{"id":"https://openalex.org/W2039510778","doi":"https://doi.org/10.1109/icpr.2014.754","title":"Finding the Largest Hypercavity in a Linear Data Space","display_name":"Finding the Largest Hypercavity in a Linear Data Space","publication_year":2014,"publication_date":"2014-08-01","ids":{"openalex":"https://openalex.org/W2039510778","doi":"https://doi.org/10.1109/icpr.2014.754","mag":"2039510778"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2014.754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2014.754","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 22nd International Conference on Pattern Recognition","raw_type":"proceedings-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/A5083145333","display_name":"\u0410\u043d\u043d\u0430 \u0413\u0443\u0431\u0430\u0440\u0435\u0432\u0430","orcid":"https://orcid.org/0000-0001-6322-9388"},"institutions":[{"id":"https://openalex.org/I127366699","display_name":"Tula State University","ror":"https://ror.org/05shr3z13","country_code":"RU","type":"education","lineage":["https://openalex.org/I127366699"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Anna Gubareva","raw_affiliation_strings":["Tula State University, Tula, Russia"],"affiliations":[{"raw_affiliation_string":"Tula State University, Tula, Russia","institution_ids":["https://openalex.org/I127366699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061928060","display_name":"Valentina Sulimova","orcid":"https://orcid.org/0000-0001-9673-3863"},"institutions":[{"id":"https://openalex.org/I127366699","display_name":"Tula State University","ror":"https://ror.org/05shr3z13","country_code":"RU","type":"education","lineage":["https://openalex.org/I127366699"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Valentina Sulimova","raw_affiliation_strings":["Tula State University, Tula, Russia"],"affiliations":[{"raw_affiliation_string":"Tula State University, Tula, Russia","institution_ids":["https://openalex.org/I127366699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045892613","display_name":"Oleg Seredin","orcid":"https://orcid.org/0000-0003-0410-7705"},"institutions":[{"id":"https://openalex.org/I127366699","display_name":"Tula State University","ror":"https://ror.org/05shr3z13","country_code":"RU","type":"education","lineage":["https://openalex.org/I127366699"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Oleg Seredin","raw_affiliation_strings":["Tula State University, Tula, Russia"],"affiliations":[{"raw_affiliation_string":"Tula State University, Tula, Russia","institution_ids":["https://openalex.org/I127366699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011377975","display_name":"Alexander Olegovich Larin","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Larin","raw_affiliation_strings":["Moscow Institute of Physics and Technology Moscow, Russia","Moscow Inst. of Phys. & Technol., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Moscow Inst. of Phys. & Technol., Moscow, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001899065","display_name":"Vadim Mottl","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vadim Mottl","raw_affiliation_strings":["Moscow Institute of Physics and Technology Moscow, Russia","Moscow Inst. of Phys. & Technol., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]},{"raw_affiliation_string":"Moscow Inst. of Phys. & Technol., Moscow, Russia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5083145333"],"corresponding_institution_ids":["https://openalex.org/I127366699"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08300693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":null,"first_page":"4406","last_page":"4410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9922000169754028,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9922000169754028,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9570000171661377,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6792559623718262},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6588887572288513},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5278931856155396},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.526171088218689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48033347725868225},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.4755555987358093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46655648946762085},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.4469550549983978},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43963879346847534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40319114923477173},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33920273184776306},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21958860754966736}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6792559623718262},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6588887572288513},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5278931856155396},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.526171088218689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48033347725868225},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.4755555987358093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46655648946762085},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.4469550549983978},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43963879346847534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40319114923477173},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33920273184776306},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21958860754966736},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icpr.2014.754","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2014.754","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 22nd International Conference on Pattern Recognition","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W568124517","https://openalex.org/W1508578292","https://openalex.org/W1526146785","https://openalex.org/W1542652324","https://openalex.org/W1969913434","https://openalex.org/W2014158063","https://openalex.org/W2020133691","https://openalex.org/W2097936772","https://openalex.org/W2137672177","https://openalex.org/W2138705351","https://openalex.org/W2145633829","https://openalex.org/W2150174329","https://openalex.org/W2154904851","https://openalex.org/W2168029744","https://openalex.org/W2301746362","https://openalex.org/W2500887614","https://openalex.org/W2594395453","https://openalex.org/W3101749733","https://openalex.org/W4285719527","https://openalex.org/W6616138377","https://openalex.org/W6724172475"],"related_works":["https://openalex.org/W1667647204","https://openalex.org/W2404647514","https://openalex.org/W4247536566","https://openalex.org/W4241418540","https://openalex.org/W2018477250","https://openalex.org/W3119814709","https://openalex.org/W1508895727","https://openalex.org/W2725786787","https://openalex.org/W4292523377","https://openalex.org/W4221148499"],"abstract_inverted_index":{"This":[0,24],"paper":[1],"proposes":[2],"a":[3,6,13,17,30,36,42,47,72,89,98],"definition":[4],"and":[5,40,93],"solution":[7],"of":[8,11,21,64,75,79,105],"the":[9,53,59,62,65,106],"problem":[10,25,32],"finding":[12],"hyper":[14,19,66],"cavity":[15],"as":[16,29,57,71],"data-free":[18],"sphere":[20,67],"maximum":[22],"radius.":[23],"is":[26,68],"formulated":[27],"here":[28],"multiextremal":[31],"under":[33],"constraints":[34],"in":[35,41,58,88],"linear":[37,43,73],"feature":[38,91],"space":[39,44,92],"produced":[45],"by":[46],"kernel":[48],"function.":[49],"In":[50],"accordance":[51],"with":[52,85,94],"proposed":[54],"approach,":[55],"just":[56],"one-class":[60],"SVM,":[61],"center":[63],"sought":[69],"for":[70],"combination":[74],"some":[76],"small":[77],"quantity":[78],"so":[80],"called":[81],"\"support\"":[82],"objects.":[83],"Experiments":[84],"smulated":[86],"points":[87],"2-dimensional":[90],"symbolic":[95],"sequences":[96],"modeling":[97],"global":[99],"evolutionary":[100],"process":[101],"have":[102],"demonstrated":[103],"correctness":[104],"obtained":[107],"solution.":[108]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}