63 citations · 308 across the 48 of their papers we have counts for
10 papers · 1 filter
Dimension Bridging for 3D RANS with Neural Network Accelerated Gaussian Functional Regression
Wesley Lao, Thomas Scott, Tan Bui-Thanh +2
In many computational science and engineering problems, repeatedly solving fully resolved physics-based models to design for a quantity of interest (QoI) can quickly become intract…
An optimal control approach for neural network architecture adaptation with a posteriori error estimation
C G Krishnanunni, Thomas Scott, Tan Bui-Thanh
This work presents a novel approach for adapting neural network architecture along the depth based on a posteriori error estimation. By formulating neural network training as a con…
Laplace-Fisher Gate Identities for Optimal Matrix-Gated Blended Score Estimation
Alois Duston, Tan Bui-Thanh
Sampling from an unnormalized target density by reversing an Ornstein-Uhlenbeck diffusion requires the score of each noise-perturbed marginal law. Two exact identities are availabl…
Second-order consistency for learning chaotic dynamics via randomized Jacobian matching
Shinhoo Kang, Hai V. Nguyen, Tan Bui-Thanh
Short-horizon accuracy does not ensure that a learned chaotic system has correct long-time dynamics. Trajectory (zeroth-order) matching constrains vector-field values, and Jacobian…
Rendezvous Planning from Sparse Observations of Optimally Controlled Targets
Thomas A. Scott, Lukas Taus, Yen-Hsi Richard Tsai +2
We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set…
Generalization Limits of In-Context Operator Networks for Higher-Order Partial Differential Equations
Jamie Mahowald, Tan Bui-Thanh
We investigate the generalization capabilities of In-Context Operator Networks (ICONs), a new class of operator networks that build on the principles of in-context learning, for hi…