{"id":"https://openalex.org/W2621643135","doi":"https://doi.org/10.1109/tsmc.2017.2694321","title":"Large-Scale Minimal Complexity Machines Using Explicit Feature Maps","display_name":"Large-Scale Minimal Complexity Machines Using Explicit Feature Maps","publication_year":2017,"publication_date":"2017-06-07","ids":{"openalex":"https://openalex.org/W2621643135","doi":"https://doi.org/10.1109/tsmc.2017.2694321","mag":"2621643135"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2017.2694321","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2017.2694321","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-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/A5100734233","display_name":"Mayank Sharma","orcid":"https://orcid.org/0000-0003-3137-9845"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mayank Sharma","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002842122","display_name":"Jayadeva","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jayadeva","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083371463","display_name":"Sumit Soman","orcid":"https://orcid.org/0000-0003-1926-3065"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sumit Soman","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101660952","display_name":"Himanshu Pant","orcid":"https://orcid.org/0000-0003-4617-296X"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Himanshu Pant","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100734233"],"corresponding_institution_ids":["https://openalex.org/I68891433"],"apc_list":null,"apc_paid":null,"fwci":1.2472,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84929627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"47","issue":"10","first_page":"2653","last_page":"2662"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12676","display_name":"Machine Learning and ELM","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9994000196456909,"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/hyperplane","display_name":"Hyperplane","score":0.7193021774291992},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6704949140548706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.641440749168396},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.6213553547859192},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5598541498184204},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.5485119223594666},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5394654273986816},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5209614038467407},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.5189511775970459},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.5099138021469116},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5089545249938965},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5070822238922119},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4596386253833771},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4368343651294708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39322710037231445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38503319025039673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2857566177845001},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.24264368414878845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12116429209709167},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.0893625020980835},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07507634162902832}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7193021774291992},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6704949140548706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.641440749168396},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.6213553547859192},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5598541498184204},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.5485119223594666},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5394654273986816},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5209614038467407},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.5189511775970459},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.5099138021469116},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5089545249938965},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5070822238922119},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4596386253833771},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4368343651294708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39322710037231445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38503319025039673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2857566177845001},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.24264368414878845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12116429209709167},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0893625020980835},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07507634162902832},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2017.2694321","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2017.2694321","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8335137360","display_name":null,"funder_award_id":"MI01158","funder_id":"https://openalex.org/F4320324473","funder_display_name":"Indian