Zahm, Olivier; Cui, Tiangang; Law, Kody; Spantini, Alessio; Marzouk, Youssef Certified dimension reduction in nonlinear Bayesian inverse problems. (English) Zbl 07541892 Math. Comput. 91, No. 336, 1789-1835 (2022). MSC: 62C10 91G60 41-02 PDFBibTeX XMLCite \textit{O. Zahm} et al., Math. Comput. 91, No. 336, 1789--1835 (2022; Zbl 07541892) Full Text: DOI arXiv
Spantini, Alessio; Bigoni, Daniele; Marzouk, Youssef Inference via low-dimensional couplings. (English) Zbl 1480.62114 J. Mach. Learn. Res. 19, Paper No. 66, 71 p. (2018). MSC: 62H22 60B05 PDFBibTeX XMLCite \textit{A. Spantini} et al., J. Mach. Learn. Res. 19, Paper No. 66, 71 p. (2018; Zbl 1480.62114) Full Text: arXiv Link
Parno, Matthew D.; Marzouk, Youssef M. Transport map accelerated Markov chain Monte Carlo. (English) Zbl 1394.65004 SIAM/ASA J. Uncertain. Quantif. 6, 645-682 (2018). MSC: 65C05 65C40 62F15 PDFBibTeX XMLCite \textit{M. D. Parno} and \textit{Y. M. Marzouk}, SIAM/ASA J. Uncertain. Quantif. 6, 645--682 (2018; Zbl 1394.65004) Full Text: DOI arXiv
Wang, Zheng; Bardsley, Johnathan M.; Solonen, Antti; Cui, Tiangang; Marzouk, Youssef M. Bayesian inverse problems with \(l_1\) priors: a randomize-then-optimize approach. (English) Zbl 1422.65028 SIAM J. Sci. Comput. 39, No. 5, S140-S166 (2017). MSC: 65C60 62F15 65C05 65J22 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Sci. Comput. 39, No. 5, S140--S166 (2017; Zbl 1422.65028) Full Text: DOI arXiv
Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef A multiscale strategy for Bayesian inference using transport maps. (English) Zbl 1356.62038 SIAM/ASA J. Uncertain. Quantif. 4, 1160-1190 (2016). MSC: 62F15 65N21 86A22 62P35 PDFBibTeX XMLCite \textit{M. Parno} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1160--1190 (2016; Zbl 1356.62038) Full Text: DOI arXiv
Cui, Tiangang; Marzouk, Youssef; Willcox, Karen Scalable posterior approximations for large-scale Bayesian inverse problems via likelihood-informed parameter and state reduction. (English) Zbl 1349.65189 J. Comput. Phys. 315, 363-387 (2016). MSC: 65J22 65C05 62F15 PDFBibTeX XMLCite \textit{T. Cui} et al., J. Comput. Phys. 315, 363--387 (2016; Zbl 1349.65189) Full Text: DOI arXiv
Cui, Tiangang; Law, Kody J. H.; Marzouk, Youssef M. Dimension-independent likelihood-informed MCMC. (English) Zbl 1349.65009 J. Comput. Phys. 304, 109-137 (2016). MSC: 65C05 65C60 62F15 60H35 PDFBibTeX XMLCite \textit{T. Cui} et al., J. Comput. Phys. 304, 109--137 (2016; Zbl 1349.65009) Full Text: DOI arXiv
El Moselhy, Tarek A.; Marzouk, Youssef M. Bayesian inference with optimal maps. (English) Zbl 1318.62087 J. Comput. Phys. 231, No. 23, 7815-7850 (2012). MSC: 62F15 PDFBibTeX XMLCite \textit{T. A. El Moselhy} and \textit{Y. M. Marzouk}, J. Comput. Phys. 231, No. 23, 7815--7850 (2012; Zbl 1318.62087) Full Text: DOI arXiv