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: 560 Publications (since 2013) References Indexed: 495 Publications with 21,559 References. all top 5 Latest Issues 12 (2024) 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 Nobile, Fabio 8 Schwab, Christoph 8 Ullmann, Elisabeth 7 Marzouk, Youssef M. 7 Scheichl, Robert 6 Ginsbourger, David 6 Jasra, Ajay 6 Kouri, Drew P. 6 Narayan, Akil C. 6 Sanz-Alonso, Daniel 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 Owen, Art B. 5 Rahman, Sharif 5 Roustant, Olivier 5 Wu, Chien-Fu Jeff 4 Elman, Howard C. 4 Gelb, Anne 4 Ghattas, Omar N. 4 Grigoriu, Mircea Dan 4 Hosseini, Bamdad 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 Pavliotis, Grigorios A. 4 Peherstorfer, Benjamin 4 Schillings, Claudia 4 Sousedík, Bedřich 4 Sudret, Bruno 4 Wolpert, Robert L. 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 Challenor, Peter G. 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 Gobet, Emmanuel 3 Gratton, Serge 3 Haaland, Benjamin 3 Harbrecht, Helmut 3 Hobbs, Jonathan 3 Krämer, Boris 3 Kuo, Frances Y. 3 Li, Qin 3 Morris, Max D. 3 Packard, Andrew Kelly 3 Perrin, Guillaume 3 Petra, Noemi 3 Powell, Catherine Elizabeth 3 Quarteroni, Alfio M. 3 Sapsis, Themistoklis P. 3 Sinsbeck, Michael 3 Sloan, Ian Hugh 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, Wenjia 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 Ballester-Ripoll, Rafael 2 Bao, Feng 2 Belomestny, Denis 2 Ben Salem, Malek ...and 999 more Authors all top 5 Fields 356 Numerical analysis (65-XX) 310 Statistics (62-XX) 230 Probability theory and stochastic processes (60-XX) 139 Partial differential equations (35-XX) 44 Computer science (68-XX) 40 Systems theory; control (93-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 30 Operations research, mathematical programming (90-XX) 28 Fluid mechanics (76-XX) 28 Geophysics (86-XX) 18 Information and communication theory, circuits (94-XX) 17 Approximations and expansions (41-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Biology and other natural sciences (92-XX) 12 Operator theory (47-XX) 11 Ordinary differential equations (34-XX) 11 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Special functions (33-XX) 5 Integral equations (45-XX) 5 Optics, electromagnetic theory (78-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) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 444 Publications have been cited 4,050 times in 2,590 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. 61 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. 60 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 48 2015 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. 47 2015 Data assimilation in reduced modeling. Zbl 06736493 Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw 42 2017 Existence and optimality conditions for risk-averse PDE-constrained optimization. Zbl 1393.49002 Kouri, D. P.; Surowiec, T. M. 42 2018 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 41 2017 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 40 2014 An analysis of infinite dimensional Bayesian inverse shape acoustic scattering and its numerical approximation. Zbl 1306.65270 Bui-Thanh, Tan; Ghattas, Omar 39 2014 Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraint. Zbl 1309.35182 Chen, Peng; Quarteroni, Alfio 39 2014 Transport map accelerated Markov chain Monte Carlo. Zbl 1394.65004 Parno, Matthew D.; Marzouk, Youssef M. 39 2018 (Sub-)gradient formulae for probability functions of random inequality systems under Gaussian distribution. Zbl 1434.90111 van Ackooij, Wim; Henrion, R. 36 2017 Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083 Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C. 36 2018 Sobol’ indices and Shapley value. Zbl 1308.91129 Owen, Art B. 35 2014 Reduced basis collocation methods for partial differential equations with random coefficients. Zbl 1282.35424 Elman, Howard C.; Liao, Qifeng 34 2013 The ROMES method for statistical modeling of reduced-order-model error. Zbl 1322.65029 Drohmann, Martin; Carlberg, Kevin 33 2015 Inverse random source scattering problems in several dimensions. Zbl 1355.78025 Bao, Gang; Chen, Chuchu; Li, Peijun 33 2016 Reduced basis methods for uncertainty quantification. Zbl 1400.65010 Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi 33 2017 Sparse polynomial chaos expansions: literature survey and benchmark. Zbl 1464.65008 Lüthen, Nora; Marelli, Stefano; Sudret, Bruno 33 2021 Transport reversal for model reduction of hyperbolic partial differential equations. Zbl 1398.65084 Rim, Donsub; Moe, Scott; LeVeque, Randall J. 32 2018 Computational aspects of stochastic collocation with multifidelity models. Zbl 1306.65010 Zhu, Xueyu; Narayan, Akil; Xiu, Dongbin 31 2014 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. 31 2017 Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. Zbl 1327.65010 Ballani, Jonas; Grasedyck, Lars 30 2015 Convergence of the square root ensemble Kalman filter in the large ensemble limit. Zbl 1329.60083 Kwiatkowski, Evan; Mandel, Jan 29 2015 Shapley effects for global sensitivity analysis: theory and computation. Zbl 1403.62226 Song, Eunhye; Nelson, Barry L.; Staum, Jeremy 29 2016 Analysis of the Gibbs sampler for hierarchical inverse problems. Zbl 1308.62097 Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M. 28 2014 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007 Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 28 2016 A theoretical framework for calibration in computer models: parametrization, estimation and convergence properties. Zbl 1383.62354 Tuo, Rui; Jeff Wu, C. F. 28 2016 Higher order quasi-Monte Carlo integration for holomorphic, parametric operator equations. Zbl 1398.65031 Dick, Josef; Le Gia, Quoc T.; Schwab, Christoph 28 2016 Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients. Zbl 1371.35371 Ali, Ahmad Ahmad; Ullmann, Elisabeth; Hinze, Michael 27 2017 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. 27 2016 Uniform regularity for linear kinetic equations with random input based on hypocoercivity. Zbl 1398.65257 Li, Qin; Wang, Li 27 2017 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 26 2016 Variance components and generalized Sobol’ indices. Zbl 1459.62144 Owen, Art B. 26 2013 Multilevel estimation of rare events. Zbl 1327.65246 Ullmann, Elisabeth; Papaioannou, Iason 26 2015 Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. Zbl 1349.62364 Beck, Joakim; Guillas, Serge 26 2016 Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016 Benner, Peter; Onwunta, Akwum; Stoll, Martin 25 2015 On Shapley value for measuring importance of dependent inputs. Zbl 1386.65064 Owen, Art B.; Prieur, Clémentine 25 2017 Multilevel Monte Carlo approximation of distribution functions and densities. Zbl 1322.65014 Giles, Michael B.; Nagapetyan, Tigran; Ritter, Klaus 24 2015 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. 24 2019 A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. Zbl 1307.49026 Kouri, D. P. 23 2014 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 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. 