{"id":"https://openalex.org/W4211115243","doi":"https://doi.org/10.1109/tit.2022.3151231","title":"Nearest Neighbor Density Functional Estimation From Inverse Laplace Transform","display_name":"Nearest Neighbor Density Functional Estimation From Inverse Laplace Transform","publication_year":2022,"publication_date":"2022-02-12","ids":{"openalex":"https://openalex.org/W4211115243","doi":"https://doi.org/10.1109/tit.2022.3151231"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3151231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3151231","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.08342","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103149429","display_name":"Jongha Ryu","orcid":"https://orcid.org/0000-0003-4818-4411"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Jon Ryu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4818-4411","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064070525","display_name":"Shouvik Ganguly","orcid":"https://orcid.org/0000-0001-9769-9265"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]},{"id":"https://openalex.org/I4210089707","display_name":"XCOM Wireless (United States)","ror":"https://ror.org/014yncy15","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089707"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shouvik Ganguly","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA, USA","XCOM Laboratories, San Diego, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-9769-9265","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"XCOM Laboratories, San Diego, CA, USA","institution_ids":["https://openalex.org/I4210089707"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101647166","display_name":"Young-Han Kim","orcid":"https://orcid.org/0000-0001-7255-8757"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Young-Han Kim","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA","Gauss Labs Inc., Palo Alto, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-7255-8757","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Gauss Labs Inc., Palo Alto, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021287644","display_name":"Yung\u2010Kyun Noh","orcid":"https://orcid.org/0000-0002-6372-9267"},"institutions":[{"id":"https://openalex.org/I125608817","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568","country_code":"KR","type":"facility","lineage":["https://openalex.org/I125608817"]},{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Yung-Kyun Noh","raw_affiliation_strings":["Department of Computer Science, Hanyang University, Seoul, South Korea","School of Computational Sciences, Institute for Advanced Study, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-6372-9267","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Hanyang University, Seoul, South Korea","institution_ids":["https://openalex.org/I4575257"]},{"raw_affiliation_string":"School of Computational Sciences, Institute for Advanced Study, Seoul, South Korea","institution_ids":["https://openalex.org/I125608817"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007905483","display_name":"Daniel D. Lee","orcid":"https://orcid.org/0000-0002-2163-2686"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]},{"id":"https://openalex.org/I2250650973","display_name":"Samsung (South Korea)","ror":"https://ror.org/04w3jy968","country_code":"KR","type":"company","lineage":["https://openalex.org/I2250650973"]}],"countries":["KR","US"],"is_corresponding":false,"raw_author_name":"Daniel D. Lee","raw_affiliation_strings":["Cornell Tech, New York, NY, USA","lobal AI Center for Samsung Research, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell Tech, New York, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"lobal AI Center for Samsung Research, Seoul, South Korea","institution_ids":["https://openalex.org/I2250650973"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5103149429"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.7397,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70245463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":"6","first_page":"3511","last_page":"3551"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5864266157150269},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.5778876543045044},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5470049381256104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5281151533126831},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.383955717086792},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3497750163078308},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3439229428768158},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33309847116470337},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1931980848312378},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09048587083816528}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5864266157150269},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.5778876543045044},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5470049381256104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5281151533126831},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.383955717086792},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3497750163078308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3439229428768158},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33309847116470337},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1931980848312378},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09048587083816528},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2022.3151231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3151231","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.08342","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.08342","pdf_url":"https://arxiv.org/pdf/1805.08342","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.08342","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.08342","pdf_url":"https://arxiv.org/pdf/1805.08342","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1630155666","display_name":null,"funder_award_id":"CCF-1911238","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1692707757","display_name":null,"funder_award_id":"2021M3E5D2A01019545","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G5051733337","display_name":null,"funder_award_id":"2020-0-01373","funder_id":"https://openalex.org/F4320321142","funder_display_name":"Hanyang