18 citations · 28 across the 16 of their papers we have counts for
5 papers · 1 filter
MATEY: multiscale adaptive foundation models for spatiotemporal physical systems
Pei Zhang, M. Paul Laiu, Matthew Norman +2
Accurate representation of the multiscale features in spatiotemporal physical systems using vision transformer (ViT) architectures requires extremely long, computationally prohibit…
On high-order/low-order and micro-macro methods for implicit time-stepping of the BGK model
Cory Hauck, M. Paul Laiu, Stefan Schnake
In this paper, a high-order/low-order (HOLO) method is combined with a micro-macro (MM) decomposition to accelerate iterative solvers in fully implicit time-stepping of the BGK equ…
Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems
Xue Feng, M. Paul Laiu, Thomas Strohmer
Anderson Acceleration (AA) has been widely used to solve nonlinear fixed-point problems due to its rapid convergence. This work focuses on a variant of AA in which multiple Picard…
Federated Dynamical Low-Rank Training with Global Loss Convergence Guarantees
Steffen Schotthöfer, M. Paul Laiu
In this work, we propose a federated dynamical low-rank training (FeDLRT) scheme to reduce client compute and communication costs - two significant performance bottlenecks in horiz…
Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system
Steffen Schotthöfer, M. Paul Laiu, Martin Frank +1
The main challenge of large-scale numerical simulation of radiation transport is the high memory and computation time requirements of discretization methods for kinetic equations.…