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Peherstorfer, Benjamin

Author ID: peherstorfer.benjamin Recent zbMATH articles by "Peherstorfer, Benjamin"
Published as: Peherstorfer, Benjamin

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 950 times in 550 Documents Cited by Year
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
146
2018
Data-driven operator inference for nonintrusive projection-based model reduction. Zbl 1436.93062
Peherstorfer, Benjamin; Willcox, Karen
90
2016
Online adaptive model reduction for nonlinear systems via low-rank updates. Zbl 1323.65102
Peherstorfer, Benjamin; Willcox, Karen
75
2015
Localized discrete empirical interpolation method. Zbl 1290.65080
Peherstorfer, Benjamin; Butnaru, Daniel; Willcox, Karen; Bungartz, Hans-Joachim
75
2014
Spatially adaptive sparse grids for high-dimensional data-driven problems. Zbl 1200.65100
Pflüger, Dirk; Peherstorfer, Benjamin; Bungartz, Hans-Joachim
55
2010
Dynamic data-driven reduced-order models. Zbl 1425.65205
Peherstorfer, Benjamin; Willcox, Karen
52
2015
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
50
2016
Projection-based model reduction: formulations for physics-based machine learning. Zbl 1411.65061
Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen
46
2019
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 1493.62512
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
43
2020
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. Zbl 1453.65286
Peherstorfer, Benjamin
42
2020
Multifidelity importance sampling. Zbl 1426.62087
Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef; Willcox, Karen
36
2016
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
27
2020
Geometric subspace updates with applications to online adaptive nonlinear model reduction. Zbl 1383.65034
Zimmermann, Ralf; Peherstorfer, Benjamin; Willcox, Karen
26
2018
Data-driven reduced model construction with time-domain Loewner models. Zbl 1448.65087
Peherstorfer, Benjamin; Gugercin, Serkan; Willcox, Karen
25
2017
Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. Zbl 1456.65120
Peherstorfer, Benjamin
17
2020
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
Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. Zbl 1453.65287
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan
15
2020
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
Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492
Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen
11
2018
Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models. Zbl 1376.93020
Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen
10
2017
Multifidelity Monte Carlo estimation with adaptive low-fidelity models. Zbl 1428.35570
Peherstorfer, Benjamin
9
2019
Breaking the Kolmogorov barrier with nonlinear model reduction. Zbl 1493.65161
Peherstorfer, Benjamin
9
2022
A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095
Peherstorfer, Benjamin; Marzouk, Youssef
9
2019
Selected recent applications of sparse grids. Zbl 1340.65213
Peherstorfer, Benjamin; Kowitz, Christoph; Pflüger, Dirk; Bungartz, Hans-Joachim
7
2015
Multifidelity probability estimation via fusion of estimators. Zbl 1453.62513
Kramer, Boris; Marques, Alexandre Noll; Peherstorfer, Benjamin; Villa, Umberto; Willcox, Karen
6
2019
Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T.
6
2023
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
6
2021
Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation. Zbl 1504.93038
Drmač, Zlatko; Peherstorfer, Benjamin
6
2022
Operator inference of non-Markovian terms for learning reduced models from partially observed state trajectories. Zbl 1470.93035
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
5
2021
Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference. Zbl 07644880
Sawant, Nihar; Kramer, Boris; Peherstorfer, Benjamin
4
2023
Feedback control for systems with uncertain parameters using online-adaptive reduced models. Zbl 1369.93212
Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
3
2017
Data-driven low-fidelity models for multi-fidelity Monte Carlo sampling in plasma micro-turbulence analysis. Zbl 07517176
Konrad, Julia; Farcaş, Ionuţ-Gabriel; Peherstorfer, Benjamin; Di Siena, Alessandro; Jenko, Frank; Neckel, Tobias; Bungartz, Hans-Joachim
3
2022
A multigrid method for adaptive sparse grids. Zbl 06502304
Peherstorfer, Benjamin; Zimmer, Stefan; Zenger, Christoph; Bungartz, Hans-Joachim
2
2015
Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. Zbl 1336.91086
Peherstorfer, Benjamin; Gómez, Pablo; Bungartz, Hans-Joachim
2
2015
Classification with probability density estimation on sparse grids. Zbl 1329.62288
Peherstorfer, Benjamin; Franzelin, Fabian; Pflüger, Dirk; Bungartz, Hans-Joachim
