{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T21:21:10Z","timestamp":1769635270741,"version":"3.49.0"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Naoki Saito's ONR","award":["N00014-12-1-0177"],"award-info":[{"award-number":["N00014-12-1-0177"]}]},{"name":"Naoki Saito's ONR","award":["N00014-16-1-2255"],"award-info":[{"award-number":["N00014-16-1-2255"]}]},{"name":"Naoki Saito's ONR","award":["N00014-16-1-2255"],"award-info":[{"award-number":["N00014-16-1-2255"]}]},{"name":"NSF","award":["DMS-1418779"],"award-info":[{"award-number":["DMS-1418779"]}]},{"name":"Government support","award":["FA9550-11-C-0028"],"award-info":[{"award-number":["FA9550-11-C-0028"]}]},{"name":"Department of Defense, Air Force Office of Scientific Research, National Defense Science and Engineering Graduate Fellowship","award":["32 CFR 168a"],"award-info":[{"award-number":["32 CFR 168a"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. on Signal and Inf. Process. over Networks"],"published-print":{"date-parts":[[2017,9]]},"DOI":"10.1109\/tsipn.2016.2632039","type":"journal-article","created":{"date-parts":[[2016,11,23]],"date-time":"2016-11-23T02:12:59Z","timestamp":1479867179000},"page":"607-616","source":"Crossref","is-referenced-by-count":8,"title":["Efficient Approximation and Denoising of Graph Signals Using the Multiscale Basis Dictionaries"],"prefix":"10.1109","volume":"3","author":[{"given":"Jeff","family":"Irion","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naoki","family":"Saito","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2188718"},{"key":"ref38","article-title":"The proof of Theorem 3.1","author":"irion","year":"2016"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/VETECS.2001.944931"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/DCC.2000.838192"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/18.119732"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2006.04.005"},{"key":"ref37","article-title":"Earth mover's distance and equivalent metrics for spaces with hierarchical partition trees","author":"coifman","year":"2013"},{"key":"ref36","author":"mallat","year":"2009","journal-title":"A Wavelet Tour of Signal Processing The Sparse Way"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/18.119733"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002816"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1214\/07-AOAS137"},{"key":"ref40","first-page":"109","article-title":"Wavelet shrinkage and W.V.D.: A 10-minute tour","author":"donoho","year":"1993","journal-title":"Progress in Wavelet Analysis and Applications"},{"key":"ref11","first-page":"367","article-title":"Multiscale wavelets on trees, graphs and high dimensional data: Theory and applications to semi supervised learning","author":"gavish","year":"0","journal-title":"Proc 27th Int Conf Mach Learn"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-8095-4_9"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1117\/12.616931"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2014.07.002"},{"key":"ref15","article-title":"Average interpolating wavelets on point clouds and graphs","author":"rustamov","year":"2011","journal-title":"arXiv preprint arXiv 1110 2227"},{"key":"ref16","first-page":"998","article-title":"Wavelets on graphs via deep learning","author":"rustamov","year":"0","journal-title":"Proc Adv Neural Inf Process Syst Conf"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.14495\/jsiaml.6.21"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/SSP.2014.6884678"},{"key":"ref19","article-title":"Multiscale transforms for signals on graphs: Methods and applications","author":"irion","year":"2015"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2008.00672.x"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-007-9033-z"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141095289051"},{"key":"ref3","volume":"92","author":"chung","year":"1997","journal-title":"Spectral Graph Theory"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/34.868688"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2006.04.004"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"619","DOI":"10.21136\/CMJ.1975.101357","article-title":"A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory","volume":"25","author":"fiedler","year":"1975","journal-title":"Czechoslovak Math J"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.laa.2004.04.024","article-title":"Graph Laplacians, nodal domains, and hyperplane arrangements","volume":"390","author":"b?y?ko?lu","year":"2004","journal-title":"Linear Algebra Appl"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/S0024-3795(01)00313-5","article-title":"Discrete nodal domain theorems","volume":"336","author":"davies","year":"2001","journal-title":"Linear Algebra Appl"},{"key":"ref2","article-title":"Applied and computational harmonic analysis on graphs and networks","volume":"9597","author":"irion","year":"0","journal-title":"Proc SPIE"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00357-007-0007-9"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2010.04.005"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/0956-0521(91)90014-V"},{"key":"ref22","first-page":"2339","article-title":"A local spectral method for graphs: With applications to improving graph partitions and exploring data graphs locally","volume":"13","author":"mahoney","year":"2012","journal-title":"J Mach Learn Res"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/11083109X"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroscience.2006.02.079"},{"key":"ref24","first-page":"259","article-title":"Remarques sur l&#x2019;analyse de Fourier &#x00E0; fen&#x00EA;tre","volume":"312","author":"coifman","year":"1991","journal-title":"C R Acad Sci Paris S&#x00E9 r I Math"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1111\/j.2517-6161.1995.tb02032.x","article-title":"Wavelet shrinkage: Asymptopia","volume":"57","author":"donoho","year":"1995","journal-title":"J Roy Statist Soc Ser B"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2012.2235192"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1214\/009053605000000345"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1006\/acha.1996.0015"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9574.00211"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/050622729"}],"container-title":["IEEE Transactions on Signal and Information Processing over Networks"],"original-title":[],"link":[{"URL":"http:\/\/ieeexplore.ieee.org\/ielaam\/6884276\/8010473\/7752982-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6884276\/8010473\/07752982.pdf?arnumber=7752982","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T20:29:35Z","timestamp":1749760175000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7752982\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9]]},"references-count":44,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tsipn.2016.2632039","relation":{},"ISSN":["2373-776X","2373-7778"],"issn-type":[{"value":"2373-776X","type":"electronic"},{"value":"2373-7778","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,9]]}}}