{"id":"https://openalex.org/W2022874901","doi":"https://doi.org/10.1145/2807591.2807647","title":"A kernel-independent FMM in general dimensions","display_name":"A kernel-independent FMM in general dimensions","publication_year":2015,"publication_date":"2015-10-27","ids":{"openalex":"https://openalex.org/W2022874901","doi":"https://doi.org/10.1145/2807591.2807647","mag":"2022874901"},"language":"en","primary_location":{"id":"doi:10.1145/2807591.2807647","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2807591.2807647","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=2807647&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://dl.acm.org/ft_gateway.cfm?id=2807647&type=pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077464013","display_name":"William B. March","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William B. March","raw_affiliation_strings":["The University of Texas, Austin, TX","The University of Texas, Austin, Tx"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, Austin, Tx","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100771377","display_name":"Bo Xiao","orcid":"https://orcid.org/0000-0003-3392-3293"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bo Xiao","raw_affiliation_strings":["The University of Texas, Austin, TX","The University of Texas, Austin, Tx"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, Austin, Tx","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056070700","display_name":"Sameer Tharakan","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sameer Tharakan","raw_affiliation_strings":["The University of Texas, Austin, TX","The University of Texas, Austin, Tx"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, Austin, Tx","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102334657","display_name":"Chenhan D. Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenhan D. Yu","raw_affiliation_strings":["The University of Texas, Austin, TX","The University of Texas, Austin, Tx"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, Austin, Tx","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044137409","display_name":"George Biros","orcid":"https://orcid.org/0000-0002-0033-3994"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Biros","raw_affiliation_strings":["The University of Texas, Austin, TX","The University of Texas, Austin, Tx"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"The University of Texas, Austin, Tx","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5077464013"],"corresponding_institution_ids":["https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":1.7577,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84898176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.8303845524787903},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7174159288406372},{"id":"https://openalex.org/keywords/variable-kernel-density-estimation","display_name":"Variable kernel density estimation","score":0.5975219011306763},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.5807607769966125},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5415695905685425},{"id":"https://openalex.org/keywords/kernel-embedding-of-distributions","display_name":"Kernel embedding of distributions","score":0.5311960577964783},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4987964630126953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44085240364074707},{"id":"https://openalex.org/keywords/tree-kernel","display_name":"Tree kernel","score":0.43587738275527954},{"id":"https://openalex.org/keywords/multipole-expansion","display_name":"Multipole expansion","score":0.4283802807331085},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3915238678455353},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38415154814720154},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3440118134021759},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.32197946310043335},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.2096116840839386},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17123636603355408},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16204851865768433},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08118534088134766},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0701870322227478}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.8303845524787903},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7174159288406372},{"id":"https://openalex.org/C195699287","wikidata":"https://www.wikidata.org/wiki/Q7915722","display_name":"Variable kernel density estimation","level":4,"score":0.5975219011306763},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.5807607769966125},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5415695905685425},{"id":"https://openalex.org/C134517425","wikidata":"https://www.wikidata.org/wiki/Q16000131","display_name":"Kernel embedding of distributions","level":4,"score":0.5311960577964783},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4987964630126953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44085240364074707},{"id":"https://openalex.org/C140417398","wikidata":"https://www.wikidata.org/wiki/Q16933942","display_name":"Tree kernel","level":5,"score":0.43587738275527954},{"id":"https://openalex.org/C52765159","wikidata":"https://www.wikidata.org/wiki/Q1027847","display_name":"Multipole expansion","level":2,"score":0.4283802807331085},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3915238678455353},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38415154814720154},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3440118134021759},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.32197946310043335},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.2096116840839386},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17123636603355408},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16204851865768433},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08118534088134766},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0701870322227478},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2807591.2807647","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2807591.2807647","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=2807647&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1340394","is_oa":true,"landing_page_url":"http://mediatum.ub.tum.de/node?id=1340394","pdf_url":null,"source":{"id":"https://openalex.org/S4306400453","display_name":"mediaTUM \u2013 the media and publications repository of the Technical University Munich (Technical University Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1145/2807591.2807647","is_oa":true,"landing_page_url":"https://doi.org/10.1145/2807591.2807647","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=2807647&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1065316766","display_name":null,"funder_award_id":"Award","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1443680599","display_name":null,"funder_award_id":"FA9550-12-10484","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1754072158","display_name":null,"funder_award_id":"DE-SC0009286","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G1775927730","display_name":null,"funder_award_id":"DE-FG02-08ER2585","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G1833366854","display_name":null,"funder_award_id":"291763","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2927361239","display_name":null,"funder_award_id":"DE-FG02-08ER2585","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3390915338","display_name":null,"funder_award_id":"1337393","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3618738895","display_name":null,"funder_award_id":"DE-SC0009286","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G384541214","display_name":null,"funder_award_id":"DE-SC0010518, DE-SC0009286","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4255825560","display_name":null,"funder_award_id":"DE-SC0009286","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G4320584268","display_name":null,"funder_award_id":"FA9550-12-10","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4342292485","display_name":null,"funder_award_id":"CCF-1337393","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4393086525","display_name":null,"funder_award_id":"DE-SC0010518","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G4537469215","display_name":"CDI Type II/Collaborative Research:  Ultra-high Resolution Dynamic Earth Models through Joint Inversion of Seismic and Geodynamic Data","funder_award_id":"1029022","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5102605264","display_name":null,"funder_award_id":"SC0009286","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G5107839510","display_name":null,"funder_award_id":"DE-SC0010518","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5219260752","display_name":null,"funder_award_id":"DE-FG","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5533698752","display_name":null,"funder_award_id":"DE-FG02-08ER","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G586347369","display_name":null,"funder_award_id":"10042242","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G6071252945","display_name":null,"funder_award_id":"FA9550-12","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6226800885","display_name":null,"funder_award_id":"FA9550-11-10339","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G6828894148","display_name":null,"funder_award_id":"OCI-1029022","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7186324567","display_name":null,"funder_award_id":"DE-FG02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7401081196","display_name":null,"funder_award_id":"DE-SC0010518","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G743161007","display_name":null,"funder_award_id":"DE-FG02-08ER2585","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7716660422","display_name":null,"funder_award_id":"SC0010518","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7807745527","display_name":null,"funder_award_id":"FA9550-11","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7999580237","display_name":null,"funder_award_id":"FA9550-12-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8345540293","display_name":null,"funder_award_id":"291763","funder_id":"https://openalex.org/F4320323383","funder_display_name":"Technische Universit\u00e4t M\u00fcnchen"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G850458861","display_name":null,"funder_award_id":"DE-SC0010518","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8543603247","display_name":null,"funder_award_id":"DE-SC0009286","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8684078510","display_name":null,"funder_award_id":"DE-FG02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8747181531","display_name":null,"funder_award_id":"OCI-1029022","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320323383","display_name":"Technische Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/02kkvpp62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022874901.pdf","grobid_xml":"https://content.openalex.org/works/W2022874901.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W1486164486","https://openalex.org/W1496357020","https://openalex.org/W1506342804","https://openalex.org/W1528765304","https://openalex.org/W1746819321","https://openalex.org/W1908407117","https://openalex.org/W1971281392","https://openalex.org/W1984720405","https://openalex.org/W1997059460","https://openalex.org/W1999352252","https://openalex.org/W2009223819","https://openalex.org/W2037316890","https://openalex.org/W2038276547","https://openalex.org/W2038922352","https://openalex.org/W2040872993","https://openalex.org/W2055826969","https://openalex.org/W2073517977","https://openalex.org/W2083206954","https://openalex.org/W2087158689","https://openalex.org/W2112545207","https://openalex.org/W2117263343","https://openalex.org/W2117926105","https://openalex.org/W2118123209","https://openalex.org/W2119233169","https://openalex.org/W2125621954","https://openalex.org/W2136770272","https://openalex.org/W2146558186","https://openalex.org/W2160431995","https://openalex.org/W2166263464","https://openalex.org/W2168029744","https://openalex.org/W2500846120","https://openalex.org/W2962906164","https://openalex.org/W2999905431","https://openalex.org/W3101749733","https://openalex.org/W3120740533","https://openalex.org/W3215037115","https://openalex.org/W4211049957","https://openalex.org/W4244670803","https://openalex.org/W4249875616","https://openalex.org/W4250100819","https://openalex.org/W4299403943"],"related_works":["https://openalex.org/W3013206934","https://openalex.org/W2071590642","https://openalex.org/W2090782076","https://openalex.org/W1984421104","https://openalex.org/W1983263273","https://openalex.org/W4291669689","https://openalex.org/W1836142315","https://openalex.org/W4294351650","https://openalex.org/W3123056048","https://openalex.org/W2535206775"],"abstract_inverted_index":{"We":[0,57,95],"introduce":[1,58],"a":[2,59,107],"general-dimensional,":[3],"kernel-independent,":[4],"algebraic":[5],"fast":[6,39],"multipole":[7,40],"method":[8,60,101],"and":[9,35,70,81],"apply":[10],"it":[11,65],"to":[12],"kernel":[13,24,68],"regression.":[14],"The":[15],"motivation":[16],"for":[17],"this":[18,63],"work":[19],"is":[20,93],"the":[21,46,53,74,77,82,87,91,97],"approximation":[22,31],"of":[23,79,90,99],"matrices,":[25],"which":[26],"appear":[27],"in":[28,121],"mathematical":[29],"physics,":[30],"theory,":[32],"non-parametric":[33],"statistics,":[34],"machine":[36],"learning.":[37],"Existing":[38],"methods":[41],"are":[42],"asymptotically":[43],"optimal,":[44],"but":[45],"underlying":[47],"constants":[48],"scale":[49],"quite":[50],"badly":[51],"with":[52,73,117],"ambient":[54,83],"space":[55],"dimension.":[56],"that":[61],"mitigates":[62],"shortcoming;":[64],"only":[66],"requires":[67],"evaluations":[69],"scales":[71],"well":[72],"problem":[75],"size,":[76],"number":[78],"processors,":[80],"dimension---as":[84],"long":[85],"as":[86],"intrinsic":[88],"dimension":[89],"dataset":[92,116],"small.":[94],"test":[96],"performance":[98],"our":[100,109],"on":[102,113],"several":[103],"synthetic":[104],"datasets.":[105],"As":[106],"highlight,":[108],"largest":[110],"run":[111],"was":[112],"an":[114],"image":[115],"10":[118],"million":[119],"points":[120],"246":[122],"dimensions.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
