SIAM/ASA Journal on Uncertainty Quantification Short Title: SIAM/ASA J. Uncertain. Quantif. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA; American Statistical Association (ASA), Alexandria, VA ISSN: 2166-2525/e Online: http://epubs.siam.org/loi/sjuqa3 Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2013). Documents Indexed: 528 Publications (since 2013) References Indexed: 463 Publications with 20,015 References. all top 5 Latest Issues 11 (2023) 10 (2022) 9 (2021) 8 (2020) 7 (2019) 6 (2018) 5 (2017) 4 (2016) 3 (2015) 2 (2014) 1 (2013) all top 5 Authors 8 Giles, Michael B. 8 Schwab, Christoph 8 Ullmann, Elisabeth 7 Nobile, Fabio 7 Scheichl, Robert 6 Ginsbourger, David 6 Jasra, Ajay 6 Kouri, Drew P. 6 Marzouk, Youssef M. 6 Soize, Christian 6 Stuart, Andrew M. 6 Tartakovsky, Alexandre M. 6 Teckentrup, Aretha L. 5 Bachoc, François 5 Bardsley, Johnathan M. 5 Chen, Peng 5 Estep, Donald J. 5 Gunzburger, Max D. 5 Narayan, Akil C. 5 Owen, Art B. 5 Rahman, Sharif 5 Roustant, Olivier 4 Elman, Howard C. 4 Ghattas, Omar N. 4 Kantas, Nikolas 4 Katsoulakis, Markos A. 4 Klein, Thierry E. 4 Law, Kody J. H. 4 Lee, Kookjin 4 Multerer, Michael D. 4 Papaioannou, Iason 4 Peherstorfer, Benjamin 4 Sanz-Alonso, Daniel 4 Sousedík, Bedřich 4 Sudret, Bruno 4 Wolpert, Robert L. 4 Wu, Chien-Fu Jeff 3 Abdulle, Assyr 3 Alexanderian, Alen 3 Banks, Harvey Thomas 3 Barajas-Solano, David A. 3 Bect, Julien 3 Berger, James Orvis 3 Beskos, Alexandros 3 Bocquet, Marc 3 Borgonovo, Emanuele 3 Broto, Baptiste 3 Carlberg, Kevin T. 3 Chen, Nan 3 Cohen, Albert 3 Constantinescu, Emil M. 3 Crisan, Dan O. 3 Dolgov, Sergey V. 3 Dong, Yiqiu 3 Eigel, Martin 3 Frenklach, Michael 3 Gamboa, Fabrice 3 Gelb, Anne 3 Gobet, Emmanuel 3 Gratton, Serge 3 Grigoriu, Mircea Dan 3 Haaland, Benjamin 3 Hobbs, Jonathan 3 Hosseini, Bamdad 3 Krämer, Boris 3 Morris, Max D. 3 Packard, Andrew Kelly 3 Pavliotis, Grigorios A. 3 Perrin, Guillaume 3 Petra, Noemi 3 Powell, Catherine Elizabeth 3 Quarteroni, Alfio M. 3 Sapsis, Themistoklis P. 3 Schillings, Claudia 3 Sinsbeck, Michael 3 Smith, Ralph C. 3 Stadler, Georg 3 Tan, Matthias Hwai Yong 3 Tartakovsky, Daniel M. 3 Tavener, Simon J. 3 Tuo, Rui 3 Wang, Yan 3 Webster, Clayton G. 3 Willcox, Karen E. 3 Zech, Jakob 2 Anitescu, Mihai 2 Apley, Daniel W. 2 Arnst, Maarten 2 Baccou, Jean 2 Baker, Ruth Elizabeth 2 Bao, Feng 2 Belomestny, Denis 2 Ben Salem, Malek 2 Benner, Peter 2 Berry, Tyrus 2 Bespalov, Alexei 2 Bessac, Julie 2 Binev, Peter G. 2 Birmpa, Panagiota 2 Bishop, Adrian N. ...and 952 more Authors all top 5 Fields 338 Numerical analysis (65-XX) 289 Statistics (62-XX) 218 Probability theory and stochastic processes (60-XX) 131 Partial differential equations (35-XX) 39 Computer science (68-XX) 38 Systems theory; control (93-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 29 Operations research, mathematical programming (90-XX) 28 Geophysics (86-XX) 27 Fluid mechanics (76-XX) 17 Approximations and expansions (41-XX) 17 Information and communication theory, circuits (94-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Operator theory (47-XX) 12 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 8 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Special functions (33-XX) 5 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mathematics education (97-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 421 Publications have been cited 3,502 times in 2,239 Documents Cited by ▼ Year ▼ A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow. Zbl 1330.65007 Dodwell, T. J.; Ketelsen, C.; Scheichl, R.; Teckentrup, A. L. 58 2015 A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014 Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 56 2015 Analysis of the ensemble and polynomial chaos Kalman filters in Bayesian