1
2014
Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043
Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin
1
2023
Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T.
6
2023
Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference. Zbl 07644880
Sawant, Nihar; Kramer, Boris; Peherstorfer, Benjamin
4
2023
Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043
Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin
1
2023
Breaking the Kolmogorov barrier with nonlinear model reduction. Zbl 1493.65161
Peherstorfer, Benjamin
9
2022
Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation. Zbl 1504.93038
Drmač, Zlatko; Peherstorfer, Benjamin
6
2022
Data-driven low-fidelity models for multi-fidelity Monte Carlo sampling in plasma micro-turbulence analysis. Zbl 07517176
Konrad, Julia; Farcaş, Ionuţ-Gabriel; Peherstorfer, Benjamin; Di Siena, Alessandro; Jenko, Frank; Neckel, Tobias; Bungartz, Hans-Joachim
3
2022
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
6
2021
Operator inference of non-Markovian terms for learning reduced models from partially observed state trajectories. Zbl 1470.93035
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
5
2021
Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 1493.62512
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
43
2020
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. Zbl 1453.65286
Peherstorfer, Benjamin
42
2020
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
27
2020
Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. Zbl 1456.65120
Peherstorfer, Benjamin
17
2020
Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. Zbl 1453.65287
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan
15
2020
Projection-based model reduction: formulations for physics-based machine learning. Zbl 1411.65061
Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen
46
2019
Multifidelity Monte Carlo estimation with adaptive low-fidelity models. Zbl 1428.35570
Peherstorfer, Benjamin
9
2019
A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095
Peherstorfer, Benjamin; Marzouk, Youssef
9
2019
Multifidelity probability estimation via fusion of estimators. Zbl 1453.62513
Kramer, Boris; Marques, Alexandre Noll; Peherstorfer, Benjamin; Villa, Umberto; Willcox, Karen
6
2019
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
146
2018
Geometric subspace updates with applications to online adaptive nonlinear model reduction. Zbl 1383.65034
Zimmermann, Ralf; Peherstorfer, Benjamin; Willcox, Karen
26
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
16
2018
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
Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492
Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen
11
2018
Data-driven reduced model construction with time-domain Loewner models. Zbl 1448.65087
Peherstorfer, Benjamin; Gugercin, Serkan; Willcox, Karen
25
2017
Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models. Zbl 1376.93020
Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen
10
2017
Feedback control for systems with uncertain parameters using online-adaptive reduced models. Zbl 1369.93212
Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
3
2017
Data-driven operator inference for nonintrusive projection-based model reduction. Zbl 1436.93062
Peherstorfer, Benjamin; Willcox, Karen
90
2016
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
50
2016
Multifidelity importance sampling. Zbl 1426.62087
Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef; Willcox, Karen
36
2016
Online adaptive model reduction for nonlinear systems via low-rank updates. Zbl 1323.65102
Peherstorfer, Benjamin; Willcox, Karen
75
2015
Dynamic data-driven reduced-order models. Zbl 1425.65205
Peherstorfer, Benjamin; Willcox, Karen
52
2015
Selected recent applications of sparse grids. Zbl 1340.65213
Peherstorfer, Benjamin; Kowitz, Christoph; Pflüger, Dirk; Bungartz, Hans-Joachim
7
2015
A multigrid method for adaptive sparse grids. Zbl 06502304
Peherstorfer, Benjamin; Zimmer, Stefan; Zenger, Christoph; Bungartz, Hans-Joachim
2
2015
Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. Zbl 1336.91086
Peherstorfer, Benjamin; Gómez, Pablo; Bungartz, Hans-Joachim
2
2015
Localized discrete empirical interpolation method. Zbl 1290.65080
Peherstorfer, Benjamin; Butnaru, Daniel; Willcox, Karen; Bungartz, Hans-Joachim
75
2014
Classification with probability density estimation on sparse grids. Zbl 1329.62288
Peherstorfer, Benjamin; Franzelin, Fabian; Pflüger, Dirk; Bungartz, Hans-Joachim
1
2014
Spatially adaptive sparse grids for high-dimensional data-driven problems. Zbl 1200.65100
Pflüger, Dirk; Peherstorfer, Benjamin; Bungartz, Hans-Joachim
55
2010
all top 5

