{"id":"https://openalex.org/W2883516630","doi":"https://doi.org/10.1007/978-3-319-97136-0_9","title":"Investigating Convergence of Linear SVM Implemented in PermonSVM Employing MPRGP Algorithm","display_name":"Investigating Convergence of Linear SVM Implemented in PermonSVM Employing MPRGP Algorithm","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2883516630","doi":"https://doi.org/10.1007/978-3-319-97136-0_9","mag":"2883516630"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-97136-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-97136-0_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5052455594","display_name":"Jakub Kru\u017e\u00edk","orcid":"https://orcid.org/0000-0001-5448-837X"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jakub Kru\u017e\u00edk","raw_affiliation_strings":["IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Institute of Geonics CAS, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics CAS, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051169311","display_name":"Marek Pecha","orcid":null},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Marek Pecha","raw_affiliation_strings":["Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Institute of Geonics CAS, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics CAS, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022351932","display_name":"V\u00e1clav Hapla","orcid":"https://orcid.org/0000-0002-9190-2207"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH","CZ"],"is_corresponding":false,"raw_author_name":"V\u00e1clav Hapla","raw_affiliation_strings":["Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Department of Earth Sciences, ETH Zurich, Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Department of Earth Sciences, ETH Zurich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010762974","display_name":"David Hor\u00e1k","orcid":"https://orcid.org/0000-0001-8825-1944"},"institutions":[{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]},{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"David Hor\u00e1k","raw_affiliation_strings":["Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Institute of Geonics CAS, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics CAS, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085647935","display_name":"Martin \u010cerm\u00e1k","orcid":"https://orcid.org/0000-0002-0171-625X"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Martin \u010cerm\u00e1k","raw_affiliation_strings":["Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","ENET Centre, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","Institute of Geonics CAS, Ostrava, Czech Republic","VSB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"ENET Centre, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"IT4Innovations National Supercomputing Center, V\u0160B - Technical University of Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics CAS, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]},{"raw_affiliation_string":"VSB - Technical University of Ostrava, Ostrava-Poruba, Czech Republic","institution_ids":["https://openalex.org/I142208455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052455594"],"corresponding_institution_ids":["https://openalex.org/I142208455","https://openalex.org/I4210112637"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3594,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84529372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9995999932289124,"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/T12676","display_name":"Machine Learning and ELM","score":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9994999766349792,"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/T10057","display_name":"Face and Expression Recognition","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7857067584991455},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7160904407501221},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6372184157371521},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6023457646369934},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5816347599029541},{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.5477896332740784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5037373900413513},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5031868815422058},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4844960868358612},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4805065393447876},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38003721833229065},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28441375494003296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.250265896320343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1593494713306427},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07278677821159363}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7857067584991455},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7160904407501221},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6372184157371521},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6023457646369934},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5816347599029541},{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.5477896332740784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5037373900413513},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5031868815422058},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4844960868358612},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4805065393447876},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38003721833229065},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28441375494003296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.250265896320343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1593494713306427},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07278677821159363},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-97136-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-97136-0_9","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W71585271","https://openalex.org/W600570876","https://openalex.org/W631930523","https://openalex.org/W1934946603","https://openalex.org/W2024968541","https://openalex.org/W2102794349","https://openalex.org/W2119821739","https://openalex.org/W2121990650","https://openalex.org/W2173259274","https://openalex.org/W4232878820","https://openalex.org/W4233518571"],"related_works":["https://openalex.org/W4205140848","https://openalex.org/W2068663075","https://openalex.org/W2369655046","https://openalex.org/W2978678743","https://openalex.org/W2797837731","https://openalex.org/W2019467317","https://openalex.org/W2150344375","https://openalex.org/W829257147","https://openalex.org/W3081389670","https://openalex.org/W4390832911"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}