inverse problems. Zbl 1339.60041 Ernst, Oliver G.; Sprungk, Björn; Starkloff, Hans-Jörg 42 2015 Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289 Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar 39 2017 Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271 Dolgov, Sergey; Khoromskij, Boris N.; Litvinenko, Alexander; Matthies, Hermann G. 39 2015 Sequential Monte Carlo methods for high-dimensional inverse problems: a case study for the Navier-Stokes equations. Zbl 1308.65010 Kantas, Nikolas; Beskos, Alexandros; Jasra, Ajay 39 2014 Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182 Chen, Peng; Quarteroni, Alfio 38 2014 An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270 Bui-Thanh, Tan; Ghattas, Omar 37 2014 Existence and optimality conditions for risk-averse PDE-constrained optimization. Zbl 1393.49002 Kouri, D. P.; Surowiec, T. M. 35 2018 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 34 2017 (Sub-)gradient formulae for probability functions of random inequality systems under Gaussian distribution. Zbl 1434.90111 van Ackooij, Wim; Henrion, R. 34 2017 Transport map accelerated Markov chain Monte Carlo. Zbl 1394.65004 Parno, Matthew D.; Marzouk, Youssef M. 33 2018 Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083 Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. 32 2018 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424 Elman, Howard C.; Liao, Qifeng 32 2013 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 30 2017 Inverse random source scattering problems in several dimensions. Zbl 1355.78025 Bao, Gang; Chen, Chuchu; Li, Peijun 30 2016 The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029 Drohmann, Martin; Carlberg, Kevin 29 2015 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084 Rim, Donsub; Moe, Scott; LeVeque, Randall J. 27 2018 Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. Zbl 1327.65010 Ballani, Jonas; Grasedyck, Lars 27 2015 Sobol’ indices and Shapley value. Zbl 1308.91129 Owen, Art B. 27 2014 Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008 Lüthen, Nora; Marelli, Stefano; Sudret, Bruno 27 2021 Shapley effects for global sensitivity analysis: theory and computation. Zbl 1403.62226 Song, Eunhye; Nelson, Barry L.; Staum, Jeremy 26 2016 Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031 Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph 25 2016 Multilevel estimation of rare events. Zbl 1327.65246 Ullmann, Elisabeth; Papaioannou, Iason 25 2015 Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. Zbl 1349.62364 Beck, Joakim; Guillas, Serge 25 2016 A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. Zbl 1383.62354 Tuo, Rui; Jeff Wu, C. F. 25 2016 Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010 Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin 25 2014 Convergence of the square root ensemble Kalman filter in the large ensemble limit. Zbl 1329.60083 Kwiatkowski, Evan; Mandel, Jan 24 2015 Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems. Zbl 1516.65118 Scheichl, R.; Stuart, A. M.; Teckentrup, A. L. 24 2017 Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097 Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M. 24 2014 Variance components and generalized Sobol’ indices. Zbl 1459.62144 Owen, Art B. 24 2013 Path-space information bounds for uncertainty quantification and sensitivity analysis of stochastic dynamics. Zbl 1371.65004 Dupuis, Paul; Katsoulakis, Markos A.; Pantazis, Yannis; Plecháč, Petr 24 2016 Multilevel Monte Carlo approximation of distribution functions and densities. Zbl 1322.65014 Giles, Michael B.; Nagapetyan, Tigran; Ritter, Klaus 23 2015 Uniform regularity for linear kinetic equations with random input based on hypocoercivity. Zbl 1398.65257 Li, Qin; Wang, Li 23 2017 