Benjamin Peherstorfer

Orcid: 0000-0002-1558-6775

According to our database1, Benjamin Peherstorfer authored at least 70 papers between 2010 and 2024.

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Bibliography

2024
Neural Galerkin schemes with active learning for high-dimensional evolution equations.
J. Comput. Phys., January, 2024

Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction.
CoRR, 2024

CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations.
CoRR, 2024

2023
Meta variance reduction for Monte Carlo estimation of energetic particle confinement during stellarator optimization.
J. Comput. Phys., December, 2023

Operator inference with roll outs for learning reduced models from scarce and low-quality data.
Comput. Math. Appl., September, 2023

Active Operator Inference for Learning Low-Dimensional Dynamical-System Models from Noisy Data.
SIAM J. Sci. Comput., August, 2023

Multifidelity Robust Controller Design with Gradient Sampling.
SIAM J. Sci. Comput., April, 2023

Context-Aware Surrogate Modeling for Balancing Approximation and Sampling Costs in Multifidelity Importance Sampling and Bayesian Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, March, 2023

Manifold Approximations via Transported Subspaces: Model Reduction for Transport-Dominated Problems.
SIAM J. Sci. Comput., February, 2023

Nonlinear embeddings for conserving Hamiltonians and other quantities with Neural Galerkin schemes.
CoRR, 2023

Lookahead data-gathering strategies for online adaptive model reduction of transport-dominated problems.
CoRR, 2023

Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices.
CoRR, 2023

Coupling parameter and particle dynamics for adaptive sampling in Neural Galerkin schemes.
CoRR, 2023

Rank-Minimizing and Structured Model Inference.
CoRR, 2023

Randomized Sparse Neural Galerkin Schemes for Solving Evolution Equations with Deep Networks.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Multi-Fidelity Covariance Estimation in the Log-Euclidean Geometry.
Proceedings of the International Conference on Machine Learning, 2023

2022
Data-driven low-fidelity models for multi-fidelity Monte Carlo sampling in plasma micro-turbulence analysis.
J. Comput. Phys., 2022

Further analysis of multilevel Stein variational gradient descent with an application to the Bayesian inference of glacier ice models.
CoRR, 2022

Context-aware learning of hierarchies of low-fidelity models for multi-fidelity uncertainty quantification.
CoRR, 2022

Reduced models with nonlinear approximations of latent dynamics for model premixed flame problems.
CoRR, 2022

Context-aware controller inference for stabilizing dynamical systems from scarce data.
CoRR, 2022

Multi-fidelity robust controller design with gradient sampling.
CoRR, 2022

Neural Galerkin Scheme with Active Learning for High-Dimensional Evolution Equations.
CoRR, 2022

On the sample complexity of stabilizing linear dynamical systems from data.
CoRR, 2022

Towards context-aware learning for control: Balancing stability and model-learning error.
Proceedings of the American Control Conference, 2022

2021
Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories.
J. Sci. Comput., 2021

Accelerating the estimation of energetic particle confinement statistics in stellarators using multifidelity Monte Carlo.
CoRR, 2021

Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference.
CoRR, 2021

An Extensible Benchmark Suite for Learning to Simulate Physical Systems.
Proceedings of the Neural Information Processing Systems Track on Datasets and Benchmarks 1, 2021

Multilevel Stein variational gradient descent with applications to Bayesian inverse problems.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

2020
Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points.
SIAM J. Sci. Comput., 2020

Sampling Low-Dimensional Markovian Dynamics for Preasymptotically Recovering Reduced Models from Data with Operator Inference.
SIAM J. Sci. Comput., 2020

Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling.
SIAM J. Sci. Comput., 2020

Context-aware surrogate modeling for balancing approximation and sampling costs in multi-fidelity importance sampling and Bayesian inverse problems.
CoRR, 2020

Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems.
CoRR, 2020

Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations.
CoRR, 2020

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms.
CoRR, 2020

Quasi-Optimal Sampling to Learn Basis Updates for Online Adaptive Model Reduction with Adaptive Empirical Interpolation.
Proceedings of the 2020 American Control Conference, 2020

2019
Multifidelity Monte Carlo Estimation with Adaptive Low-Fidelity Models.
SIAM/ASA J. Uncertain. Quantification, 2019

Multifidelity probability estimation via fusion of estimators.
J. Comput. Phys., 2019

Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems.
CoRR, 2019

Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation.
CoRR, 2019

Sampling low-dimensional Markovian dynamics for pre-asymptotically recovering reduced models from data with operator inference.
CoRR, 2019

A transport-based multifidelity preconditioner for Markov chain Monte Carlo.
Adv. Comput. Math., 2019

2018
Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization.
SIAM Rev., 2018

Geometric Subspace Updates with Applications to Online Adaptive Nonlinear Model Reduction.
SIAM J. Matrix Anal. Appl., 2018

Convergence analysis of multifidelity Monte Carlo estimation.
Numerische Mathematik, 2018

Multifidelity Monte Carlo Estimation of Variance and Sensitivity Indices.
SIAM/ASA J. Uncertain. Quantification, 2018

Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation.
SIAM/ASA J. Uncertain. Quantification, 2018

2017
Data-Driven Reduced Model Construction with Time-Domain Loewner Models.
SIAM J. Sci. Comput., 2017

Feedback Control for Systems with Uncertain Parameters Using Online-Adaptive Reduced Models.
SIAM J. Appl. Dyn. Syst., 2017

Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models.
J. Comput. Phys., 2017

2016
Optimal Model Management for Multifidelity Monte Carlo Estimation.
SIAM J. Sci. Comput., 2016

Dynamic data-driven model reduction: adapting reduced models from incomplete data.
Adv. Model. Simul. Eng. Sci., 2016

2015
A Multigrid Method for Adaptive Sparse Grids.
SIAM J. Sci. Comput., 2015

Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates.
SIAM J. Sci. Comput., 2015

Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation.
Adv. Comput. Math., 2015

Detecting and Adapting to Parameter Changes for Reduced Models of Dynamic Data-driven Application Systems.
Proceedings of the International Conference on Computational Science, 2015

2014
Localized Discrete Empirical Interpolation Method.
SIAM J. Sci. Comput., 2014

Density Estimation with Adaptive Sparse Grids for Large Data Sets.
Proceedings of the 2014 SIAM International Conference on Data Mining, 2014

Parametric model order reduction by sparse-grid-based interpolation on matrix manifolds for multidimensional parameter spaces.
Proceedings of the 13th European Control Conference, 2014

2013
Model order reduction of parametrized systems with sparse grid learning techniques.
PhD thesis, 2013

Analysis of Car Crash Simulation Data with Nonlinear Machine Learning Methods.
Proceedings of the International Conference on Computational Science, 2013

Image Segmentation with Adaptive Sparse Grids.
Proceedings of the AI 2013: Advances in Artificial Intelligence, 2013

2012
Semi-Coarsening in Space and Time for the Hierarchical Transformation Multigrid Method.
Proceedings of the International Conference on Computational Science, 2012

Clustering Based on Density Estimation with Sparse Grids.
Proceedings of the KI 2012: Advances in Artificial Intelligence, 2012

Sparse grid classifiers as base learners for AdaBoost.
Proceedings of the 2012 International Conference on High Performance Computing & Simulation, 2012

Fast Insight into High-Dimensional Parametrized Simulation Data.
Proceedings of the 11th International Conference on Machine Learning and Applications, 2012

2011
A Sparse-Grid-Based Out-of-Sample Extension for Dimensionality Reduction and Clustering with Laplacian Eigenmaps.
Proceedings of the AI 2011: Advances in Artificial Intelligence, 2011

2010
Spatially adaptive sparse grids for high-dimensional data-driven problems.
J. Complex., 2010


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