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20192023
most citedSpecification of additional information for solving stochastic inverse problems

4 citations · 9 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.NA2023★ 1 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★ 2 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.NA2020

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

Wayne Isaac Tan Uy, Benjamin Peherstorfer

This work derives a residual-based a posteriori error estimator for reduced models learned with non-intrusive model reduction from data of high-dimensional systems governed by line…

math.NA2020

Neural network representation of the probability density function of diffusion processes

Wayne Isaac Tan Uy, Mircea Grigoriu

Physics-informed neural networks are developed to characterize the state of dynamical systems in a random environment. The neural network approximates the probability density funct…

math.NA2019★ 4 cited

Specification of additional information for solving stochastic inverse problems

Wayne Isaac T. Uy, Mircea D. Grigoriu

Methods have been developed to identify the probability distribution of a random vector from information consisting of its bounded range and the probability density function or…