A least-squares method for sparse low rank approximation of multivariate functions. Zbl 1327.65029 Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P. 23 2015 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007 Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 23 2016 Accurate solution of Bayesian inverse uncertainty quantification problems combining reduced basis methods and reduction error models. Zbl 1383.35251 Manzoni, A.; Pagani, S.; Lassila, T. 22 2016 Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371 Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael 22 2017 On Shapley value for measuring importance of dependent inputs. Zbl 1386.65064 Owen, Art B.; Prieur, Clémentine 21 2017 Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016 Benner, Peter; Onwunta, Akwum; Stoll, Martin 20 2015 Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. Zbl 1395.82229 Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan 20 2018 A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004 Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel 20 2016 Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields. Zbl 07118418 Khristenko, U.; Scarabosio, L.; Swierczynski, P.; Ullmann, E.; Wohlmuth, B. 20 2019 Polynomial chaos expansion of a multimodal random vector. Zbl 1327.62332 Soize, C. 19 2015 Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006 Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus 19 2016 A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. Zbl 1307.49026 Kouri, D. P. 19 2014 An adaptive multilevel Monte Carlo method with stochastic bounds for quantities of interest with uncertain data. Zbl 1398.35306 Eigel, Martin; Merdon, Christian; Neumann, Johannes 19 2016 Reduced basis methods for parameterized partial differential equations with stochastic influences using the Karhunen-Loève expansion. Zbl 1281.35100 Haasdonk, Bernard; Urban, Karsten; Wieland, Bernhard 19 2013 Well-posed Bayesian inverse problems: priors with exponential tails. Zbl 1371.35349 Hosseini, Bamdad; Nigam, Nilima 18 2017 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342 Despres, Bruno; Perthame, Benoit 18 2016 On the well-posedness of Bayesian inverse problems. Zbl 1437.49050 Latz, Jonas 18 2020 An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213 Feng, Xiaobing; Lin, Junshan; Lorton, Cody 17 2015 Scaled Gaussian stochastic process for computer model calibration and prediction. Zbl 1409.62185 Gu, Mengyang; Wang, Long 17 2018 A multiscale strategy for Bayesian inference using transport maps. Zbl 1356.62038 Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef 17 2016 Fast sampling in a linear-Gaussian inverse problem. Zbl 1398.94081 Fox, Colin; Norton, Richard A. 17 2016 Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297 Eigel, Martin; Merdon, Christian 17 2016 A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068 Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen 17 2013 Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 16 2018 Optimal explicit stabilized integrator of weak order 1 for stiff and ergodic stochastic differential equations. Zbl 1392.65013 Abdulle, Assyr; Almuslimani, Ibrahim; Vilmart, Gilles 16 2018 Efficient history matching of a high dimensional individual-based HIV transmission model. Zbl 1387.62111 Andrianakis, Ioannis; McCreesh, Nicky; Vernon, Ian; McKinley, Trevelyan J.; Oakley, Jeremy E.; Nsubuga, Rebecca N.; Goldstein, Michael; White, Richard G. 16 2017 Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256 Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James 16 2018 A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004 Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. 