{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T02:02:16Z","timestamp":1774922536663,"version":"3.50.1"},"reference-count":13,"publisher":"MIT Press - Journals","issue":"9","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2005,9,1]]},"abstract":"<jats:p> We develop the general, multivariate case of the Edgeworth approximation of differential entropy and show that it can be more accurate than the nearest-neighbor method in the multivariate case and that it scales better with sample size. Furthermore, we introduce mutual information estimation as an application. <\/jats:p>","DOI":"10.1162\/0899766054323026","type":"journal-article","created":{"date-parts":[[2005,7,2]],"date-time":"2005-07-02T14:46:14Z","timestamp":1120315574000},"page":"1903-1910","source":"Crossref","is-referenced-by-count":75,"title":["Edgeworth Approximation of Multivariate Differential Entropy"],"prefix":"10.1162","volume":"17","author":[{"given":"Marc M. Van","family":"Hulle","sequence":"first","affiliation":[{"name":"K. U. Leuven, Laboratorium voor Neuro-en Psychofysiologie, B-3000 Leuven, Belgium,"}]}],"member":"281","reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1976.1055550"},{"key":"p_4","first-page":"17","volume":"6","author":"Beirlant J.","year":"1997","journal-title":"Int. J. Math. and Statistical Sciences"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(94)90029-9"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2004.827202"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1987.10478427"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100062459"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176349519"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.2307\/2981662"},{"issue":"2","key":"p_12","first-page":"95","volume":"23","author":"Kozachenko L. F.","year":"1987","journal-title":"Problems of Information Transmission"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.066138"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1114861"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321780272"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/0899766054323026","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:51:38Z","timestamp":1615585898000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/17\/9\/1903-1910\/7008"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,9,1]]},"references-count":13,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2005,9,1]]}},"alternative-id":["10.1162\/0899766054323026"],"URL":"https:\/\/doi.org\/10.1162\/0899766054323026","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,9,1]]}}}