Allaire, Frédéric; Mallet, Vivien; Filippi, Jean-Baptiste Novel method for a posteriori uncertainty quantification in wildland fire spread simulation. (English) Zbl 1481.49046 Appl. Math. Modelling 90, 527-546 (2021). MSC: 49Q20 49M25 62P12 PDFBibTeX XMLCite \textit{F. Allaire} et al., Appl. Math. Modelling 90, 527--546 (2021; Zbl 1481.49046) Full Text: DOI
Geiersbach, Caroline; Wollner, Winnifried A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty. (English) Zbl 1452.62599 SIAM J. Sci. Comput. 42, No. 5, A2750-A2772 (2020). MSC: 62L20 35Q93 60H35 49M25 PDFBibTeX XMLCite \textit{C. Geiersbach} and \textit{W. Wollner}, SIAM J. Sci. Comput. 42, No. 5, A2750--A2772 (2020; Zbl 1452.62599) Full Text: DOI arXiv
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. (English) Zbl 1423.35452 Numer. Math. 143, No. 4, 943-984 (2019). MSC: 35R30 49K20 62K05 65K05 49M25 PDFBibTeX XMLCite \textit{I. Neitzel} et al., Numer. Math. 143, No. 4, 943--984 (2019; Zbl 1423.35452) Full Text: DOI arXiv
Kitkuan, Duangkamon; Kumam, Poom; Padcharoen, Anantachai; Kumam, Wiyada; Thounthong, Phatiphat Algorithms for zeros of two accretive operators for solving convex minimization problems and its application to image restoration problems. (English) Zbl 1432.90113 J. Comput. Appl. Math. 354, 471-495 (2019). MSC: 90C25 47H05 47H20 47J25 49M25 62H35 94A08 PDFBibTeX XMLCite \textit{D. Kitkuan} et al., J. Comput. Appl. Math. 354, 471--495 (2019; Zbl 1432.90113) Full Text: DOI
Janon, Alexandre; Nodet, Maëlle; Prieur, Christophe; Prieur, Clémentine Goal-oriented error estimation for parameter-dependent nonlinear problems. (English) Zbl 1401.49040 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705-728 (2018). MSC: 49M30 49M25 62F12 65C20 82C80 35Q53 90C15 PDFBibTeX XMLCite \textit{A. Janon} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 2, 705--728 (2018; Zbl 1401.49040) Full Text: DOI
Kirov, Slav; Slepčev, Dejan Multiple penalized principal curves: analysis and computation. (English) Zbl 1385.49023 J. Math. Imaging Vis. 59, No. 2, 234-256 (2017). MSC: 49M25 65D10 62G99 65D18 65K10 49Q20 PDFBibTeX XMLCite \textit{S. Kirov} and \textit{D. Slepčev}, J. Math. Imaging Vis. 59, No. 2, 234--256 (2017; Zbl 1385.49023) Full Text: DOI arXiv
Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André Optimal design for estimation in diffusion processes from first hitting times. (English) Zbl 1365.62305 SIAM/ASA J. Uncertain. Quantif. 5, 88-110 (2017). MSC: 62K05 60J60 93E20 92C20 92D25 49L20 49M25 PDFBibTeX XMLCite \textit{A. Iolov} et al., SIAM/ASA J. Uncertain. Quantif. 5, 88--110 (2017; Zbl 1365.62305) Full Text: DOI
Arab, Idir; Dahmani, Abdelnasser Kiefer-Wolfowitz algorithm under quasi-associated random errors. (English) Zbl 1369.93727 Commun. Stat., Theory Methods 46, No. 6, 2686-2695 (2017). MSC: 93E25 49M25 80M50 90C27 60F15 62H20 62L20 PDFBibTeX XMLCite \textit{I. Arab} and \textit{A. Dahmani}, Commun. Stat., Theory Methods 46, No. 6, 2686--2695 (2017; Zbl 1369.93727) Full Text: DOI
Bertozzi, Andrea L.; Flenner, Arjuna Diffuse interface models on graphs for classification of high dimensional data. (English) Zbl 1339.68287 SIAM Rev. 58, No. 2, 293-328 (2016). MSC: 68U10 49-04 49M25 62H30 68T10 PDFBibTeX XMLCite \textit{A. L. Bertozzi} and \textit{A. Flenner}, SIAM Rev. 58, No. 2, 293--328 (2016; Zbl 1339.68287) Full Text: DOI
Chen, Si; Reyes, Kristofer-Roy G.; Gupta, Maneesh K.; McAlpine, Michael C.; Powell, Warren B. Optimal learning in experimental design using the knowledge gradient policy with application to characterizing nanoemulsion stability. (English) Zbl 1327.62098 SIAM/ASA J. Uncertain. Quantif. 3, 320-345 (2015). MSC: 62F07 62F15 62K05 49M25 62L05 93E35 PDFBibTeX XMLCite \textit{S. Chen} et al., SIAM/ASA J. Uncertain. Quantif. 3, 320--345 (2015; Zbl 1327.62098) Full Text: DOI Link
Hooker, Giles; Lin, Kevin K.; Rogers, Bruce Control theory and experimental design in diffusion processes. (English) Zbl 1327.62437 SIAM/ASA J. Uncertain. Quantif. 3, 234-264 (2015). MSC: 62K05 62L05 93E20 92C20 92D25 49L20 49M25 PDFBibTeX XMLCite \textit{G. Hooker} et al., SIAM/ASA J. Uncertain. Quantif. 3, 234--264 (2015; Zbl 1327.62437) Full Text: DOI arXiv
Merkurjev, Ekaterina; Kostić, Tijana; Bertozzi, Andrea L. An MBO scheme on graphs for classification and image processing. (English) Zbl 1279.68335 SIAM J. Imaging Sci. 6, No. 4, 1903-1930 (2013). MSC: 68U10 49M25 62H30 91C20 49-04 PDFBibTeX XMLCite \textit{E. Merkurjev} et al., SIAM J. Imaging Sci. 6, No. 4, 1903--1930 (2013; Zbl 1279.68335) Full Text: DOI
Bertozzi, Andrea L.; Flenner, Arjuna Diffuse interface models on graphs for classification of high dimensional data. (English) Zbl 1259.68215 Multiscale Model. Simul. 10, No. 3, 1090-1118 (2012). MSC: 68U10 49-04 49M25 62H30 68T10 PDFBibTeX XMLCite \textit{A. L. Bertozzi} and \textit{A. Flenner}, Multiscale Model. Simul. 10, No. 3, 1090--1118 (2012; Zbl 1259.68215) Full Text: DOI
Carpentier, Pierre; Chancelier, Jean-Philippe; De Lara, Michel Approximations of stochastic optimization problems subject to measurability constraints. (English) Zbl 1178.90257 SIAM J. Optim. 19, No. 4, 1719-1734 (2009). MSC: 90C15 49M25 62L20 PDFBibTeX XMLCite \textit{P. Carpentier} et al., SIAM J. Optim. 19, No. 4, 1719--1734 (2009; Zbl 1178.90257) Full Text: DOI
Leithead, W. E.; Zhang, Yunong \(O(N^{2})\)-operation approximation of covariance matrix inverse in Gaussian process regression based on quasi-Newton BFGS method. (English) Zbl 1113.62104 Commun. Stat., Simulation Comput. 36, No. 2, 367-380 (2007). MSC: 62M10 65C60 60G15 90C90 49M25 PDFBibTeX XMLCite \textit{W. E. Leithead} and \textit{Y. Zhang}, Commun. Stat., Simulation Comput. 36, No. 2, 367--380 (2007; Zbl 1113.62104) Full Text: DOI