16 2021 Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163 Nickl, Richard; van de Geer, Sara; Wang, Sven 16 2020 Dimension reduction for Gaussian process emulation: an application to the influence of bathymetry on tsunami heights. Zbl 1403.62217 Liu, Xiaoyu; Guillas, Serge 15 2017 Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396 Van Barel, Andreas; Vandewalle, Stefan 15 2019 Finite-dimensional Gaussian approximation with linear inequality constraints. Zbl 1405.60047 López-Lopera, Andrés F.; Bachoc, François; Durrande, Nicolas; Roustant, Olivier 15 2018 A Bayesian approach for global sensitivity analysis of (multifidelity) computer codes. Zbl 1308.62107 Le Gratiet, Loic; Cannamela, Claire; Iooss, Bertrand 15 2014 Subsampled Gauss quadrature nodes for estimating polynomial chaos expansions. Zbl 1308.41005 Tang, Gary; Iaccarino, Gianluca 15 2014 Bayesian analysis of hierarchical multifidelity codes. Zbl 1280.62033 Le Gratiet, Loic 15 2013 Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274 Reich, Sebastian; Weissmann, Simon 15 2021 Estimating shape constrained functions using Gaussian processes. Zbl 1347.60040 Wang, Xiaojing; Berger, James O. 15 2016 Monotone emulation of computer experiments. Zbl 1327.62146 Golchi, S.; Bingham, D. R.; Chipman, H.; Campbell, D. A. 14 2015 Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175 Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen 14 2018 Higher-order quasi-Monte Carlo for Bayesian shape inversion. Zbl 1402.65141 Gantner, Robert N.; Peters, Michael D. 14 2018 Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures. Zbl 1390.35417 Hosseini, Bamdad 14 2017 Robust bounds on risk-sensitive functionals via Rényi divergence. Zbl 1341.60008 Atar, Rami; Chowdhary, Kenny; Dupuis, Paul 14 2015 Multilevel nested simulation for efficient risk estimation. Zbl 1457.91416 Giles, Michael B.; Haji-Ali, Abdul-Lateef 14 2019 An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. Zbl 1448.65057 Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. 14 2019 Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146 Nane, Erkan; Tuan, Nguyen Huy 13 2018 Parallel local approximation MCMC for expensive models. Zbl 1398.65017 Conrad, Patrick R.; Davis, Andrew D.; Marzouk, Youssef M.; Pillai, Natesh S.; Smith, Aaron 13 2018 Efficient Bayesian experimentation using an expected information gain lower bound. Zbl 1370.62019 Tsilifis, Panagiotis; Ghanem, Roger G.; Hajali, Paris 13 2017 Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. Zbl 1370.62018 Oliver, Dean S. 13 2017 Optimal adaptation for early stopping in statistical inverse problems. Zbl 1401.65058 Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus 13 2018 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 13 2018 Random forward models and log-likelihoods in Bayesian inverse problems. Zbl 1409.62062 Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L. 13 2018 Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes. Zbl 07003649 Croci, Matteo; Giles, Mike B.; Rognes, M. E.; Farrell, Patrick E. 13 2018 Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275 Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare 13 2014 A generalized ANOVA dimensional decomposition for dependent probability measures. Zbl 1311.62106 Rahman, Sharif 13 2014 Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252 Kunoth, Angela; Schwab, Christoph 13 2016 Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020 Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George 13 2013 A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation. Zbl 1454.62528 Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor 13 2020 Sequential design of experiment for sparse polynomial chaos expansions. Zbl 06861783 Fajraoui, Noura; Marelli, Stefano; Sudret, Bruno 12 2017 Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313 Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. 