23 2021 Convergence rates for penalized least squares estimators in PDE constrained regression problems. Zbl 1436.62163 Nickl, Richard; van de Geer, Sara; Wang, Sven 21 2020 Polynomial chaos expansion of a multimodal random vector. Zbl 1327.62332 Soize, C. 21 2015 A multilevel Monte Carlo method for computing failure probabilities. Zbl 1343.65004 Elfverson, Daniel; Hellman, Fredrik; Målqvist, Axel 21 2016 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 21 2016 Multilevel sequential Monte Carlo with dimension-independent likelihood-informed proposals. Zbl 1395.82229 Beskos, Alexandros; Jasra, Ajay; Law, Kody; Marzouk, Youssef; Zhou, Yan 21 2018 Robust optimization of PDEs with random coefficients using a multilevel Monte Carlo method. Zbl 1421.35396 Van Barel, Andreas; Vandewalle, Stefan 21 2019 Well-posed Bayesian inverse problems: priors with exponential tails. Zbl 1371.35349 Hosseini, Bamdad; Nigam, Nilima 20 2017 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 20 2013 On the well-posedness of Bayesian inverse problems. Zbl 1437.49050 Latz, Jonas 20 2020 A Bayesian approach for global sensitivity analysis of (multifidelity) computer codes. Zbl 1308.62107 Le Gratiet, Loic; Cannamela, Claire; Iooss, Bertrand 19 2014 Bayesian analysis of hierarchical multifidelity codes. Zbl 1280.62033 Le Gratiet, Loic 19 2013 An efficient numerical method for acoustic wave scattering in random media. Zbl 1327.65213 Feng, Xiaobing; Lin, Junshan; Lorton, Cody 19 2015 Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. Zbl 1343.65006 Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus 19 2016 Uncertainty propagation; intrusive kinetic formulations of scalar conservation laws. Zbl 1362.35342 Despres, Bruno; Perthame, Benoit 19 2016 A multiscale strategy for Bayesian inference using transport maps. Zbl 1356.62038 Parno, Matthew; Moselhy, Tarek; Marzouk, Youssef 19 2016 A data-driven stochastic method for elliptic PDEs with random coefficients. Zbl 1290.60068 Cheng, Mulin; Hou, Thomas Y.; Yan, Mike; Zhang, Zhiwen 18 2013 Finite-dimensional Gaussian approximation with linear inequality constraints. Zbl 1405.60047 López-Lopera, Andrés F.; Bachoc, François; Durrande, Nicolas; Roustant, Olivier 18 2018 Scaled Gaussian stochastic process for computer model calibration and prediction. Zbl 1409.62185 Gu, Mengyang; Wang, Long 18 2018 Local equilibration error estimators for guaranteed error control in adaptive stochastic higher-order Galerkin finite element methods. Zbl 1398.65297 Eigel, Martin; Merdon, Christian 18 2016 Greedy algorithms for optimal measurements selection in state estimation using reduced models. Zbl 1407.65256 Binev, Peter; Cohen, Albert; Mula, Olga; Nichols, James 18 2018 Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 18 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 18 2018 Fokker-Planck particle systems for Bayesian inference: computational approaches. Zbl 1473.65274 Reich, Sebastian; Weissmann, Simon 18 2021 Estimating shape constrained functions using Gaussian processes. Zbl 1347.60040 Wang, Xiaojing; Berger, James O. 17 2016 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. 17 2019 Fast sampling in a linear-Gaussian inverse problem. Zbl 1398.94081 Fox, Colin; Norton, Richard A. 17 2016 Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146 Nane, Erkan; Tuan, Nguyen Huy 17 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. 17 2017 Multilevel nested simulation for efficient risk estimation. Zbl 1457.91416 Giles, Michael B.; Haji-Ali, Abdul-Lateef 16 2019 Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175 Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen 16 2018 Higher-order quasi-Monte Carlo for Bayesian shape inversion. Zbl 1402.65141 Gantner, Robert N.; Peters, Michael D. 16 2018 Subsampled Gauss quadrature nodes for estimating polynomial chaos expansions. Zbl 1308.41005 Tang, Gary; Iaccarino, Gianluca 15 2014 Monotone emulation of computer experiments. Zbl 1327.62146 Golchi, S.; Bingham, D. R.; Chipman, H.; Campbell, D. A. 15 2015 Optimal adaptation for early stopping in statistical