University"},{"id":"https://openalex.org/G728526146","display_name":null,"funder_award_id":"2017R1E1A1A03070945","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321142","display_name":"Hanyang University","ror":"https://ror.org/046865y68"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":94,"referenced_works":["https://openalex.org/W121168560","https://openalex.org/W196627109","https://openalex.org/W1511694993","https://openalex.org/W1535258871","https://openalex.org/W1564947197","https://openalex.org/W1582706191","https://openalex.org/W1593038947","https://openalex.org/W1594563152","https://openalex.org/W1630120088","https://openalex.org/W1750591676","https://openalex.org/W1839657926","https://openalex.org/W1967954124","https://openalex.org/W1981050900","https://openalex.org/W1982917526","https://openalex.org/W1983874169","https://openalex.org/W1990632278","https://openalex.org/W1992068214","https://openalex.org/W1994781206","https://openalex.org/W1996437515","https://openalex.org/W2001846736","https://openalex.org/W2005560667","https://openalex.org/W2012257697","https://openalex.org/W2016552385","https://openalex.org/W2017823450","https://openalex.org/W2034177275","https://openalex.org/W2040820014","https://openalex.org/W2044798275","https://openalex.org/W2050913223","https://openalex.org/W2058944967","https://openalex.org/W2060677448","https://openalex.org/W2079709766","https://openalex.org/W2086106673","https://openalex.org/W2089943482","https://openalex.org/W2092692908","https://openalex.org/W2092701412","https://openalex.org/W2092939357","https://openalex.org/W2121302325","https://openalex.org/W2122111042","https://openalex.org/W2122882636","https://openalex.org/W2132008222","https://openalex.org/W2132425342","https://openalex.org/W2134465553","https://openalex.org/W2147684887","https://openalex.org/W2149229436","https://openalex.org/W2149497493","https://openalex.org/W2150879893","https://openalex.org/W2154053567","https://openalex.org/W2157510479","https://openalex.org/W2162978610","https://openalex.org/W2166944917","https://openalex.org/W2188155116","https://openalex.org/W2303810353","https://openalex.org/W2541578234","https://openalex.org/W2585429527","https://openalex.org/W2593829254","https://openalex.org/W2615086650","https://openalex.org/W2768242419","https://openalex.org/W2768627755","https://openalex.org/W2789700415","https://openalex.org/W2806801315","https://openalex.org/W2889046694","https://openalex.org/W2937628888","https://openalex.org/W2950255726","https://openalex.org/W2962687584","https://openalex.org/W2963113682","https://openalex.org/W2963180359","https://openalex.org/W2963277514","https://openalex.org/W2963540279","https://openalex.org/W2963881786","https://openalex.org/W3102411776","https://openalex.org/W3103649009","https://openalex.org/W3104165014","https://openalex.org/W3110763182","https://openalex.org/W3135802851","https://openalex.org/W4238339534","https://openalex.org/W4242238821","https://openalex.org/W4246219036","https://openalex.org/W4247763563","https://openalex.org/W4248500611","https://openalex.org/W4251333191","https://openalex.org/W4256155303","https://openalex.org/W4288299068","https://openalex.org/W4294588833","https://openalex.org/W4380490521","https://openalex.org/W6637334298","https://openalex.org/W6637737491","https://openalex.org/W6681896274","https://openalex.org/W6683344853","https://openalex.org/W6684316217","https://openalex.org/W6686876975","https://openalex.org/W6717243256","https://openalex.org/W6728550013","https://openalex.org/W6745679493","https://openalex.org/W7001109991"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2504004674","https://openalex.org/W2963177394","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W4287880334","https://openalex.org/W1965815883","https://openalex.org/W763418848"],"abstract_inverted_index":{"A":[0],"new":[1,141],"approach":[2],"to":[3,60,82],"<inline-formula":[4,18,44,73,104,119,155],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,19,45,74,105,120,156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[6,20,46,75,106,121,157],"<tex-math":[7,21,47,76,107,122,158],"notation=\"LaTeX\">$L_{2}$":[8,159],"</tex-math></inline-formula>":[9,23,49,78,109,124,160],"-consistent":[10],"estimation":[11],"of":[12,38,41,50,67,71,97,101,113,129,162,172,190],"a":[13,72,83,98,169,188],"general":[14,175],"density":[15],"functional":[16,31],"using":[17,64],"notation=\"LaTeX\">$k$":[22,77,123],"-nearest":[24,79,125],"neighbor":[25,80,126],"distances":[26],"is":[27,34,58,166,185],"proposed,":[28],"where":[29],"the":[30,36,39,51,65,68,87,93,102,114,163,178,191],"under":[32],"consideration":[33],"in":[35,86,181],"form":[37],"expectation":[40],"some":[42],"function":[43,103,189],"notation=\"LaTeX\">$f$":[48,108],"densities":[52,173],"at":[53],"each":[54],"point.":[55],"The":[56,154],"estimator":[57,116,165],"designed":[59],"be":[61],"asymptotically":[62],"unbiased,":[63],"convergence":[66,179],"normalized":[69],"volume":[70],"ball":[81],"Gamma":[84],"distribution":[85],"large-sample":[88],"limit,":[89],"and":[90,131,134,136,139,152,177],"naturally":[91],"involves":[92],"inverse":[94],"Laplace":[95],"transform":[96],"scaled":[99],"version":[100],".":[110],"Some":[111],"instantiations":[112],"proposed":[115,164],"recover":[117],"existing":[118],"based":[127],"estimators":[128,143],"Shannon":[130],"R\u00e9nyi":[132,137],"entropies":[133,151],"Kullback\u2013Leibler":[135],"divergences,":[138],"discover":[140],"consistent":[142],"for":[144,168,174,194],"many":[145],"other":[146],"functionals":[147],"such":[148],"as":[149,187],"logarithmic":[150],"divergences.":[153],"-consistency":[161],"established":[167,186],"broad":[170],"class":[171],"functionals,":[176],"rate":[180],"mean":[182],"squared":[183],"error":[184],"sample":[192],"size":[193],"smooth,":[195],"bounded":[196],"densities.":[197]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-12-07T23:40:59.601060","created_date":"2025-10-10T00:00:00"}
