{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T09:54:50Z","timestamp":1740131690387,"version":"3.37.3"},"reference-count":47,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,2,1]],"date-time":"2020-02-01T00:00:00Z","timestamp":1580515200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100003977","name":"Israel Science Foundation","doi-asserted-by":"publisher","award":["634-09"],"award-info":[{"award-number":["634-09"]}],"id":[{"id":"10.13039\/501100003977","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Israeli Center for Absorption in Science"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2020,2]]},"DOI":"10.1109\/tit.2019.2927530","type":"journal-article","created":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T20:35:46Z","timestamp":1562704546000},"page":"1136-1154","source":"Crossref","is-referenced-by-count":3,"title":["Innovation Representation of Stochastic Processes With Application to Causal Inference"],"prefix":"10.1109","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5899-5608","authenticated-orcid":false,"given":"Amichai","family":"Painsky","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4458-9545","authenticated-orcid":false,"given":"Saharon","family":"Rosset","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1290-0482","authenticated-orcid":false,"given":"Meir","family":"Feder","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2728017"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/DCC.2016.59"},{"key":"ref33","first-page":"1","article-title":"Causal inference by choosing graphs with most plausible Markov Kernels","author":"sun","year":"2006","journal-title":"Proc ISAIM"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1080\/02331888.2015.1060237"},{"key":"ref31","first-page":"478","article-title":"Consistency of causal inference under the additive noise model","author":"kpotufe","year":"2014","journal-title":"Proc Int Conf Mach Learn"},{"key":"ref30","first-page":"111","article-title":"Pairwise likelihood ratios for estimation of non-Gaussian structural equation models","volume":"14","author":"hyv\u00e4rinen","year":"2013","journal-title":"J Mach Learn Res"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/DCC.2015.48"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/MLSP.2016.7738870"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875048"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006772"},{"key":"ref10","article-title":"Phd dissertation: Generalized independent components analysis over finite alphabets","author":"painsky","year":"2016","journal-title":"arXiv 1809 05043"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2016.0148"},{"journal-title":"Mémoire sur la théorie des déblais et des remblais","year":"1781","author":"monge","key":"ref11"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1002\/0471200611"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/09-SS057"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437786"},{"key":"ref15","article-title":"Bregman divergence bounds and the universality of the logarithmic loss","author":"painsky","year":"2018","journal-title":"arXiv 1810 07014"},{"key":"ref16","first-page":"512","article-title":"On the hardness of entropy minimization and related problems","author":"kova?evi?","year":"2012","journal-title":"Proc IEEE Inf Theory Workshop"},{"key":"ref17","first-page":"463","article-title":"A simplicial algorithm for concave minimization and its performance as a heuristic tool","volume":"35","author":"kuno","year":"2007","journal-title":"Vietnam J Math"},{"key":"ref18","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195100563.001.0001","author":"floudas","year":"1995","journal-title":"Nonlinear and Mixed-Integer Optimization Fundamentals and Applications"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0467-6"},{"key":"ref28","article-title":"Inferring deterministic causal relations","author":"daniusis","year":"2012","journal-title":"arXiv 1203 3475"},{"journal-title":"Principal Components Analysis","year":"2002","author":"jolliffe","key":"ref4"},{"key":"ref27","article-title":"Telling cause from effect based on high-dimensional observations","author":"janzing","year":"2009","journal-title":"arXiv 0909 4386"},{"journal-title":"Elements of Causal Inference Foundations and Learning Algorithms","year":"2017","author":"peters","key":"ref3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2510657"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/ast043"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-1599-1_16"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2104992"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2018.2872006"},{"key":"ref2","first-page":"516","article-title":"Gram-Schmidt orthogonalization","volume":"3","author":"arfken","year":"1985","journal-title":"Mathematical Methods for Physics"},{"key":"ref9","first-page":"1156","article-title":"Entropic causal inference","author":"kocaoglu","year":"2017","journal-title":"Proc AAAI"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620635"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-011-0421-z"},{"key":"ref20","first-page":"1103","article-title":"Distinguishing cause from effect using observational data: Methods and benchmarks","volume":"17","author":"mooij","year":"2016","journal-title":"J Mach Learn Res"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/100804917"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2011.71"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1137\/120881427"},{"key":"ref21","first-page":"3195","article-title":"Learning causal graphs with small interventions","author":"shanmugam","year":"2015","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref42","first-page":"199","article-title":"On the translocation of masses","volume":"37","author":"kantorovich","year":"1942","journal-title":"Doklady Akademiia Nauk SSSR"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1145\/1553374.1553470"},{"key":"ref41","article-title":"Lossless (and lossy) compression of random forests","author":"painsky","year":"2018","journal-title":"arXiv 1810 11197"},{"key":"ref23","first-page":"2003","article-title":"A linear non-Gaussian acyclic model for causal discovery","volume":"7","author":"shimizu","year":"2006","journal-title":"J Mach Learn Res"},{"key":"ref44","first-page":"805","article-title":"Polar decomposition and increasing rearrangement of vector fields","volume":"305","author":"brenier","year":"1987","journal-title":"Comptes Rendus l’Acad Sci Math"},{"key":"ref26","first-page":"689","article-title":"Nonlinear causal discovery with additive noise models","author":"hoyer","year":"2009","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s10958-006-0050-9"},{"key":"ref25","first-page":"647","article-title":"On the identifiability of the post-nonlinear causal model","author":"zhang","year":"2009","journal-title":"Proc 25th Conf Uncertainty in Artific Intell"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8963777\/08758213.pdf?arnumber=8758213","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T17:27:42Z","timestamp":1651080462000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8758213\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2]]},"references-count":47,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tit.2019.2927530","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2020,2]]}}}