Institute of Technology Delhi"}],"funders":[{"id":"https://openalex.org/F4320324473","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":87,"referenced_works":["https://openalex.org/W100681775","https://openalex.org/W175700287","https://openalex.org/W569770330","https://openalex.org/W1167991212","https://openalex.org/W1506806321","https://openalex.org/W1526741802","https://openalex.org/W1540155273","https://openalex.org/W1551209770","https://openalex.org/W1628991974","https://openalex.org/W1680208495","https://openalex.org/W1965788850","https://openalex.org/W1972978214","https://openalex.org/W1974828111","https://openalex.org/W1982150766","https://openalex.org/W1984599636","https://openalex.org/W1986187360","https://openalex.org/W1989902617","https://openalex.org/W2027393881","https://openalex.org/W2035720976","https://openalex.org/W2048822625","https://openalex.org/W2055233384","https://openalex.org/W2074086293","https://openalex.org/W2101234009","https://openalex.org/W2101674911","https://openalex.org/W2103956991","https://openalex.org/W2105867876","https://openalex.org/W2107791152","https://openalex.org/W2108807072","https://openalex.org/W2112545207","https://openalex.org/W2115975329","https://openalex.org/W2116173306","https://openalex.org/W2118585731","https://openalex.org/W2128097790","https://openalex.org/W2128529555","https://openalex.org/W2135106139","https://openalex.org/W2137524191","https://openalex.org/W2137557016","https://openalex.org/W2139212933","https://openalex.org/W2142623206","https://openalex.org/W2144902422","https://openalex.org/W2145763471","https://openalex.org/W2147898188","https://openalex.org/W2151040995","https://openalex.org/W2153635508","https://openalex.org/W2155319834","https://openalex.org/W2157791002","https://openalex.org/W2159350554","https://openalex.org/W2159737176","https://openalex.org/W2165966284","https://openalex.org/W2169393334","https://openalex.org/W2171602483","https://openalex.org/W2171792531","https://openalex.org/W2189508540","https://openalex.org/W2248555515","https://openalex.org/W2275636546","https://openalex.org/W2345091845","https://openalex.org/W2404062328","https://openalex.org/W2538419421","https://openalex.org/W2546945975","https://openalex.org/W2580866534","https://openalex.org/W2588422783","https://openalex.org/W2951908810","https://openalex.org/W2963013450","https://openalex.org/W2963173208","https://openalex.org/W3004533406","https://openalex.org/W4212863985","https://openalex.org/W4249027838","https://openalex.org/W4254721730","https://openalex.org/W4312960235","https://openalex.org/W6616109796","https://openalex.org/W6632758585","https://openalex.org/W6675354045","https://openalex.org/W6676485797","https://openalex.org/W6677346259","https://openalex.org/W6677656871","https://openalex.org/W6679179291","https://openalex.org/W6680272842","https://openalex.org/W6680634009","https://openalex.org/W6681302627","https://openalex.org/W6681439488","https://openalex.org/W6682953061","https://openalex.org/W6683152347","https://openalex.org/W6684607807","https://openalex.org/W6685152693","https://openalex.org/W6685267747","https://openalex.org/W6691172266","https://openalex.org/W6728903214"],"related_works":["https://openalex.org/W1964604696","https://openalex.org/W2056283567","https://openalex.org/W1565299197","https://openalex.org/W2088032561","https://openalex.org/W2542234468","https://openalex.org/W2544132760","https://openalex.org/W206259832","https://openalex.org/W2376437597","https://openalex.org/W2152658175","https://openalex.org/W2892571874"],"abstract_inverted_index":{"Minimal":[0],"complexity":[1],"machines":[2],"(MCMs)":[3],"are":[4],"a":[5,14,32,84],"class":[6],"of":[7,71,105,112],"hyperplane":[8],"classifiers":[9],"that":[10],"try":[11],"to":[12,43,50,57,108],"minimize":[13],"tight":[15],"bound":[16],"on":[17,75],"the":[18,27,38,76,94,106,110,113],"Vapnik-Chervonenkis":[19],"dimension.":[20],"MCMs":[21,41],"can":[22],"be":[23],"used":[24],"both":[25],"in":[26,31,48,69],"input":[28],"space":[29,36],"and":[30,73],"higher":[33],"dimensional":[34],"feature":[35,102],"via":[37],"kernel":[39,77],"trick.":[40],"tend":[42],"produce":[44],"very":[45],"sparse":[46],"solutions":[47],"comparison":[49],"support":[51,61],"vector":[52],"machines,":[53],"often":[54],"using":[55],"three":[56],"ten":[58],"times":[59],"fewer":[60],"vectors.":[62],"However,":[63],"large":[64],"datasets":[65],"present":[66,83],"significant":[67],"challenges":[68],"terms":[70],"storage":[72],"operations":[74],"matrix.":[78],"In":[79],"this":[80],"paper,":[81],"we":[82],"stochastic":[85],"subgradient":[86],"descent":[87],"solver":[88],"for":[89],"large-scale":[90],"machine":[91],"learning":[92],"with":[93],"MCM.":[95],"The":[96],"proposed":[97],"approach":[98],"uses":[99],"an":[100],"explicit":[101],"map-based":[103],"approximation":[104],"kernel,":[107],"improve":[109],"scalability":[111],"algorithm.":[114]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}