63 citations · 308 across the 48 of their papers we have counts for
50 papers
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…