12 2017 Sequential design for ranking response surfaces. Zbl 1365.62319 Hu, Ruimeng; Ludkovsk, Mike 12 2017 A hybrid alternating least squares-TT-cross algorithm for parametric PDEs. Zbl 1418.65170 Dolgov, Sergey; Scheichl, Robert 12 2019 Displacement interpolation using monotone rearrangement. Zbl 07003644 Rim, Donsub; Mandli, Kyle T. 12 2018 Levenberg-Marquardt methods based on probabilistic gradient models and inexact subproblem solution, with application to data assimilation. Zbl 1358.90156 Bergou, E.; Gratton, S.; Vicente, L. N. 12 2016 Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems. Zbl 1436.62161 Giordano, Matteo; Kekkonen, Hanne 12 2020 Sensitivity analysis based on Cramér-von Mises distance. Zbl 1392.62091 Gamboa, Fabrice; Klein, Thierry; Lagnoux, Agnès 11 2018 Importance sampling and necessary sample size: an information theory approach. Zbl 1396.65016 Sanz-Alonso, Daniel 11 2018 A fast and scalable computational framework for large-scale high-dimensional Bayesian optimal experimental design. Zbl 1514.62153 Wu, Keyi; Chen, Peng; Ghattas, Omar 5 2023 Uncertainty quantification of inclusion boundaries in the context of X-ray tomography. Zbl 1524.65022 Afkham, Babak Maboudi; Dong, Yiqiu; Hansen, Per Christian 4 2023 Generalized sparse Bayesian learning and application to image reconstruction. Zbl 1514.94006 Glaubitz, Jan; Gelb, Anne; Song, Guohui 4 2023 On unbiased estimation for discretized models. Zbl 1514.65007 Heng, Jeremy; Jasra, Ajay; Law, Kody J. H.; Tarakanov, Alexander 3 2023 On the generalized Langevin equation for simulated annealing. Zbl 1517.60088 Chak, Martin; Kantas, Nikolas; Pavliotis, Grigorios A. 2 2023 Large deviation theory-based adaptive importance sampling for rare events in high dimensions. Zbl 1518.65009 Tong, Shanyin; Stadler, Georg 2 2023 Are minimizers of the Onsager-Machlup functional strong posterior modes? Zbl 07772686 Kretschmann, Remo 1 2023 An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. Zbl 07787062 Lambley, Hefin; Sullivan, T. J. 1 2023 Analysis of a class of multilevel Markov chain Monte Carlo algorithms based on independent Metropolis-Hastings. Zbl 1518.35680 Madrigal-Cianci, Juan P.; Nobile, Fabio; Tempone, Raúl 1 2023 Complete deterministic dynamics and spectral decomposition of the linear ensemble Kalman inversion. Zbl 1514.62048 Bungert, Leon; Wacker, Philipp 1 2023 Convergence rates for learning linear operators from noisy data. Zbl 1514.62075 de Hoop, Maarten V.; Kovachki, Nikola B.; Nelsen, Nicholas H.; Stuart, Andrew M. 1 2023 Parameter estimation in an SPDE model for cell repolarization. Zbl 1523.35309 Altmeyer, Randolf; Bretschneider, Till; Janák, Josef; Reiß, Markus 7 2022 Nonlinear reduced models for state and parameter estimation. Zbl 1482.65170 Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James 7 2022 A stochastic Levenberg-Marquardt method using random models with complexity results. Zbl 1487.49035 Bergou, El Houcine; Diouane, Youssef; Kungurtsev, Vyacheslav; Royer, Clément W. 6 2022 Multilevel ensemble Kalman-Bucy filters. Zbl 1493.65022 Chada, Neil K.; Jasra, Ajay; Yu, Fangyuan 6 2022 A spline dimensional decomposition for uncertainty quantification in high dimensions. Zbl 07524833 Rahman, Sharif; Jahanbin, Ramin 3 2022 Joint online parameter estimation and optimal sensor placement for the partially observed stochastic advection-diffusion equation. Zbl 1484.35423 Sharrock, Louis; Kantas, Nikolas 3 2022 Stochastic normalizing flows for inverse problems: a Markov chains viewpoint. Zbl 1498.62067 Hagemann, Paul; Hertrich, Johannes; Steidl, Gabriele 3 2022 Scaled Vecchia approximation for fast computer-model emulation. Zbl 1493.62011 