133 citations · 160 across the 8 of their papers we have counts for
4 papers · 1 filter
Schur-Neural KF: Learned Schur-Consistent Corrections to the Extended Kalman Filter
Min Kim, Lianghao Cao, Soon-Jo Chung +1
We present Schur-Neural KF (SN-KF), a learning-based correction to the extended Kalman filter (EKF) that preserves the probabilistic conditioning interpretation of the EKF. The met…
Enforcing Dirichlet Boundary Conditions in Operator Learning
Andrew M. Stuart, Margaret Trautner
Operator learning in scientific machine learning is concerned with approximation of maps between infinite-dimensional function spaces; such maps frequently arise as the solution op…
A Neural-Network Framework to Learn History-Dependent Constitutive Laws and Identifiability of Internal Variables
Mayank Raj, Lianghao Cao, Andrew Stuart +1
The identification of constitutive laws is ubiquitous in engineering: in modeling of materials where experimental data are fitted to mathematical models or learning surrogate model…
Energy-based Transport for Amortized Bayesian Inference
Ricardo Baptista, Hojjat Kaveh, Andrew M. Stuart
We consider amortized Bayesian inference for nonlinear inverse problems using only samples from the joint distribution of parameters and observations, including problems with unkno…