inverse problems. Zbl 1401.65058 Blanchard, Gilles; Hoffmann, Marc; Reiß, Markus 15 2018 Sequential design of experiment for sparse polynomial chaos expansions. Zbl 06861783 Fajraoui, Noura; Marelli, Stefano; Sudret, Bruno 15 2017 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 Well-posed Bayesian inverse problems with infinitely divisible and heavy-tailed prior measures. Zbl 1390.35417 Hosseini, Bamdad 15 2017 Mixed finite elements for spatial regression with PDE penalization. Zbl 1306.65275 Azzimonti, Laura; Nobile, Fabio; Sangalli, Laura M.; Secchi, Piercesare 14 2014 A generalized ANOVA dimensional decomposition for dependent probability measures. Zbl 1311.62106 Rahman, Sharif 14 2014 Efficient Bayesian experimentation using an expected information gain lower bound. Zbl 1370.62019 Tsilifis, Panagiotis; Ghanem, Roger G.; Hajali, Paris 14 2017 Mean exit times and the multilevel Monte Carlo method. Zbl 1282.65020 Higham, Desmond J.; Mao, Xuerong; Roj, Mikolaj; Song, Qingshuo; Yin, George 14 2013 Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems. Zbl 1436.62161 Giordano, Matteo; Kekkonen, Hanne 14 2020 Random forward models and log-likelihoods in Bayesian inverse problems. Zbl 1409.62062 Lie, H. C.; Sullivan, T. J.; Teckentrup, A. L. 14 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. 14 2018 Robust bounds on risk-sensitive functionals via Rényi divergence. Zbl 1341.60008 Atar, Rami; Chowdhary, Kenny; Dupuis, Paul 14 2015 Stabilized weighted reduced basis methods for parametrized advection dominated problems with random inputs. Zbl 1408.35021 Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi 14 2018 Displacement interpolation using monotone rearrangement. Zbl 07003644 Rim, Donsub; Mandli, Kyle T. 14 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. 14 2016 Sparse adaptive tensor Galerkin approximations of stochastic PDE-constrained control problems. Zbl 1398.65252 Kunoth, Angela; Schwab, Christoph 14 2016 Adjustments to computer models via projected kernel calibration. Zbl 1430.62261 Tuo, Rui 14 2019 Parallel local approximation MCMC for expensive models. Zbl 1398.65017 Conrad, Patrick R.; Davis, Andrew D.; Marzouk, Youssef M.; Pillai, Natesh S.; Smith, Aaron 14 2018 Convergence of Gaussian process regression with estimated hyper-parameters and applications in Bayesian inverse problems. Zbl 1461.60022 Teckentrup, Aretha L. 14 2020 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 14 2020 A hybrid sparse-grid approach for nonlinear filtering problems based on adaptive-domain of the Zakai equation approximations. Zbl 1343.60041 Bao, Feng; Cao, Yanzhao; Webster, Clayton; Zhang, Guannan 13 2014 Metropolized randomized maximum likelihood for improved sampling from multimodal distributions. Zbl 1370.62018 Oliver, Dean S. 13 2017 A hybrid alternating least squares-TT-cross algorithm for parametric PDEs. Zbl 1418.65170 Dolgov, Sergey; Scheichl, Robert 13 2019 Bayesian model and dimension reduction for uncertainty propagation: applications in random media. Zbl 1422.62377 Grigo, Constantin; Koutsourelakis, Phaedon-Stelios 13 2019 Error estimate of a quasi-Monte Carlo time-splitting pseudospectral method for nonlinear Schrödinger equation with random potentials. Zbl 07827680 Wu, Zhizhang; Zhang, Zhiwen; Zhao, Xiaofei 1 2024 Calculation of epidemic first passage and peak time probability distributions. Zbl 07864801 Curran-Sebastian, Jacob; Pellis, Lorenzo; Hall, Ian; House, Thomas 1 2024 Nonasymptotic bounds for suboptimal importance sampling. Zbl 1541.65005 Hartmann, Carsten; Richter, Lorenz 1 2024 A combination technique for optimal control problems constrained by random PDEs. Zbl 07896957 Nobile, Fabio; Vanzan, Tommaso 1 2024 A fast and scalable computational framework for large-scale high-dimensional Bayesian optimal experimental design. Zbl 1514.62153 Wu, Keyi; Chen, Peng; Ghattas, Omar 8 2023 Generalized sparse Bayesian learning and application to image reconstruction. Zbl 1514.94006 Glaubitz, Jan; Gelb, Anne; Song, Guohui 6 2023 Uncertainty quantification of inclusion boundaries in the context of X-ray tomography. Zbl 1524.65022 Afkham, Babak Maboudi; Dong, Yiqiu; Hansen, Per Christian 5 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. 