Katzfuss, Matthias; Guinness, Joseph; Lawrence, Earl 3 2022 Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion. Zbl 1485.65011 Bréhier, Charles-Edouard; Cohen, David 2 2022 Sparse online variational Bayesian regression. Zbl 1498.62019 Law, Kody J. H.; Zankin, Vitaly 2 2022 Rank bounds for approximating Gaussian densities in the tensor-train format. Zbl 1505.65195 Rohrbach, Paul B.; Dolgov, Sergey; Grasedyck, Lars; Scheichl, Robert 2 2022 A hybrid Gibbs sampler for edge-preserving tomographic reconstruction with uncertain view angles. Zbl 1502.92005 Uribe, Felipe; Bardsley, Johnathan M.; Dong, Yiqiu; Hansen, Per Christian; Riis, Nicolai A. B. 2 2022 Superfloe parameterization with physics constraints for uncertainty quantification of sea ice floes. Zbl 1498.86001 Chen, Nan; Deng, Quanling; Stechmann, Samuel 2 2022 A theoretical framework of the scaled Gaussian stochastic process in prediction and calibration. Zbl 1498.62016 Gu, Mengyang; Xie, Fangzheng; Wang, Long 2 2022 Generative stochastic modeling of strongly nonlinear flows with non-Gaussian statistics. Zbl 1504.37091 Arbabi, Hassan; Sapsis, Themistoklis 2 2022 Empirical Bayesian inference using a support informed prior. Zbl 1493.62031 Zhang, Jiahui; Gelb, Anne; Scarnati, Theresa 2 2022 An inverse random source problem for the biharmonic wave equation. Zbl 1496.35453 Li, Peijun; Wang, Xu 2 2022 Asymptotic theory of \(\ell_1\)-regularized PDE identification from a single noisy trajectory. Zbl 1493.62440 He, Yuchen; Suh, Namjoon; Huo, Xiaoming; Kang, Sung Ha; Mei, Yajun 2 2022 A variational inference approach to inverse problems with gamma hyperpriors. Zbl 1514.35425 Agrawal, Shiv; Kim, Hwanwoo; Sanz-Alonso, Danie; Strang, Alexander 2 2022 Statistical finite elements via Langevin dynamics. Zbl 1506.65006 Akyildiz, Ömer Deniz; Duffin, Connor; Sabanis, Sotirios; Girolami, Mark 2 2022 A locally adapted reduced-basis method for solving risk-averse PDE-constrained optimization problems. Zbl 1505.49025 Zou, Zilong; Kouri, Drew P.; Aquino, Wilkins 2 2022 Scaling up Bayesian uncertainty quantification for inverse problems using deep neural networks. Zbl 1514.62009 Lan, Shiwei; Li, Shuyi; Shahbaba, Babak 2 2022 APIK: active physics-informed Kriging model with partial differential equations. Zbl 1490.60078 Chen, Jialei; Chen, Zhehui; Zhang, Chuck; Jeff Wu, C. F. 1 2022 Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processes. Zbl 1489.60057 Minh, Hà Quang 1 2022 Bayesian inference of an uncertain generalized diffusion operator. Zbl 1481.62012 Portone, Teresa; Moser, Robert D. 1 2022 Analysis of nested multilevel Monte Carlo using approximate normal random variables. Zbl 1482.65006 Giles, Michael; Sheridan-Methven, Oliver 1 2022 Goal-oriented Shapley effects with special attention to the quantile-oriented case. Zbl 1498.62078 Elie-Dit-Cosaque, Kevin; Maume-Deschamps, Veronique 1 2022 A lagged particle filter for stable filtering of certain high-dimensional state-space models. Zbl 1499.62341 Ruzayqat, Hamza; Er-raiy, Aimad; Beskos, Alexandros; Crisan, Dan; Jasra, Ajay; Kantas, Nikolas 1 2022 Sampling-based spotlight SAR image reconstruction from phase history data for Speckle reduction and uncertainty quantification. Zbl 1504.94011 Churchill, Victor; Gelb, Anne 1 2022 Finite element representations of Gaussian processes: balancing numerical and statistical accuracy. Zbl 1498.62015 Sanz-Alonso, Daniel; Yang, Ruiyi 1 2022 A comparative study of polynomial-type chaos expansions for indicator functions. Zbl 1524.33045 Bourgey, Florian; Gobet, Emmanuel; Rey, Clément 1 2022 Extrapolated polynomial lattice rule integration in computational uncertainty quantification. Zbl 1494.65004 Dick, Josef; Longo, Marcello; Schwab, Christoph 1 2022 Objective frequentist uncertainty