{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T20:49:51Z","timestamp":1768682991978,"version":"3.49.0"},"reference-count":70,"publisher":"Springer Science and Business Media LLC","issue":"5-6","license":[{"start":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T00:00:00Z","timestamp":1562112000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T00:00:00Z","timestamp":1562112000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100006831","name":"U.S. Air Force","doi-asserted-by":"publisher","award":["FA9550-15-1-0038"],"award-info":[{"award-number":["FA9550-15-1-0038"]}],"id":[{"id":"10.13039\/100006831","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006831","name":"U.S. Air Force","doi-asserted-by":"crossref","award":["FA9550-15-1-0038"],"award-info":[{"award-number":["FA9550-15-1-0038"]}],"id":[{"id":"10.13039\/100006831","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2019,12]]},"DOI":"10.1007\/s10444-019-09711-y","type":"journal-article","created":{"date-parts":[[2019,7,3]],"date-time":"2019-07-03T11:03:21Z","timestamp":1562151801000},"page":"2321-2348","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["A transport-based multifidelity preconditioner for Markov chain Monte Carlo"],"prefix":"10.1007","volume":"45","author":[{"given":"Benjamin","family":"Peherstorfer","sequence":"first","affiliation":[]},{"given":"Youssef","family":"Marzouk","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,7,3]]},"reference":[{"issue":"1","key":"9711_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1615\/Int.J.UncertaintyQuantification.2013004121","volume":"4","author":"D Allaire","year":"2014","unstructured":"Allaire, D., Willcox, K.: A mathematical and computational framework for multifidelity design and analysis with computer models. Int. J. Uncertain. Quantif. 4(1), 1\u201320 (2014)","journal-title":"Int. J. Uncertain. Quantif."},{"issue":"12","key":"9711_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2002WR001810","volume":"39","author":"S Balakrishnan","year":"2003","unstructured":"Balakrishnan, S., Roy, A., Ierapetritou, M.G., Flach, G.P., Georgopoulos, P.G.: Uncertainty reduction and characterization for complex environmental fate and transport models: an empirical Bayesian framework incorporating the stochastic response surface method. Water Resour. Res. 39(12), 1\u201313 (2003)","journal-title":"Water Resour. Res."},{"issue":"4","key":"9711_CR3","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1137\/130932715","volume":"57","author":"P Benner","year":"2015","unstructured":"Benner, P., Gugercin, S., Willcox, K.: A survey of projection-based model reduction methods for parametric dynamical systems. SIAM Rev. 57(4), 483\u2013531 (2015)","journal-title":"SIAM Rev."},{"issue":"5","key":"9711_CR4","doi-asserted-by":"crossref","first-page":"1417","DOI":"10.1016\/j.spa.2016.08.004","volume":"127","author":"A Beskos","year":"2017","unstructured":"Beskos, A., Jasra, A., Law, K., Tempone, R., Zhou, Y.: Multilevel sequential Monte Carlo samplers. Stochastic Processes and their Applications 127 (5), 1417\u20131440 (2017)","journal-title":"Stochastic Processes and their Applications"},{"key":"9711_CR5","unstructured":"Bigoni, D., Spantini, A., Morrison, R., Baptista, R.M.: Documentation of TransportMaps software package. Tech. rep., Uncertainty Quantification Group, Massachusetts Institute of Technology. http:\/\/transportmaps.mit.edu (2018)"},{"issue":"1","key":"9711_CR6","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1137\/120874850","volume":"45","author":"N Bonnotte","year":"2013","unstructured":"Bonnotte, N.: From Knothe\u2019s rearrangement to Brenier\u2019s optimal transport map. SIAM J. Math. Anal. 45(1), 64\u201387 (2013)","journal-title":"SIAM J. Math. Anal."},{"key":"9711_CR7","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.cma.2012.05.003","volume":"241\u2013244","author":"S Boyaval","year":"2012","unstructured":"Boyaval, S.: A fast Monte\u2013Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation. Comput. Methods Appl. Mech. Eng. 241\u2013244, 190\u2013205 (2012)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"3","key":"9711_CR8","doi-asserted-by":"crossref","first-page":"735","DOI":"10.4310\/CMS.2010.v8.n3.a7","volume":"8","author":"S Boyaval","year":"2010","unstructured":"Boyaval, S., Leli\u00e8vre, T.: A variance reduction method for parametrized stochastic differential equations using the reduced basis paradigm. Commun. Math. Sci. 8(3), 735\u2013762 (2010)","journal-title":"Commun. Math. Sci."