{"id":"https://openalex.org/W3205376702","doi":null,"title":"Deep kernel machines and fast solvers for deep kernel machines","display_name":"Deep kernel machines and fast solvers for deep kernel machines","publication_year":2021,"publication_date":"2021-08-30","ids":{"openalex":"https://openalex.org/W3205376702","mag":"3205376702"},"language":"en","primary_location":{"id":"mag:3205376702","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2108.13097.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2108.13097.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062539506","display_name":"Laurence Aitchison","orcid":"https://orcid.org/0000-0003-3681-4607","observed_orcids":["https://orcid.org/0000-0003-3681-4607"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Laurence Aitchison","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3681-4607","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5062539506"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.4758000075817108,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.4758000075817108,"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":0.30320000648498535,"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":0.093299999833107,"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/fast-solvers","display_name":"fast solvers","score":0.7540000081062317},{"id":"https://openalex.org/keywords/matrix-solvers","display_name":"matrix solvers","score":0.7649999856948853},{"id":"https://openalex.org/keywords/control-theory","display_name":"control theory","score":0.7059999704360962},{"id":"https://openalex.org/keywords/kernel-methods","display_name":"kernel methods","score":0.39399999380111694}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7138350009918213},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.7006462216377258},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5572051405906677},{"id":"https://openalex.org/C140417398","wikidata":"https://www.wikidata.org/wiki/Q16933942","display_name":"Tree kernel","level":5,"score":0.534477949142456},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5200971364974976},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.49564898014068604},{"id":"https://openalex.org/C75866337","wikidata":"https://www.wikidata.org/wiki/Q7280263","display_name":"Radial basis function kernel","level":4,"score":0.47586387395858765},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4712812304496765},{"id":"https://openalex.org/C160446489","wikidata":"https://www.wikidata.org/wiki/Q7226642","display_name":"Polynomial kernel","level":4,"score":0.42934197187423706},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3274343013763428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16436445713043213},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.12781891226768494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.05392900109291077},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3205376702","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2108.13097.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3205376702","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2108.13097.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W582134693","https://openalex.org/W824892955","https://openalex.org/W1510073064","https://openalex.org/W1560724230","https://openalex.org/W1600349401","https://openalex.org/W2007551061","https://openalex.org/W2018381203","https://openalex.org/W2037025184","https://openalex.org/W2072145805","https://openalex.org/W2130283669","https://openalex.org/W2163605009","https://openalex.org/W2167608136","https://openalex.org/W2168029744","https://openalex.org/W2962875063","https://openalex.org/W2964135722","https://openalex.org/W3035679810","https://openalex.org/W3040620603","https://openalex.org/W3099811568","https://openalex.org/W3131195611","https://openalex.org/W3168814424"],"related_works":["https://openalex.org/W3198884135","https://openalex.org/W2964211601","https://openalex.org/W3011610555","https://openalex.org/W2798519620","https://openalex.org/W2167608136","https://openalex.org/W3099811568","https://openalex.org/W2903909270","https://openalex.org/W4386876171","https://openalex.org/W2555644073","https://openalex.org/W2803108067"],"abstract_inverted_index":{"Deep":[0],"neural":[1],"networks":[2],"(DNNs)":[3],"with":[4],"the":[5,28,34,45,65,74,92,112],"flexibility":[6],"to":[7,26,81,110],"learn":[8],"good":[9],"top-layer":[10],"representations":[11],"have":[12],"eclipsed":[13],"shallow":[14],"kernel":[15,32,36,51,86,108],"methods":[16],"without":[17],"that":[18,53,98],"flexibility.":[19],"Here,":[20],"we":[21,40,96],"take":[22],"inspiration":[23],"from":[24],"DNNs":[25],"develop":[27,41],"first":[29],"non-Bayesian":[30],"deep":[31,35,50,85,107,122],"method,":[33],"machine.":[37],"In":[38],"addition,":[39],"a":[42,115],"solver":[43],"for":[44],"intermediate":[46],"layer":[47],"kernels":[48],"in":[49,55,64,91,103],"machines":[52,87,109],"converges":[54],"around":[56],"10":[57],"steps,":[58],"exploiting":[59],"matrix":[60],"solvers":[61],"initially":[62],"developed":[63],"control":[66],"theory":[67],"literature.":[68],"These":[69],"are":[70],"many":[71],"times":[72],"faster":[73],"usual":[75],"gradient":[76],"descent":[77],"approach":[78],"and":[79],"generalise":[80],"arbitrary":[82],"architectures.":[83],"While":[84],"currently":[88],"scale":[89],"poorly":[90],"number":[93],"of":[94,114,118],"datapoints,":[95],"believe":[97],"this":[99],"can":[100],"be":[101],"rectified":[102],"future":[104],"work,":[105],"allowing":[106],"form":[111],"basis":[113],"new":[116],"class":[117],"much":[119],"more":[120],"efficient":[121],"nonlinear":[123],"function":[124],"approximators.":[125]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-10-25T00:00:00"}
