Alexanderian, Alen Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review. (English) Zbl 1461.62129 Inverse Probl. 37, No. 4, Article ID 043001, 31 p. (2021). MSC: 62K05 62F15 46N10 35Q62 62-08 PDFBibTeX XMLCite \textit{A. Alexanderian}, Inverse Probl. 37, No. 4, Article ID 043001, 31 p. (2021; Zbl 1461.62129) Full Text: DOI arXiv
Herman, Elizabeth; Alexanderian, Alen; Saibaba, Arvind K. Randomization and reweighted \(\ell_1\)-minimization for A-optimal design of linear inverse problems. (English) Zbl 1442.62175 SIAM J. Sci. Comput. 42, No. 3, A1714-A1740 (2020). MSC: 62K05 62-08 62F15 35Q62 35R30 68W20 PDFBibTeX XMLCite \textit{E. Herman} et al., SIAM J. Sci. Comput. 42, No. 3, A1714--A1740 (2020; Zbl 1442.62175) Full Text: DOI arXiv
Koval, Karina; Alexanderian, Alen; Stadler, Georg Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. (English) Zbl 1443.62213 Inverse Probl. 36, No. 7, Article ID 075007, 23 p. (2020). MSC: 62K05 62F15 35R30 62P35 PDFBibTeX XMLCite \textit{K. Koval} et al., Inverse Probl. 36, No. 7, Article ID 075007, 23 p. (2020; Zbl 1443.62213) Full Text: DOI arXiv
Saibaba, Arvind K.; Bardsley, Johnathan; Brown, D. Andrew; Alexanderian, Alen Efficient marginalization-based MCMC methods for hierarchical Bayesian inverse problems. (English) Zbl 07118424 SIAM/ASA J. Uncertain. Quantif. 7, 1105-1131 (2019). MSC: 65C05 65C60 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., SIAM/ASA J. Uncertain. Quantif. 7, 1105--1131 (2019; Zbl 07118424) Full Text: DOI arXiv
Alexanderian, Alen; Saibaba, Arvind K. Efficient D-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems. (English) Zbl 1401.62123 SIAM J. Sci. Comput. 40, No. 5, A2956-A2985 (2018). MSC: 62K05 62F15 35Q62 65C60 PDFBibTeX XMLCite \textit{A. Alexanderian} and \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 40, No. 5, A2956--A2985 (2018; Zbl 1401.62123) Full Text: DOI arXiv
Attia, Ahmed; Alexanderian, Alen; Saibaba, Arvind K. Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems. (English) Zbl 1475.65037 Inverse Probl. 34, No. 9, Article ID 095009, 31 p. (2018). MSC: 65K05 62F15 65F22 90C30 PDFBibTeX XMLCite \textit{A. Attia} et al., Inverse Probl. 34, No. 9, Article ID 095009, 31 p. (2018; Zbl 1475.65037) Full Text: DOI arXiv
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. (English) Zbl 1391.93289 SIAM/ASA J. Uncertain. Quantif. 5, 1166-1192 (2017). MSC: 93E20 93C20 60H15 60H35 35Q93 35R60 65K10 PDFBibTeX XMLCite \textit{A. Alexanderian} et al., SIAM/ASA J. Uncertain. Quantif. 5, 1166--1192 (2017; Zbl 1391.93289) Full Text: DOI arXiv
Saibaba, Arvind K.; Alexanderian, Alen; Ipsen, Ilse C. F. Randomized matrix-free trace and log-determinant estimators. (English) Zbl 1378.65094 Numer. Math. 137, No. 2, 353-395 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F40 68W20 65F15 65F25 65F35 15B52 62F15 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Numer. Math. 137, No. 2, 353--395 (2017; Zbl 1378.65094) Full Text: DOI arXiv