4 2023 On unbiased estimation for discretized models. Zbl 1514.65007 Heng, Jeremy; Jasra, Ajay; Law, Kody J. H.; Tarakanov, Alexander 3 2023 Large deviation theory-based adaptive importance sampling for rare events in high dimensions. Zbl 1518.65009 Tong, Shanyin; Stadler, Georg 3 2023 On the generalized Langevin equation for simulated annealing. Zbl 1517.60088 Chak, Martin; Kantas, Nikolas; Pavliotis, Grigorios A. 2 2023 Deep learning in high dimension: neural network expression rates for analytic functions in \(L^2(\mathbb{R}^d,\gamma_d)\). Zbl 1524.41084 Schwab, Christoph; Zech, Jakob 2 2023 Complete deterministic dynamics and spectral decomposition of the linear ensemble Kalman inversion. Zbl 1514.62048 Bungert, Leon; Wacker, Philipp 2 2023 Certified dimension reduction for Bayesian updating with the cross-entropy method. Zbl 1515.62042 Ehre, Max; Flock, Rafael; Fußeder, Martin; Papaioannou, Iason; Straub, Daniel 2 2023 An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. Zbl 07787062 Lambley, Hefin; Sullivan, T. J. 2 2023 On the deep active-subspace method. Zbl 07705324 Edeling, Wouter 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 Ensemble-based gradient inference for particle methods in optimization and sampling. Zbl 1518.65142 Schillings, Claudia; Totzeck, Claudia; Wacker, Philipp 1 2023 Quantifying and managing uncertainty in piecewise-deterministic Markov processes. Zbl 1521.60041 Cartee, Elliot; Farah, Antonio; Nellis, April; Van Hook, Jacob; Vladimirsky, Alexander 1 2023 Active learning of tree tensor networks using optimal least squares. Zbl 07733139 Haberstich, Cécile; Nouy, A.; Perrin, G. 1 2023 Towards practical large-scale randomized iterative least squares solvers through uncertainty quantification. Zbl 1538.65071 Pritchard, Nathaniel; Patel, Vivak 1 2023 Dimension free nonasymptotic bounds on the accuracy of high-dimensional Laplace approximation. Zbl 1527.62025 Spokoiny, Vladimir 1 2023 Fast calibration for computer models with massive physical observations. Zbl 1538.62360 Lv, Shurui; Yu, Jun; Wang, Yan; Du, Jiang 1 2023 Are minimizers of the Onsager-Machlup functional strong posterior modes? Zbl 07772686 Kretschmann, Remo 1 2023 Parameter estimation in an SPDE model for cell repolarization. Zbl 1523.35309 Altmeyer, Randolf; Bretschneider, Till; Janák, Josef; Reiß, Markus 10 2022 Nonlinear reduced models for state and parameter estimation. Zbl 1482.65170 Cohen, Albert; Dahmen, Wolfgang; Mula, Olga; Nichols, James 9 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. 7 2022 Multilevel ensemble Kalman-Bucy filters. Zbl 1493.65022 Chada, Neil K.; Jasra, Ajay; Yu, Fangyuan 6 2022 Stochastic normalizing flows for inverse problems: a Markov chains viewpoint. Zbl 1498.62067 Hagemann, Paul; Hertrich, Johannes; Steidl, Gabriele 6 2022 A spline dimensional decomposition for uncertainty quantification in high dimensions. Zbl 07524833 Rahman, Sharif; Jahanbin, Ramin 5 2022 A variational inference approach to inverse problems with gamma hyperpriors. Zbl 1514.35425 Agrawal, Shiv; Kim, Hwanwoo; Sanz-Alonso, Danie; Strang, Alexander 4 2022 An inverse random source problem for the biharmonic wave equation. Zbl 1496.35453 Li, Peijun; Wang, Xu 4 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. 