},{"key":"9711_CR9","doi-asserted-by":"crossref","DOI":"10.1201\/b10905","volume-title":"Handbook of Markov Chain Monte Carlo","author":"S Brooks","year":"2011","unstructured":"Brooks, S., Gelman, A., Jones, G.L., Meng, X.L.: Handbook of Markov Chain Monte Carlo. Chapman and Hall\/CRC, London (2011)"},{"key":"9711_CR10","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1017\/S0962492904000182","volume":"13","author":"HJ Bungartz","year":"2004","unstructured":"Bungartz, H.J., Griebel, M.: Sparse grids. Acta Numerica 13, 147\u2013269 (2004)","journal-title":"Acta Numerica"},{"issue":"6","key":"9711_CR11","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1137\/080740647","volume":"41","author":"G Carlier","year":"2010","unstructured":"Carlier, G., Galichon, A., Santambrogio, F.: From Knothe\u2019s transport to Brenier\u2019s map and a continuation method for optimal transport. SIAM J. Math. Anal. 41(6), 2554\u20132576 (2010)","journal-title":"SIAM J. Math. Anal."},{"key":"9711_CR12","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.cma.2013.08.016","volume":"267","author":"P Chen","year":"2013","unstructured":"Chen, P., Quarteroni, A.: Accurate and efficient evaluation of failure probability for partial different equations with random input data. Comput. Methods Appl. Mech. Eng. 267, 233\u2013260 (2013)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"9711_CR13","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1137\/151004550","volume":"5","author":"P Chen","year":"2017","unstructured":"Chen, P., Quarteroni, A., Rozza, G.: Reduced basis methods for uncertainty quantification. SIAM\/ASA J. Uncertain. Quantif. 5(1), 813\u2013869 (2017)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"key":"9711_CR14","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.cma.2015.08.006","volume":"297","author":"P Chen","year":"2015","unstructured":"Chen, P., Schwab, C.: Sparse-grid, reduced-basis Bayesian inversion. Comput. Methods Appl. Mech. Eng. 297, 84\u2013115 (2015)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"4","key":"9711_CR15","doi-asserted-by":"crossref","first-page":"795","DOI":"10.1198\/106186005X76983","volume":"14","author":"JA Christen","year":"2005","unstructured":"Christen, J.A., Fox, C.: Markov chain Monte Carlo using an approximation. J. Comput. Graph. Stat. 14(4), 795\u2013810 (2005)","journal-title":"J. Comput. Graph. Stat."},{"issue":"1","key":"9711_CR16","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1137\/16M1084080","volume":"6","author":"P Conrad","year":"2018","unstructured":"Conrad, P., Davis, A., Marzouk, Y., Pillai, N., Smith, A.: Parallel local approximation MCMC for expensive models. SIAM\/ASA J. Uncertain. Quantif. 6 (1), 339\u2013373 (2018)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"issue":"516","key":"9711_CR17","doi-asserted-by":"crossref","first-page":"1591","DOI":"10.1080\/01621459.2015.1096787","volume":"111","author":"PR Conrad","year":"2016","unstructured":"Conrad, P.R., Marzouk, Y., Pillai, N.S., Smith, A.: Accelerating asymptotically exact MCMC for computationally intensive models via local approximations. J. Am. Stat. Assoc. 111(516), 1591\u20131607 (2016)","journal-title":"J. Am. Stat. Assoc."},{"issue":"3","key":"9711_CR18","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes, C., Vapnik, V.: Support-vector networks. Mach. Learn. 20(3), 273\u2013297 (1995)","journal-title":"Mach. Learn."