{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,27]],"date-time":"2026-07-27T12:13:00Z","timestamp":1785154380512,"version":"3.55.0"},"reference-count":57,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2015,11,1]],"date-time":"2015-11-01T00:00:00Z","timestamp":1446336000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Mag."],"published-print":{"date-parts":[[2015,11]]},"DOI":"10.1109\/msp.2015.2398954","type":"journal-article","created":{"date-parts":[[2015,10,14]],"date-time":"2015-10-14T19:06:25Z","timestamp":1444849585000},"page":"12-30","source":"Crossref","is-referenced-by-count":534,"title":["Euclidean Distance Matrices: Essential theory, algorithms, and applications"],"prefix":"10.1109","volume":"32","author":[{"given":"Ivan","family":"Dokmanic","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Reza","family":"Parhizkar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Juri","family":"Ranieri","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Martin","family":"Vetterli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","author":"borg","year":"2005","journal-title":"Modern Multidimensional Scaling Theory and Applications"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2272925"},{"key":"ref33","author":"mucherino","year":"2012","journal-title":"Distance Geometry Theory Methods and Applications"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-0769-0_30"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.89.053311"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/BF02310794"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1118\/1.2432161"},{"key":"ref36","first-page":"952","article-title":"Matrix completion from noisy entries","volume":"22","author":"keshavan","year":"2009","journal-title":"Advances in neural information processing systems"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2046205"},{"key":"ref34","author":"sch\u00f6nemann","year":"1964","journal-title":"A solution of the orthogonal procrustes problem with applications to orthogonal and oblique rotation"},{"key":"ref28","first-page":"2445","article-title":"Direct computation of sound and microphone locations from time-difference-of-arrival data","author":"pollefeys","year":"0","journal-title":"Proc Int Workshop on HSC"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2175387"},{"key":"ref29","first-page":"2275","article-title":"How to localize ten microphones in one fingersnap","author":"dokmanic\u00b4","year":"0","journal-title":"Proc European Signal Processing Conf (EUSIPCO)"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5197-3_2"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2005.1458287"},{"key":"ref20","author":"dattorro","year":"2011","journal-title":"Convex Optimization & Euclidean Distance Geometry"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1006\/jmbi.1993.1489"},{"key":"ref21","first-page":"148","article-title":"Applications of multidimensional scaling to molecular conformation","volume":"29","author":"trosset","year":"1998","journal-title":"Comp Sci Stat"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2004.1326712"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","article-title":"A global geometric framework for nonlinear dimensionality reduction","volume":"290","author":"tenenbaum","year":"2000","journal-title":"Science"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-006-0040-1"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2008.04.005"},{"key":"ref50","author":"grant","year":"2014","journal-title":"CVX Matlab Software for Disciplined Convex Programming Version 2 1"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/978-1-84800-155-8_7","article-title":"Graph implementations for nonsmooth convex programs","author":"grant","year":"2008","journal-title":"Recent Advances in Learning and Control"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2014.6853834"},{"key":"ref56","first-page":"332","article-title":"Reconstructing sets from interpoint distances","author":"skiena","year":"0","journal-title":"Proc of Symposium on Computational Geometry (SCG)"},{"key":"ref55","first-page":"207","article-title":"Speckle imaging through the atmosphere","volume":"2","author":"beavers","year":"1989","journal-title":"Lincoln Lab J"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.7.000394"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1121\/1.382599"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/S0196-8858(03)00101-5"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/120875909"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01448840"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/BF02289694"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/1968654"},{"key":"ref13","author":"blumenthal","year":"1953","journal-title":"Theory and Applications of Distance Geometry"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02287916"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02289565"},{"key":"ref16","first-page":"1","article-title":"Euclidean distance geometry","volume":"7","author":"gower","year":"1982","journal-title":"Math Sci"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(85)90187-9"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1137\/0611042"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(91)90068-8"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1145\/984622.984630"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/INFCOM.2001.916662"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"12186","DOI":"10.1073\/pnas.1221464110","article-title":"Acoustic echoes reveal room shape","volume":"110","author":"dokmanic\u00b4","year":"2013","journal-title":"Proc Natl Acad Sci"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/0022-2836(85)90346-8"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/BF02288916"},{"key":"ref7","article-title":"Phase retrieval for sparse signals: Uniqueness conditions","author":"ranieri","year":"0","journal-title":"IEEE Trans Inform Theory"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2006.877401"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-005-4939-z"},{"key":"ref46","author":"parhizkar","year":"2013","journal-title":"Euclidean Distance Matrices Properties Algorithms and Applications"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/BF02614077"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/BF02461553"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/BF01896985"},{"key":"ref42","first-page":"45","article-title":"Algorithms in convex analysis applied to multidimensional scaling","author":"mathar","year":"1991","journal-title":"Data Analysis Learning Symbolic and Numeric Knowledge"},{"key":"ref41","first-page":"133","article-title":"Applications of convex analysis to multidimensional scaling","author":"de leeuw","year":"1977","journal-title":"Recent developments in statistics"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/BF02293745"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/BF02290164"}],"container-title":["IEEE Signal Processing Magazine"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/79\/7298505\/07298562.pdf?arnumber=7298562","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:47:15Z","timestamp":1642006035000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7298562\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11]]},"references-count":57,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/msp.2015.2398954","relation":{},"ISSN":["1053-5888"],"issn-type":[{"value":"1053-5888","type":"print"}],"subject":[],"published":{"date-parts":[[2015,11]]}}}