4 2022 A theoretical framework of the scaled Gaussian stochastic process in prediction and calibration. Zbl 1498.62016 Gu, Mengyang; Xie, Fangzheng; Wang, Long 4 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 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 Analysis of nested multilevel Monte Carlo using approximate normal random variables. Zbl 1482.65006 Giles, Michael; Sheridan-Methven, Oliver 3 2022 Empirical Bayesian inference using a support informed prior. Zbl 1493.62031 Zhang, Jiahui; Gelb, Anne; Scarnati, Theresa 3 2022 Ensemble Markov chain Monte Carlo with teleporting walkers. Zbl 1493.65013 Lindsey, Michael; Weare, Jonathan; Zhang, Anna 3 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 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 3 2022 Sparse online variational Bayesian regression. Zbl 1498.62019 Law, Kody J. H.; Zankin, Vitaly 3 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 3 2022 Rank bounds for approximating Gaussian densities in the tensor-train format. Zbl 1505.65195 Rohrbach, Paul B.; Dolgov, Sergey; Grasedyck, Lars; Scheichl, Robert 3 2022 Statistical finite elements via Langevin dynamics. Zbl 1506.65006 Akyildiz, Ömer Deniz; Duffin, Connor; Sabanis, Sotirios; Girolami, Mark 2 2022 Bayesian inference of an uncertain generalized diffusion operator. Zbl 1481.62012 Portone, Teresa; Moser, Robert D. 2 2022 Risk-adapted optimal experimental design. Zbl 1493.62464 Kouri, Drew P.; Jakeman, John D.; Huerta, J. 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Zbl 1481.60104 Branicki, Michal; Uda, Kenneth 2 2021 ...and 344 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,069 Authors 35 Schwab, Christoph 33 Jasra, Ajay 33 Stuart, Andrew M. 28 Narayan, Akil C. 26 Marzouk, Youssef M. 26 Nobile, Fabio 26 Tempone, Raúl F. 22 Chen, Peng 21 Soize, Christian 19 Peherstorfer, Benjamin 19 Scheichl, Robert 17 Bachoc, François 17 Ghanem, Roger G. 17 Ghattas, Omar N. 17 Li, Peijun 17 Rozza, Gianluigi 16 Cui, Tiangang 16 Kouri, Drew P. 16 Sanz-Alonso, Daniel 16 Willcox, Karen E. 15 Law, Kody J. H. 15 Papaioannou, Iason 15 Reich, Sebastian 15 Ullmann, Elisabeth 15 Van Ackooij, Wim 14 Borgonovo, Emanuele 14 Girolami, Mark A. 14 Schillings, Claudia 13 Bao, Feng 13 Crisan, Dan O. 13 Dolgov, Sergey V. 13 Gramacy, Robert B. 13 Jakeman, John Davis 13 Katsoulakis, Markos A. 13 Latz, Jonas 13 Tong, Xin Thomson 12 Alexanderian, Alen 12 Beskos, Alexandros 12 Eigel, Martin 12 Giles, Michael B. 12 Henrion, René 12 Jiang, Lijian 12 Jin, Shi 12 Lin, Guang 12 Sullivan, Tim 11 Bespalov, Alexei 11 Goda, Takashi 11 Harbrecht, Helmut 11 Hosseini, Bamdad 11 Liu, Liu 11 Nguyen Huy Tuan 11 Nickl, Richard 11 Pulch, Roland 11 Rahman, Sharif 11 Sangalli, Laura Maria 11 Sprungk, Björn 11 Surowiec, Thomas 11 Teckentrup, Aretha L. 11 Yamada, Toshihiro 11 Zhang, Zhiwen 10 Benner, Peter 10 Chada, Neil K. 10 Chaudhry, Jehanzeb Hameed 10 Helin, Tapio 10 Kirby, Robert M. II 10 Kressner, Daniel 10 Li, Qin 10 Matthies, Hermann Georg 10 Mula, Olga 10 Oates, Chris J. 10 Pérez-Aros, Pedro 10 Sudret, Bruno 10 Zhu, Xueyu 9 Bardsley, Johnathan M. 9 Barth, Andrea 9 Bréhier, Charles-Edouard 9 Butler, Troy D. 9 Elman, Howard C. 9 Harlim, John 9 Heitsch, Holger 9 Koutsourelakis, Phaedon-Stelios 9 Kühn, Christian 9 Kuo, Frances Y. 9 Li, Jinglai 9 Lie, Han Cheng 9 Multerer, Michael D. 9 Pareschi, Lorenzo 9 Prieur, Clémentine 9 Saibaba, Arvind Krishna 9 Sandu, Adrian 9 Tamellini, Lorenzo 9 Tartakovsky, Alexandre M. 9 Wang, Xu 9 Wohlmuth, Barbara I. 9 Yang, Xiu 8 Abdulle, Assyr 8 Cohen, Albert 8 Doostan, Alireza 8 Gorodetsky, Alex Arkady 8 Grigoriu, Mircea Dan ...and 3,969 more Authors all top 5 Cited in 310 Journals 288 SIAM/ASA Journal on Uncertainty Quantification 207 Journal of