},{"issue":"1","key":"9711_CR19","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1137\/090770734","volume":"48","author":"S Cotter","year":"2010","unstructured":"Cotter, S., Dashti, M., Stuart, A.: Approximation of Bayesian inverse problems for PDEs. SIAM J. Numer. Anal. 48(1), 322\u2013345 (2010)","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"9711_CR20","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1002\/nme.4748","volume":"102","author":"T Cui","year":"2015","unstructured":"Cui, T., Marzouk, Y., Willcox, K.: Data-driven model reduction for the Bayesian solution of inverse problems. Int. J. Numer. Methods Eng. 102(5), 966\u2013990 (2015)","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"1","key":"9711_CR21","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1137\/130915005","volume":"3","author":"TJ Dodwell","year":"2015","unstructured":"Dodwell, T.J., Ketelsen, C., Scheichl, R., Teckentrup, A.L.: A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow. SIAM\/ASA J. Uncertain. Quantif. 3 (1), 1075\u20131108 (2015)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"issue":"1","key":"9711_CR22","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1137\/140969841","volume":"3","author":"M Drohmann","year":"2015","unstructured":"Drohmann, M., Carlberg, K.: The ROMES method for statistical modeling of reduced-order-model error. SIAM\/ASA J. Uncertain. Quantif. 3(1), 116\u2013145 (2015)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"issue":"2","key":"9711_CR23","doi-asserted-by":"crossref","first-page":"776","DOI":"10.1137\/050628568","volume":"28","author":"Y Efendiev","year":"2006","unstructured":"Efendiev, Y., Hou, T., Luo, W.: Preconditioning Markov chain Monte Carlo simulations using coarse-scale models. SIAM J. Sci. Comput. 28(2), 776\u2013803 (2006)","journal-title":"SIAM J. Sci. Comput."},{"key":"9711_CR24","first-page":"1","volume-title":"Handbook of Uncertainty Quantification","author":"Michael S. Eldred","year":"2015","unstructured":"Eldred, M.S., Ng, L.W.T., Barone, M.F., Domino, S.P.: Multifidelity uncertainty quantification using spectral stochastic discrepancy models. In: Ghanem, R., Higdon, D., Owhadi, H. (eds.) Handbook of Uncertainty Quantification, pp 1\u201345. Springer, Cham (2016)"},{"issue":"1\u20133","key":"9711_CR25","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.paerosci.2008.11.001","volume":"45","author":"AIJ Forrester","year":"2009","unstructured":"Forrester, A.I.J., Keane, A.J.: Recent advances in surrogate-based optimization. Prog. Aerosp. Sci. 45(1\u20133), 50\u201379 (2009)","journal-title":"Prog. Aerosp. Sci."},{"key":"9711_CR26","first-page":"123","volume-title":"Surrogate and Reduced-Order Modeling: a Comparison of Approaches for Large-Scale Statistical Inverse Problems","author":"M Frangos","year":"2010","unstructured":"Frangos, M., Marzouk, Y., Willcox, K., van Bloemen Waanders, B.: Surrogate and Reduced-Order Modeling: a Comparison of Approaches for Large-Scale Statistical Inverse Problems, pp 123\u2013149. Wiley, New York (2010)"},{"key":"9711_CR27","volume-title":"Markov Chain Monte Carlo in Practice","author":"WR Gilks","year":"1996","unstructured":"Gilks, W.R., Richardson, S., Spiegelhalter, D.J.: Markov Chain Monte Carlo in Practice. Chapman & Hall, London (1996)"},{"issue":"8","key":"9711_CR28","doi-asserted-by":"crossref","first-page":"748","DOI":"10.1080\/00207170410001713448","volume":"77","author":"S Gugercin","year":"2004","unstructured":"Gugercin, S., Antoulas, A.: A survey of model reduction by balanced truncation and some new results. Int. J. Control. 77(8), 748\u2013766 (2004)","journal-title":"Int. J. Control."},{"issue":"4","key":"9711_CR29","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/s11222-006-9438-0","volume":"16","author":"H Haario","year":"2006","unstructured":"Haario, H., Laine, M., Mira, A., Saksman, E.: DRAM: efficient adaptive MCMC. Stat. Comput. 16(4), 339\u2013354 (2006)","journal-title":"Stat. Comput."},{"issue":"2","key":"9711_CR30","doi-asserted-by":"crossref","first-page":"223","DOI":"10.2307\/3318737","volume":"7","author":"H Haario","year":"2001","unstructured":"Haario, H., Saksman, E., Tamminen, J.: An adaptive Metropolis algorithm. Bernoulli 7(2), 223\u2013242 (2001)","journal-title":"Bernoulli"},{"key":"9711_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/b138659","volume-title":"Statistical and Computational Inverse Problems","author":"J Kaipio","year":"2005","unstructured":"Kaipio, J., Somersalo, E.: Statistical and Computational Inverse Problems. Springer, Berlin (2005)"},{"key":"9711_CR32","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1016\/j.jcp.2018.04.014","volume":"368","author":"J Latz","year":"2018","unstructured":"Latz, J., Papaioannou, I., Ullmann, E.: Multilevel sequential2 Monte Carlo for Bayesian inverse problems. J. Comput. Phys. 368, 154\u2013178 (2018)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"9711_CR33","doi-asserted-by":"crossref","first-page":"A1163","DOI":"10.1137\/130938189","volume":"36","author":"J Li","year":"2014","unstructured":"Li, J., Marzouk, Y.: Adaptive construction of surrogates for the Bayesian solution of inverse problems. SIAM J. Sci. Comput. 