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20182025
most citedDepth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems

11 citations · 20 across the 10 of their papers we have counts for

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16 papers · 1 filter

math.NA20231 cited

Lookahead data-gathering strategies for online adaptive model reduction of transport-dominated problems

Rodrigo Singh, Wayne Isaac Tan Uy, Benjamin Peherstorfer

Online adaptive model reduction efficiently reduces numerical models of transport-dominated problems by updating reduced spaces over time, which leads to nonlinear approximations o…

math.NA2022

Context-aware learning of hierarchies of low-fidelity models for multi-fidelity uncertainty quantification

Ionut-Gabriel Farcas, Benjamin Peherstorfer, Tobias Neckel +2

Multi-fidelity Monte Carlo methods leverage low-fidelity and surrogate models for variance reduction to make tractable uncertainty quantification even when numerically simulating t…

math.NA20222 cited

Reduced models with nonlinear approximations of latent dynamics for model premixed flame problems

Wayne Isaac Tan Uy, Christopher R. Wentland, Cheng Huang +1

Efficiently reducing models of chemically reacting flows is often challenging because their characteristic features such as sharp gradients in the flow fields and couplings over va…

math.NA20211 cited

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

Nihar Sawant, Boris Kramer, Benjamin Peherstorfer

Operator inference learns low-dimensional dynamical-system models with polynomial nonlinear terms from trajectories of high-dimensional physical systems (non-intrusive model reduct…

math.NA2021

Multilevel Stein variational gradient descent with applications to Bayesian inverse problems

Terrence Alsup, Luca Venturi, Benjamin Peherstorfer

This work presents a multilevel variant of Stein variational gradient descent to more efficiently sample from target distributions. The key ingredient is a sequence of distribution…

math.NA2020

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

Terrence Alsup, Benjamin Peherstorfer

Multi-fidelity methods leverage low-cost surrogate models to speed up computations and make occasional recourse to expensive high-fidelity models to establish accuracy guarantees.…