{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T05:23:24Z","timestamp":1772515404686,"version":"3.50.1"},"reference-count":66,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["CRC 1114"],"award-info":[{"award-number":["CRC 1114"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["235221301"],"award-info":[{"award-number":["235221301"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["B03"],"award-info":[{"award-number":["B03"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["A01"],"award-info":[{"award-number":["A01"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2046"],"award-info":[{"award-number":["EXC 2046"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["AA1-2"],"award-info":[{"award-number":["AA1-2"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EF4-8"],"award-info":[{"award-number":["EF4-8"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Multiscale Model. Simul."],"published-print":{"date-parts":[[2023,6,30]]},"DOI":"10.1137\/21m1448367","type":"journal-article","created":{"date-parts":[[2023,4,25]],"date-time":"2023-04-25T08:18:29Z","timestamp":1682410709000},"page":"449-488","source":"Crossref","is-referenced-by-count":10,"title":["Optimal Reaction Coordinates: Variational Characterization and Sparse Computation"],"prefix":"10.1137","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8909-6069","authenticated-orcid":true,"given":"Andreas","family":"Bittracher","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany."}]},{"given":"Mattes","family":"Mollenhauer","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8127-6804","authenticated-orcid":true,"given":"P\u00e9ter","family":"Koltai","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany."}]},{"given":"Christof","family":"Sch\u00fctte","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany."},{"name":"Zuse Institute Berlin, D-14195 Berlin, Germany."}]}],"member":"351","published-online":{"date-parts":[[2023,4,25]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-4730(02)00047-4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(79)90077-9"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1063\/1.5035183"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-020-09668-z"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/14099872X"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-017-9415-0"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/s10051-021-00200-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132799"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-51264-4_6"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/22"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20210"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2006.04.006"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020560427405"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142996313002"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/S0024-3795(00)00095-1"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2004.10.026"},{"key":"ref20","first-page":"2153","volume":"6","author":"Drineas P.","year":"2005","journal-title":"J. Mach. Learn. Res."},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-005-9003-9"},{"key":"ref22","volume-title":"Geometric Measure Theory","author":"Federer H.","year":"2014"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4948-7"},{"key":"ref24","volume-title":"Partial Differential Equations of Parabolic Type","author":"Friedman A.","year":"2008"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/130943637"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1142\/S0219876218300015"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"399","DOI":"10.4171\/jems\/14","volume":"6","author":"Gayrard V.","year":"2004","journal-title":"J. Eur. Math. Soc. (JEMS)"},{"key":"ref28","first-page":"723","volume":"13","author":"Gretton A.","year":"2012","journal-title":"J. Mach. Learn. Res."},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050450"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/090771806"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1142\/4031"},{"key":"ref32","volume-title":"Monte Carlo Methods","author":"Kalos M. H.","year":"2009"},{"key":"ref33","volume-title":"Finite Markov Chains","author":"Kemeny J.","year":"1976"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s40687-018-0160-2"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-017-9437-7"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132416"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-019-09574-z"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab1f2a"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/17M1146403"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1515\/9783110844641"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1145\/3065386"},{"key":"ref42","first-page":"1","volume":"32","author":"Kusuoka S.","year":"1985","journal-title":"J. Fac. Sci. Univ. Tokyo Sect. IA Math."},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1038\/nature14539"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2012-02594-4"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s00211-019-01056-4"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1063\/1.2212942"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-017-02388-1"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1063\/1.4974306"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1063\/1.2335447"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.3634"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1126\/science.aaw1147"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2008.11.002"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.3390\/e23020134"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1063\/5.0030931"},{"key":"ref56","volume-title":"Multiscale Methods: Averaging and Homogenization","author":"Pavliotis G. A.","year":"2008"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1063\/1.4811489"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1063\/5.0015132"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3071-5"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1214\/154957804100000024"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.3390\/e16010258"},{"key":"ref65","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/4175.001.0001","volume-title":"Learning with Kernels: Support Vector Machines, Regularization, Optimization and Beyond","author":"Sch\u00f6lkopf B.","year":"2001"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1999.6231"},{"key":"ref67","series-title":"Courant Lect. Notes Math.","volume-title":"Metastability and Markov State Models in Molecular Dynamics: Modeling, Analysis, Algorithmic Approaches","author":"Sch\u00fctte C.","year":"2014"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-019-1923-7"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0905547106"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1137\/18M1183480"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2012.09.029"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1063\/1.5011399"},{"key":"ref73","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195140187.001.0001","volume-title":"Nonequilibrium Statistical Mechanics","author":"Zwanzig R.","year":"2001"}],"container-title":["Multiscale Modeling &amp; Simulation"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,10,19]],"date-time":"2024-10-19T04:12:51Z","timestamp":1729311171000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1448367"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,25]]},"references-count":66,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,6,30]]}},"alternative-id":["10.1137\/21M1448367"],"URL":"https:\/\/doi.org\/10.1137\/21m1448367","relation":{},"ISSN":["1540-3459","1540-3467"],"issn-type":[{"value":"1540-3459","type":"print"},{"value":"1540-3467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,25]]}}}