36(3), A1163\u2013A1186 (2014)","journal-title":"SIAM J. Sci. Comput."},{"issue":"5","key":"9711_CR34","doi-asserted-by":"crossref","first-page":"2523","DOI":"10.1137\/090775622","volume":"32","author":"C Lieberman","year":"2010","unstructured":"Lieberman, C., Willcox, K., Ghattas, O.: Parameter and state model reduction for large-scale statistical inverse problems. SIAM J. Sci. Comput. 32(5), 2523\u20132542 (2010)","journal-title":"SIAM J. Sci. Comput."},{"key":"9711_CR35","volume-title":"Monte Carlo Strategies in Scientific Computing","author":"JS Liu","year":"2008","unstructured":"Liu, J.S.: Monte Carlo Strategies in Scientific Computing. Springer, Berlin (2008)"},{"issue":"1","key":"9711_CR36","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1137\/140995817","volume":"4","author":"A Manzoni","year":"2016","unstructured":"Manzoni, A., Pagani, S., Lassila, T.: Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. SIAM\/ASA J. Uncertain. Quantif. 4(1), 380\u2013412 (2016)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"key":"9711_CR37","first-page":"1","volume-title":"Handbook of Uncertainty Quantification","author":"Youssef Marzouk","year":"2016","unstructured":"Marzouk, Y., Moselhy, T., Parno, M., Spantini, A.: Sampling via measure transport: an introduction. In: Ghanem, R., Higdon, D., Owhadi, H. (eds.) Handbook of Uncertainty Quantification, pp 1\u201341. Springer, Cham (2016)"},{"issue":"6","key":"9711_CR38","doi-asserted-by":"crossref","first-page":"1862","DOI":"10.1016\/j.jcp.2008.11.024","volume":"228","author":"Y Marzouk","year":"2009","unstructured":"Marzouk, Y., Najm, H.N.: Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems. J. Comput. Phys. 228(6), 1862\u20131902 (2009)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"9711_CR39","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1016\/j.jcp.2006.10.010","volume":"224","author":"Y Marzouk","year":"2007","unstructured":"Marzouk, Y., Najm, H.N., Rahn, L.A.: Stochastic spectral methods for efficient Bayesian solution of inverse problems. J. Comput. Phys. 224(2), 560\u2013586 (2007)","journal-title":"J. Comput. Phys."},{"key":"9711_CR40","doi-asserted-by":"crossref","first-page":"826","DOI":"10.4208\/cicp.2009.v6.p826","volume":"6","author":"Y Marzouk","year":"2009","unstructured":"Marzouk, Y., Xiu, D.: A stochastic collocation approach to Bayesian inference in inverse problems. Commun. Comput. Phys. 6, 826\u2013847 (2009)","journal-title":"Commun. Comput. Phys."},{"issue":"23","key":"9711_CR41","doi-asserted-by":"crossref","first-page":"7815","DOI":"10.1016\/j.jcp.2012.07.022","volume":"231","author":"TAE Moselhy","year":"2012","unstructured":"Moselhy, T.A.E., Marzouk, Y.: Bayesian inference with optimal maps. J. Comput. Phys. 231(23), 7815\u20137850 (2012)","journal-title":"J. Comput. Phys."},{"issue":"10","key":"9711_CR42","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1002\/nme.4761","volume":"100","author":"L Ng","year":"2014","unstructured":"Ng, L., Willcox, K.: Multifidelity approaches for optimization under uncertainty. Int. J. Numer. Methods Eng. 100(10), 746\u2013772 (2014)","journal-title":"Int. J. Numer. Methods Eng."},{"key":"9711_CR43","doi-asserted-by":"crossref","unstructured":"Ng, L., Willcox, K.: Monte-carlo information-reuse approach to aircraft conceptual design optimization under uncertainty. J. Aircr., 1\u201312 (2015)","DOI":"10.2514\/6.2014-0802"},{"key":"9711_CR44","unstructured":"Parno, M.: Transport maps for accelerated Bayesian computation. Ph.D. thesis Massachusetts Institute of Technology (2015)"},{"issue":"2","key":"9711_CR45","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1137\/17M1134640","volume":"6","author":"M Parno","year":"2018","unstructured":"Parno, M., Marzouk, Y.: Transport map accelerated Markov chain Monte Carlo. SIAM\/ASA J. Uncertain. Quantif. 