Computational Physics 159 Computer Methods in Applied Mechanics and Engineering 138 SIAM Journal on Scientific Computing 83 Inverse Problems 58 Statistics and Computing 56 International Journal for Numerical Methods in Engineering 49 Journal of Scientific Computing 38 Journal of Computational and Applied Mathematics 34 SIAM Journal on Numerical Analysis 29 Numerische Mathematik 28 Computational Geosciences 26 Computers & Mathematics with Applications 25 Journal of the American Statistical Association 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 Electronic Journal of Statistics 21 Advances in Computational Mathematics 21 Chaos 18 Physica D 18 The Annals of Applied Probability 18 SIAM Journal on Optimization 18 SIAM Journal on Applied Dynamical Systems 18 Multiscale Modeling & Simulation 18 The Annals of Applied Statistics 17 Applied Mathematical Modelling 17 Computational Statistics and Data Analysis 17 Communications in Computational Physics 16 Mathematics of Computation 15 European Journal of Operational Research 15 Bernoulli 15 SIAM Journal on Imaging Sciences 13 Computers and Fluids 13 BIT 13 Mathematics and Computers in Simulation 13 Computational Mechanics 13 Numerical Linear Algebra with Applications 13 Foundations of Computational Mathematics 13 Journal of Machine Learning Research (JMLR) 13 Oberwolfach Reports 12 Applied Mathematics and Computation 12 Applied Numerical Mathematics 12 Inverse Problems and Imaging 12 Foundations of Data Science 11 Journal of Differential Equations 11 SIAM Journal on Control and Optimization 11 Acta Numerica 10 SIAM Journal on Matrix Analysis and Applications 10 SIAM Journal on Mathematical Analysis 10 Mathematical Programming. 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Theory and Methods 5 Computational Optimization and Applications 5 Statistical Papers 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Optimization and Engineering ...and 210 more Journals all top 5 Cited in 52 Fields 1,484 Numerical analysis (65-XX) 1,066 Statistics (62-XX) 682 Probability theory and stochastic processes (60-XX) 617 Partial differential equations (35-XX) 251 Computer science (68-XX) 224 Fluid mechanics (76-XX) 193 Operations research, mathematical programming (90-XX) 160 Calculus of variations and optimal control; optimization (49-XX) 156 Systems theory; control (93-XX) 105 Mechanics of deformable solids (74-XX) 97 Biology and other natural sciences (92-XX) 90 Approximations and expansions (41-XX) 83 Geophysics (86-XX) 80 Dynamical systems and ergodic theory (37-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Statistical mechanics, structure of matter (82-XX) 59 Information and communication theory, circuits (94-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 55 Optics, electromagnetic theory (78-XX) 45 Ordinary differential equations (34-XX) 44 Operator theory (47-XX) 39 Functional analysis (46-XX) 19 Integral equations (45-XX) 19 Classical thermodynamics, heat transfer (80-XX) 19 Quantum theory (81-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Combinatorics (05-XX) 15 Real functions (26-XX) 15 Mechanics of particles and systems (70-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 General and overarching topics; collections (00-XX) 11 Measure and integration (28-XX) 9 Special functions (33-XX) 7 Number theory (11-XX) 7 Potential theory (31-XX) 7 Integral transforms, operational calculus (44-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Relativity and gravitational theory (83-XX) 3 Convex and discrete geometry (52-XX) 3 Astronomy and astrophysics (85-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-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 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year