Cited by 1,082 Authors

37 Peherstorfer, Benjamin
32 Willcox, Karen E.
16 Hesthaven, Jan S.
15 Krämer, Boris
14 Rozza, Gianluigi
13 Bungartz, Hans-Joachim
13 Pflüger, Dirk
11 Iliescu, Traian
9 Benner, Peter
8 Brunton, Steven L.
8 Gugercin, Serkan
8 Haasdonk, Bernard
8 Kutz, J. Nathan
7 Kirby, Robert M. II
7 Lin, Guang
7 Manzoni, Andrea
7 Marzouk, Youssef M.
7 Narayan, Akil C.
7 San, Omer
7 Stabile, Giovanni
6 Farcas, Ionut-Gabriel
6 Gosea, Ion Victor
6 Guo, Mengwu
6 Jakeman, John Davis
6 Navon, Ionel Michael
6 Papaioannou, Iason
6 Ullmann, Elisabeth
6 Wang, Zhu
5 Ahmed, Shady E.
5 Carlberg, Kevin T.
5 Chinesta, Francisco
5 Choi, Youngsoo
5 Cui, Tiangang
5 Doostan, Alireza
5 Geraci, Gianluca
5 Gorodetsky, Alex Arkady
5 Goyal, Pawan
5 Gunzburger, Max D.
5 Karasözen, Bülent
5 Lanteri, Stéphane
5 Li, Kun
5 Li, Liang
5 Mou, Changhong
5 Mula, Olga
5 Neckel, Tobias
5 Taddei, Tommaso
4 Baker, Ruth Elizabeth
4 Cueto, Elias
4 Duraisamy, Karthik
4 Ghattas, Omar N.
4 Griebel, Michael
4 Huang, Ting-Zhu
4 Huerta, Antonio
4 Latz, Jonas
4 Pagliantini, Cecilia
4 Parish, Eric J.
4 Prescott, Thomas P.
4 Qian, Elizabeth
4 Quarteroni, Alfio M.
4 Singler, John R.
4 Straub, Daniel
4 Tartakovsky, Daniel M.
4 Uy, Wayne Isaac Tan
4 Uzunca, Murat
4 Zhu, Xueyu
4 Zimmermann, Ralf
3 Ayensa-Jiménez, Jacobo
3 Babaee, Hessam
3 Barth, Andrea
3 Biehler, Jonas
3 Buchfink, Patrick
3 Chaturantabut, Saifon
3 Chen, Peng
3 Cho, Haeseong
3 Doblaré, Manuel
3 Dolgov, Sergey V.
3 Doweidar, Mohamed Hamdy
3 Drmač, Zlatko
3 Ehre, Max
3 Eldred, Michael S.
3 Fang, Fangxin
3 Fareed, Hiba
3 Feng, Lihong
3 Franzelin, Fabian
3 Fresca, Stefania
3 Ghanem, Roger G.
3 Heinecke, Alexander
3 Iaccarino, Gianluca
3 Jenko, Frank
3 Karniadakis, George Em
3 Khodabakhshi, Parisa
3 Koc, Birgul
3 Lermusiaux, Pierre F. J.
3 Mola, Andrea
3 Nobile, Fabio
3 Othmer, Carsten
3 Pareschi, Lorenzo
3 Perdikaris, Paris G.
3 Rebholz, Leo G.
3 Ripamonti, Nicolò
...and 982 more Authors
all top 5

Cited in 81 Serials

98 Computer Methods in Applied Mechanics and Engineering
96 Journal of Computational Physics
54 SIAM Journal on Scientific Computing
27 SIAM/ASA Journal on Uncertainty Quantification
23 Journal of Scientific Computing
14 Computers and Fluids
14 Computational Mechanics
11 International Journal for Numerical Methods in Engineering
10 Computers & Mathematics with Applications
10 Advances in Computational Mathematics
9 Physica D
8 Applied Mathematical Modelling
8 SIAM Journal on Applied Dynamical Systems
8 Multiscale Modeling & Simulation
7 Communications in Computational Physics
6 Applied Mathematics and Computation
6 Journal of Computational and Applied Mathematics
6 International Journal of Computational Fluid Dynamics
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Mathematics and Computers in Simulation
5 SIAM Review
4 Journal of Fluid Mechanics
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
3 Inverse Problems
3 Mathematics of Computation
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Geosciences
3 GAMM-Mitteilungen
2 Computer Physics Communications
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 ETNA. Electronic Transactions on Numerical Analysis
2 Complexity
2 Optimization and Engineering
2 International Journal of Computational Methods
2 Acta Numerica
2 Statistics and Computing
1 Acta Mechanica
1 Journal of Mathematical Analysis and Applications
1 SIAM Journal on Control and Optimization
1 Systems & Control Letters
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Machine Learning
1 Journal of Global Optimization
1 Numerical Algorithms
1 Computational Statistics
1 International Journal of Computer Mathematics
1 Mathematical Programming. Series A. Series B
1 SIAM Journal on Optimization
1 Monte Carlo Methods and Applications
1 Discrete and Continuous Dynamical Systems
1 European Journal of Control
1 Nonlinear Dynamics
1 Taiwanese Journal of Mathematics
1 Chaos
1 Mathematical and Computer Modelling of Dynamical Systems
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Machine Learning Research (JMLR)
1 Journal of Numerical Mathematics
1 Thai Journal of Mathematics
1 Mathematical Biosciences and Engineering
1 Engineering Optimization
1 Journal of Physics A: Mathematical and Theoretical
1 Algorithms
1 Dynamic Games and Applications
1 Numerical Algebra, Control and Optimization
1 Journal of Computational Dynamics
1 East Asian Journal on Applied Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics
1 SIAM Journal on Mathematics of Data Science
1 European Mathematical Society Magazine
1 Journal of Computational Physics: X
all top 5

Cited in 37 Fields

370 Numerical analysis (65-XX)
133 Fluid mechanics (76-XX)
117 Statistics (62-XX)
110 Computer science (68-XX)
102 Partial differential equations (35-XX)
54 Systems theory; control (93-XX)
53 Mechanics of deformable solids (74-XX)
47 Probability theory and stochastic processes (60-XX)
40 Dynamical systems and ergodic theory (37-XX)
28 Biology and other natural sciences (92-XX)
26 Operations research, mathematical programming (90-XX)
19 Approximations and expansions (41-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Ordinary differential equations (34-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
12 Optics, electromagnetic theory (78-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Geophysics (86-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Real functions (26-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral equations (45-XX)
2 Information and communication theory, circuits (94-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year