quantification for atmospheric \(\text{CO}_2\) retrievals. Zbl 1493.62596 Patil, Pratik; Kuusela, Mikael; Hobbs, Jonathan 1 2022 Ensemble Markov chain Monte Carlo with teleporting walkers. Zbl 1493.65013 Lindsey, Michael; Weare, Jonathan; Zhang, Anna 1 2022 Calibration of inexact computer models with heteroscedastic errors. Zbl 1514.62046 Sung, Chih-Li; Barber, Beau David; Walker, Berkley J. 1 2022 Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008 Lüthen, Nora; Marelli, Stefano; Sudret, Bruno 27 2021 A quasi-Monte Carlo method for optimal control under uncertainty. Zbl 1475.49004 Guth, Philipp A.; Kaarnioja, Vesa; Kuo, Frances Y.; Schillings, Claudia; Sloan, Ian H. 16 2021 Fokker-Planck particle systems for Bayesian inference: computational approaches. 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Zbl 1460.62120 Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Sunseri, Isaac 6 2021 Cross-entropy-based importance sampling with failure-informed dimension reduction for rare event simulation. Zbl 1472.62023 Uribe, Felipe; Papaioannou, Iason; Marzouk, Youssef M.; Straub, Daniel 6 2021 Computing Shapley effects for sensitivity analysis. Zbl 1473.91001 Plischke, Elmar; Rabitti, Giovanni; Borgonovo, Emanuele 5 2021 Stability of Gibbs posteriors from the Wasserstein loss for Bayesian full waveform inversion. Zbl 1473.62018 Dunlop, Matthew M.; Yang, Yunan 5 2021 On the asymptotical regularization for linear inverse problems in presence of white noise. Zbl 1459.65080 Lu, Shuai; Niu, Pingping; Werner, Frank 5 2021 Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method. Zbl 1516.65125 Bespalov, Alex; Praetorius, Dirk; Ruggeri, Michele 4 2021 Density estimation by randomized quasi-Monte Carlo. 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Zbl 1461.60020 Karvonen, Toni; Wynne, George; Tronarp, Filip; Oates, Chris; Särkkä, Simo 8 2020 ...and 321 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,581 Authors 32 Schwab, Christoph 31 Jasra, Ajay 31 Stuart, Andrew M. 27 Narayan, Akil C. 25 Tempone, Raúl F. 22 Chen, Peng 22 Nobile, Fabio 20 Marzouk, Youssef M. 19 Soize, Christian 18 Peherstorfer, Benjamin 17 Bachoc, François 17 Scheichl, Robert 16 Li, Peijun 16 Willcox, Karen E. 15 Ghanem, Roger G. 15 Ghattas, Omar N. 15 Papaioannou, Iason 15 Rozza, Gianluigi 14 Cui, Tiangang 14 Kouri, Drew P. 14 Law, Kody J. H. 14 Reich, Sebastian 14 Sanz-Alonso, Daniel 14 Ullmann, Elisabeth 13 Dolgov, Sergey V. 13 Girolami, Mark A. 13 Katsoulakis, Markos A. 13 Latz, Jonas 13 Tong, Xin Thomson 13 Van Ackooij, Wim 12 Bao, Feng 12 Borgonovo, Emanuele 12 Gramacy, Robert B. 12 Jakeman, John Davis 12 Jin, Shi 12 Schillings, Claudia 12 Sullivan, Tim 11 Alexanderian, Alen 11 Beskos, Alexandros 11 Bespalov, Alexei 11 Crisan, Dan O. 11 Eigel, Martin 11 Henrion, René 11 Jiang, Lijian 11 Lin, Guang 11 Pulch, Roland 11 Surowiec, Thomas 11 Yamada, Toshihiro 10 Chada, Neil K. 10 Chaudhry, Jehanzeb Hameed 10 Giles, Michael B. 10 Goda, Takashi 10 Helin, Tapio 10 Kirby, Robert M. II 10 Nguyen Huy Tuan 10 Rahman, Sharif 10 Sangalli, Laura Maria 10 Sprungk, Björn 10 Sudret, Bruno 10 Teckentrup, Aretha L. 9 Bardsley, Johnathan M. 9 Benner, Peter 9 Harbrecht, Helmut 9 Heitsch, Holger 9 Hosseini, Bamdad 9 Kressner, Daniel 9 Kühn, Christian 9 Li, Qin 9 Mula, Olga 9 Multerer, Michael D. 9 Oates, Chris J. 9 Pérez-Aros, Pedro 9 Straub, Daniel 9 Tamellini, Lorenzo 9 Wang, Xu 9 Yang, Xiu 9 Zhang, Zhiwen 9 Zhu, Xueyu 8 Abdulle, Assyr 8 Barth, Andrea 8 Bréhier, Charles-Edouard 8 Cohen, Albert 8 Elman, Howard C. 8 Grigoriu, Mircea Dan 8 Gunzburger, Max D. 8 Kantas, Nikolas 8 Koutsourelakis, Phaedon-Stelios 8 Li, Jinglai 8 Lie, Han Cheng 8 Liu, Liu 8 Majda, Andrew J. 8 Manzoni, Andrea 8 Matthies, Hermann Georg 8 Rey-Bellet, Luc 8 Sandu, Adrian 8 