6(2), 645\u2013682 (2018)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"key":"9711_CR46","doi-asserted-by":"crossref","unstructured":"Peherstorfer, B.: Multifidelity Monte Carlo estimation with adaptive low-fidelity models. SIAM\/ASA J. Uncertain. Quantif. (accepted) (2019)","DOI":"10.1137\/17M1159208"},{"key":"9711_CR47","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.cma.2015.12.002","volume":"300","author":"B Peherstorfer","year":"2016","unstructured":"Peherstorfer, B., Cui, T., Marzouk, Y., Willcox, K.: Multifidelity importance sampling. Comput. Methods Appl. Mech. Eng. 300, 490\u2013509 (2016)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"9711_CR48","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1137\/17M1122992","volume":"6","author":"B Peherstorfer","year":"2018","unstructured":"Peherstorfer, B., Kramer, B., Willcox, K.: Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. SIAM\/ASA J. Uncertain. Quantif. 6(2), 737\u2013761 (2018)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"issue":"5","key":"9711_CR49","doi-asserted-by":"crossref","first-page":"A3163","DOI":"10.1137\/15M1046472","volume":"38","author":"B Peherstorfer","year":"2016","unstructured":"Peherstorfer, B., Willcox, K., Gunzburger, M.: Optimal model management for multifidelity Monte Carlo estimation. SIAM J. Sci. Comput. 38(5), A3163\u2013A3194 (2016)","journal-title":"SIAM J. Sci. Comput."},{"key":"9711_CR50","doi-asserted-by":"crossref","unstructured":"Peherstorfer, B., Willcox, K., Gunzburger, M.: Survey of multifidelity methods in uncertainty propagation, inference, and optimization. SIAM Rev. (2018)","DOI":"10.1137\/16M1082469"},{"issue":"5","key":"9711_CR51","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1016\/j.jco.2010.04.001","volume":"26","author":"D Pfl\u00fcger","year":"2010","unstructured":"Pfl\u00fcger, D., Peherstorfer, B., Bungartz, H.: Spatially adaptive sparse grids for high-dimensional data-driven problems. J. Complex. 26(5), 508\u2013522 (2010)","journal-title":"J. Complex."},{"issue":"2","key":"9711_CR52","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1137\/17M1151006","volume":"6","author":"E Qian","year":"2018","unstructured":"Qian, E., Peherstorfer, B., O\u2019Malley, D., Vesselinov, V.V., Willcox, K.: Multifidelity Monte Carlo estimation of variance and sensitivity indices. SIAM\/ASA J. Uncertain. Quantif. 6(2), 683\u2013706 (2018)","journal-title":"SIAM\/ASA J. Uncertain. Quantif."},{"key":"9711_CR53","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4145-2","volume-title":"Monte Carlo Statistical Methods","author":"CP Robert","year":"2004","unstructured":"Robert, C.P., Casella, G.: Monte Carlo Statistical Methods. Springer, Berlin (2004)"},{"issue":"2","key":"9711_CR54","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1198\/jcgs.2009.06134","volume":"18","author":"GO Roberts","year":"2009","unstructured":"Roberts, G.O., Rosenthal, J.S.: Examples of adaptive MCMC. J. Comput. Graph. Stat. 18(2), 349\u2013367 (2009)","journal-title":"J. Comput. Graph. Stat."},{"issue":"3","key":"9711_CR55","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1214\/aoms\/1177729394","volume":"23","author":"M Rosenblatt","year":"1952","unstructured":"Rosenblatt, M.: Remarks on a multivariate transformation. Ann. Math. Statist. 23(3), 470\u2013472 (1952)","journal-title":"Ann. Math. Statist."},{"issue":"3","key":"9711_CR56","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF03024948","volume":"15","author":"G Rozza","year":"2007","unstructured":"Rozza, G., Huynh, D., Patera, A.: Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Arch. Comput. Meth. Eng. 15(3), 1\u201347 (2007)","journal-title":"Arch. Comput. Meth. Eng."},{"key":"9711_CR57","unstructured":"Santin, G., Wittwar, D., Haasdonk, B.: Greedy regularized kernel interpolation. arXiv: 1807.09575 (2018)"},{"key":"9711_CR58","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1090\/qam\/910462","volume":"45","author":"L Sirovich","year":"1987","unstructured":"Sirovich, L.: Turbulence and the dynamics of coherent structures. Q. Appl. Math. 45, 561\u2013571 (1987)","journal-title":"Q. Appl. Math."