://openalex.org/W3153752017"],"abstract_inverted_index":{"Abstract":[0],"We":[1,43,57],"consider":[2],"polyhedral":[3],"separation":[4],"of":[5,39,61,64,69],"sets":[6],"as":[7,55],"a":[8,67],"possible":[9],"tool":[10],"in":[11,37],"supervised":[12],"classification.":[13],"In":[14],"particular,":[15],"we":[16],"focus":[17],"on":[18,66],"the":[19,45,49,59,62],"optimization":[20],"model":[21],"introduced":[22],"by":[23,47],"Astorino":[24],"and":[25,33],"Gaudioso":[26],"(J":[27],"Optim":[28],"Theory":[29],"Appl":[30],"112(2):265\u2013293,":[31],"2002)":[32],"adopt":[34],"its":[35],"reformulation":[36],"difference":[38],"convex":[40],"(DC)":[41],"form.":[42],"tackle":[44],"problem":[46],"adapting":[48],"algorithm":[50],"for":[51],"DC":[52],"programming":[53],"known":[54],"DCA.":[56],"present":[58],"results":[60],"implementation":[63],"DCA":[65],"number":[68],"benchmark":[70],"classification":[71],"datasets.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