Wohlmuth, Barbara I. 7 Ballarin, Francesco 7 Chen, Nan 7 Doostan, Alireza 7 Ginsbourger, David ...and 3,481 more Authors all top 5 Cited in 289 Journals 266 SIAM/ASA Journal on Uncertainty Quantification 183 Journal of Computational Physics 139 Computer Methods in Applied Mechanics and Engineering 127 SIAM Journal on Scientific Computing 74 Inverse Problems 51 Statistics and Computing 42 Journal of Scientific Computing 33 Journal of Computational and Applied Mathematics 32 SIAM Journal on Numerical Analysis 28 Computational Geosciences 27 Numerische Mathematik 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 Electronic Journal of Statistics 22 Computers & Mathematics with Applications 22 International Journal for Numerical Methods in Engineering 21 Journal of the American Statistical Association 17 Applied Mathematical Modelling 17 SIAM Journal on Applied Dynamical Systems 17 Multiscale Modeling & Simulation 17 Communications in Computational Physics 17 The Annals of Applied Statistics 16 Advances in Computational Mathematics 15 European Journal of Operational Research 15 SIAM Journal on Optimization 14 Mathematics of Computation 14 The Annals of Applied Probability 14 Computational Statistics and Data Analysis 13 SIAM Journal on Imaging Sciences 12 Computers and Fluids 12 BIT 12 Inverse Problems and Imaging 12 Foundations of Data Science 11 SIAM Journal on Control and Optimization 11 Physica D 11 Applied Numerical Mathematics 11 Computational Mechanics 11 Bernoulli 11 Chaos 11 Foundations of Computational Mathematics 11 Journal of Machine Learning Research (JMLR) 11 Oberwolfach Reports 10 Applied Mathematics and Computation 10 Journal of Differential Equations 10 Mathematics and Computers in Simulation 10 SIAM Journal on Mathematical Analysis 10 Mathematical Programming. 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Series B 5 Analysis and Applications (Singapore) 5 Mathematical Biosciences and Engineering 5 Kinetic and Related Models 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Advances in Applied Probability 4 Journal of Statistical Physics 4 Journal of Applied Probability 4 Journal of Optimization Theory and Applications 4 Optimization 4 Communications in Statistics. Simulation and Computation ...and 189 more Journals all top 5 Cited in 52 Fields 1,275 Numerical analysis (65-XX) 926 Statistics (62-XX) 594 Probability theory and stochastic processes (60-XX) 530 Partial differential equations (35-XX) 208 Computer science (68-XX) 197 Fluid mechanics (76-XX) 168 Operations research, mathematical programming (90-XX) 140 Calculus of variations and optimal control; optimization (49-XX) 133 Systems theory; control (93-XX) 88 Biology and other natural sciences (92-XX) 87 Mechanics of deformable solids (74-XX) 83 Geophysics (86-XX) 76 Approximations and expansions (41-XX) 68 Dynamical systems and ergodic theory (37-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 67 Statistical mechanics, structure of matter (82-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 49 Optics, electromagnetic theory (78-XX) 49 Information and communication theory, circuits (94-XX) 39 Ordinary differential equations (34-XX) 38 Operator theory (47-XX) 33 Functional analysis (46-XX) 19 Quantum theory (81-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Integral equations (45-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of particles and systems (70-XX) 14 Combinatorics (05-XX) 13 Real functions (26-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 9 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 6 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Relativity and gravitational theory (83-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 3 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year