{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T06:53:22Z","timestamp":1759042402094,"version":"3.41.0"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2018,5,1]],"date-time":"2018-05-01T00:00:00Z","timestamp":1525132800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"NSF SaTC","award":["CNS-1527754"],"award-info":[{"award-number":["CNS-1527754"]}]},{"name":"NSF CISE","award":["CCF-1553452"],"award-info":[{"award-number":["CCF-1553452"]}]},{"name":"NSF CISE","award":["CCF-1617745"],"award-info":[{"award-number":["CCF-1617745"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2018,5]]},"DOI":"10.1109\/tit.2018.2810313","type":"journal-article","created":{"date-parts":[[2018,3,7]],"date-time":"2018-03-07T20:31:10Z","timestamp":1520454670000},"page":"3313-3330","source":"Crossref","is-referenced-by-count":3,"title":["Breaking the Bandwidth Barrier: Geometrical Adaptive Entropy Estimation"],"prefix":"10.1109","volume":"64","author":[{"given":"Weihao","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8975-8306","authenticated-orcid":false,"given":"Sewoong","family":"Oh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3171-8667","authenticated-orcid":false,"given":"Pramod","family":"Viswanath","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"year":"2017","author":"han","journal-title":"Optimal rates of entropy estimation over Lipschitz balls","key":"ref39"},{"year":"2016","author":"berrett","journal-title":"Efficient multivariate entropy estimation via k-nearest neighbour distances","key":"ref38"},{"doi-asserted-by":"publisher","key":"ref33","DOI":"10.1016\/j.jspi.2017.01.004"},{"doi-asserted-by":"publisher","key":"ref32","DOI":"10.1214\/aop\/1176993668"},{"year":"2016","author":"biau","journal-title":"Lectures on the Nearest Neighbor Method","key":"ref31"},{"year":"2016","author":"singh","journal-title":"Analysis of k-nearest neighbor distances with application to entropy estimation","key":"ref30"},{"doi-asserted-by":"publisher","key":"ref37","DOI":"10.3103\/S106653070803006X"},{"doi-asserted-by":"publisher","key":"ref36","DOI":"10.1007\/s10958-009-9674-x"},{"doi-asserted-by":"publisher","key":"ref35","DOI":"10.1016\/0047-259X(86)90027-8"},{"doi-asserted-by":"publisher","key":"ref34","DOI":"10.1017\/S0305004100062459"},{"key":"ref10","first-page":"9","article-title":"Sample estimate of the entropy of a random vector","volume":"23","author":"kozachenko","year":"1987","journal-title":"Problemy Peredachi Informatsii"},{"year":"2017","author":"jiao","journal-title":"The nearest neighbor information estimator is adaptively near minimax rate-optimal","key":"ref40"},{"key":"ref11","first-page":"278","article-title":"Estimating mutual information by local Gaussian approximation","author":"gao","year":"2015","journal-title":"Proc 31st Annu Conf Uncertainty Artif Intell (UAI)"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"13310","DOI":"10.1103\/PhysRevE.93.013310","article-title":"Nonparametric k-nearest-neighbor entropy estimator","volume":"93","author":"lombardi","year":"2016","journal-title":"Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Top"},{"doi-asserted-by":"publisher","key":"ref13","DOI":"10.1214\/aos\/1032298288"},{"doi-asserted-by":"publisher","key":"ref14","DOI":"10.1214\/aos\/1032298287"},{"year":"2006","author":"wasserman","journal-title":"All of Nonparametric Statistics","key":"ref15"},{"year":"2006","author":"loader","journal-title":"Local Regression and Likelihood","key":"ref16"},{"year":"2003","author":"vincent","article-title":"Locally weighted full covariance Gaussian density estimation","key":"ref17"},{"year":"2012","author":"reiss","journal-title":"Approximate Distributions of Order Statistics with Applications to Nonparametric Statistics","key":"ref18"},{"doi-asserted-by":"publisher","key":"ref19","DOI":"10.1214\/088342304000000297"},{"key":"ref28","first-page":"2537","article-title":"Exponential concentration for mutual information estimation with application to forests","author":"liu","year":"2012","journal-title":"Proc NIPS"},{"key":"ref4","first-page":"577","article-title":"Discovering structure in high-dimensional data through correlation explanation","author":"ver steeg","year":"2014","journal-title":"Proc Adv Neural Inf Process Syst"},{"year":"2016","author":"gao","journal-title":"Demystifying fixed k-nearest neighbor information estimators","key":"ref27"},{"doi-asserted-by":"publisher","key":"ref3","DOI":"10.1017\/CBO9780511809071"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1561\/0100000021","article-title":"Universal estimation of information measures for analog sources","volume":"5","author":"wang","year":"2009","journal-title":"Found Trends Commun Inf Theory"},{"doi-asserted-by":"publisher","key":"ref29","DOI":"10.1109\/TIT.2008.928251"},{"year":"2016","author":"ver steeg","journal-title":"The information sieve","key":"ref5"},{"doi-asserted-by":"publisher","key":"ref8","DOI":"10.1103\/PhysRevE.69.066138"},{"key":"ref7","first-page":"277","article-title":"Efficient estimation of mutual information for strongly dependent variables","author":"gao","year":"2015","journal-title":"Proc Int Conf Artif Intell Statist (AISTATS)"},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.1126\/science.1205438"},{"doi-asserted-by":"publisher","key":"ref9","DOI":"10.1080\/01966324.2003.10737616"},{"doi-asserted-by":"publisher","key":"ref1","DOI":"10.1126\/science.1250689"},{"key":"ref20","first-page":"1849","article-title":"Estimation of R&#x00E9;nyi entropy and mutual information based on generalized nearest-neighbor graphs","author":"p\u00e1l","year":"2010","journal-title":"Proc Adv Neural Inf Process Syst"},{"doi-asserted-by":"publisher","key":"ref22","DOI":"10.1214\/07-AOS539"},{"doi-asserted-by":"publisher","key":"ref21","DOI":"10.1080\/104852504200026815"},{"doi-asserted-by":"publisher","key":"ref42","DOI":"10.1109\/TIT.2013.2251456"},{"doi-asserted-by":"publisher","key":"ref24","DOI":"10.1007\/BF00057735"},{"key":"ref41","first-page":"1375","article-title":"Submanifold density estimation","author":"ozakin","year":"2009","journal-title":"Proc Adv Neural Inf Process Syst"},{"doi-asserted-by":"publisher","key":"ref23","DOI":"10.1109\/TIT.2009.2016060"},{"year":"2016","author":"moon","journal-title":"Nonparametric ensemble estimation of distributional functionals","key":"ref44"},{"key":"ref26","first-page":"75","article-title":"Root-n consistent estimators of entropy for densities with unbounded support","volume":"23","author":"tsybakov","year":"1996","journal-title":"Scand J Statist"},{"doi-asserted-by":"publisher","key":"ref43","DOI":"10.1109\/ISIT.2014.6874854"},{"key":"ref25","first-page":"397","article-title":"Nonparametric von Mises estimators for entropies, divergences and mutual informations","author":"kandasamy","year":"2015","journal-title":"Proc NIPS"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/ieeexplore.ieee.org\/ielaam\/18\/8341943\/8307471-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8341943\/08307471.pdf?arnumber=8307471","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T14:13:35Z","timestamp":1751465615000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/8307471\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5]]},"references-count":44,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tit.2018.2810313","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2018,5]]}}}