{"id":"https://openalex.org/W195393342","doi":"https://doi.org/10.1007/978-3-642-29350-4_13","title":"Sample Complexity of Linear Learning Machines with Different Restrictions over Weights","display_name":"Sample Complexity of Linear Learning Machines with Different Restrictions over Weights","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W195393342","doi":"https://doi.org/10.1007/978-3-642-29350-4_13","mag":"195393342"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-29350-4_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-29350-4_13","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/A5056609455","display_name":"Marcin Korze\u0144","orcid":"https://orcid.org/0000-0002-1306-7146"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin Korze\u0144","raw_affiliation_strings":["Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, ul. \u017bo\u0142nierska 49, 71-210, Szczecin, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, ul. \u017bo\u0142nierska 49, 71-210, Szczecin, Poland","institution_ids":["https://openalex.org/I155313962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009725519","display_name":"Przemys\u0142aw Kl\u0119sk","orcid":"https://orcid.org/0000-0002-5579-187X"},"institutions":[{"id":"https://openalex.org/I155313962","display_name":"West Pomeranian University of Technology","ror":"https://ror.org/0596m7f19","country_code":"PL","type":"education","lineage":["https://openalex.org/I155313962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Przemys\u0142aw Kl\u0119sk","raw_affiliation_strings":["Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, ul. \u017bo\u0142nierska 49, 71-210, Szczecin, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, ul. \u017bo\u0142nierska 49, 71-210, Szczecin, Poland","institution_ids":["https://openalex.org/I155313962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056609455"],"corresponding_institution_ids":["https://openalex.org/I155313962"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10972843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"111","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9939000010490417,"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/T10320","display_name":"Neural Networks and Applications","score":0.9939000010490417,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9919999837875366,"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/T12676","display_name":"Machine Learning and ELM","score":0.9897000193595886,"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/vc-dimension","display_name":"VC dimension","score":0.8685410022735596},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7955017685890198},{"id":"https://openalex.org/keywords/sample-complexity","display_name":"Sample complexity","score":0.7356417775154114},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7294631004333496},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7084168791770935},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.6751229763031006},{"id":"https://openalex.org/keywords/probably-approximately-correct-learning","display_name":"Probably approximately correct learning","score":0.5288136005401611},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.47076037526130676},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.46946966648101807},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43858981132507324},{"id":"https://openalex.org/keywords/generalization-error","display_name":"Generalization error","score":0.4356295168399811},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42251765727996826},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.42019689083099365},{"id":"https://openalex.org/keywords/computational-learning-theory","display_name":"Computational learning theory","score":0.360168993473053},{"id":"https://openalex.org/keywords/active-learning","display_name":"Active learning (machine learning)","score":0.2661494016647339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2387198507785797},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.18077543377876282},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1602303385734558},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06503820419311523}],"concepts":[{"id":"https://openalex.org/C119322782","wikidata":"https://www.wikidata.org/wiki/Q2662236","display_name":"VC dimension","level":2,"score":0.8685410022735596},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7955017685890198},{"id":"https://openalex.org/C2778445095","wikidata":"https://www.wikidata.org/wiki/Q18354077","display_name":"Sample complexity","level":2,"score":0.7356417775154114},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7294631004333496},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7084168791770935},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.6751229763031006},{"id":"https://openalex.org/C176248197","wikidata":"https://www.wikidata.org/wiki/Q458526","display_name":"Probably approximately correct learning","level":4,"score":0.5288136005401611},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47076037526130676},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.46946966648101807},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43858981132507324},{"id":"https://openalex.org/C117765406","wikidata":"https://www.wikidata.org/wiki/Q5362437","display_name":"Generalization error","level":3,"score":0.4356295168399811},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42251765727996826},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.42019689083099365},{"id":"https://openalex.org/C50292564","wikidata":"https://www.wikidata.org/wiki/Q2462783","display_name":"Computational learning theory","level":3,"score":0.360168993473053},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.2661494016647339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2387198507785797},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.18077543377876282},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1602303385734558},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06503820419311523},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-29350-4_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-29350-4_13","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1519789693","https://openalex.org/W1542886316","https://openalex.org/W1554944419","https://openalex.org/W1761022139","https://openalex.org/W1976354615","https://openalex.org/W2004915807","https://openalex.org/W2011873184","https://openalex.org/W2063978378","https://openalex.org/W2122825543","https://openalex.org/W2135046866","https://openalex.org/W2139212933","https://openalex.org/W2144073719","https://openalex.org/W2148603752","https://openalex.org/W2148972654","https://openalex.org/W2153635508","https://openalex.org/W2158019970","https://openalex.org/W2181470043","https://openalex.org/W2579923771","https://openalex.org/W2787894218","https://openalex.org/W2951870768","https://openalex.org/W3124546987","https://openalex.org/W3140968660","https://openalex.org/W3193477162","https://openalex.org/W4249716558","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2150509975","https://openalex.org/W1494863055","https://openalex.org/W2005482365","https://openalex.org/W4385261314","https://openalex.org/W195393342","https://openalex.org/W2972514247","https://openalex.org/W4320855563","https://openalex.org/W1966196663","https://openalex.org/W2741850692","https://openalex.org/W3027494763"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}