},{"key":"9711_CR59","doi-asserted-by":"crossref","DOI":"10.1002\/0471722138","volume-title":"Introduction to Stochastic Search and Optimization, Estimation, Simulation, and Control","author":"J Spall","year":"2003","unstructured":"Spall, J.: Introduction to Stochastic Search and Optimization, Estimation, Simulation, and Control. Wiley, New York (2003)"},{"key":"9711_CR60","unstructured":"Spantini, A.: On the low-dimensional structure of Bayesian inference. Ph.D. thesis Massachusetts Institute of Technology (2017)"},{"issue":"66","key":"9711_CR61","first-page":"1","volume":"19","author":"A Spantini","year":"2018","unstructured":"Spantini, A., Bigoni, D., Marzouk, Y.: Inference via low-dimensional couplings. J. Mach. Learn. Res. 19(66), 1\u201371 (2018)","journal-title":"J. Mach. Learn. Res."},{"key":"9711_CR62","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1017\/S0962492910000061","volume":"19","author":"AM Stuart","year":"2010","unstructured":"Stuart, A.M.: Inverse problems: a Bayesian perspective. Acta Numerica 19, 451\u2013559 (2010)","journal-title":"Acta Numerica"},{"key":"9711_CR63","volume-title":"Inverse Problem Theory","author":"A Tarantola","year":"1987","unstructured":"Tarantola, A.: Inverse Problem Theory. Elsevier, Amsterdam (1987)"},{"issue":"4","key":"9711_CR64","doi-asserted-by":"crossref","first-page":"1701","DOI":"10.1214\/aos\/1176325750","volume":"22","author":"L Tierney","year":"1994","unstructured":"Tierney, L.: Markov chains for exploring posterior distributions. Ann. Statist. 22(4), 1701\u20131728 (1994)","journal-title":"Ann. Statist."},{"key":"9711_CR65","volume-title":"Statistical Learning Theory","author":"V Vapnik","year":"1998","unstructured":"Vapnik, V.: Statistical Learning Theory. Wiley, New York (1998)"},{"issue":"4","key":"9711_CR66","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00283-013-9380-x","volume":"35","author":"AM Vershik","year":"2013","unstructured":"Vershik, A.M.: Long history of the Monge-Kantorovich transportation problem. Math. Intell. 35(4), 1\u20139 (2013)","journal-title":"Math. Intell."},{"key":"9711_CR67","doi-asserted-by":"crossref","unstructured":"Villani, C.: Topics in optimal transportation. American Mathematical Society (2003)","DOI":"10.1090\/gsm\/058"},{"key":"9711_CR68","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-71050-9","volume-title":"Optimal Transport: Old and New","author":"C Villani","year":"2009","unstructured":"Villani, C.: Optimal Transport: Old and New. Springer, Berlin (2009)"},{"issue":"1","key":"9711_CR69","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.ijheatmasstransfer.2004.08.009","volume":"48","author":"J Wang","year":"2005","unstructured":"Wang, J., Zabaras, N.: Using Bayesian statistics in the estimation of heat source in radiation. Int. J. Heat Mass Transf. 48(1), 15\u201329 (2005)","journal-title":"Int. J. Heat Mass Transf."},{"key":"9711_CR70","first-page":"83","volume":"6","author":"D Wirtz","year":"2013","unstructured":"Wirtz, D., Haasdonk, B.: A vectorial kernel orthogonal greedy algorithm. Dolomites Research Notes on Approximation 6, 83\u2013100 (2013)","journal-title":"Dolomites Research Notes on Approximation"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-019-09711-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-019-09711-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-019-09711-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,17]],"date-time":"2023-09-17T23:16:13Z","timestamp":1694992573000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-019-09711-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,3]]},"references-count":70,"journal-issue":{"issue":"5-6","published-print":{"date-parts":[[2019,12]]}},"alternative-id":["9711"],"URL":"https:\/\/doi.org\/10.1007\/s10444-019-09711-y","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,3]]},"assertion":[{"value":"8 August 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 June 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}