5 papers
PiERN: Token-Level Routing for Integrating High-Precision Computation and Reasoning
Hengbo Xiao, Jingyuan Fan, Xin Tong +3
Tasks on complex systems require high-precision numerical computation to support decisions, but current large language models (LLMs) cannot integrate such computations as an intrin…
An End-to-End Differentiable, Graph Neural Network-Embedded Pore Network Model for Permeability Prediction
Qingqi Zhao, Heng Xiao
Accurate prediction of permeability in porous media is essential for modeling subsurface flow. While pure data-driven models offer computational efficiency, they often lack general…
Data-Driven Turbulence Modeling Approach for Cold-Wall Hypersonic Boundary Layers
Muhammad I. Zafar, Xuhui Zhou, Christopher J. Roy +2
Wall-cooling effect in hypersonic boundary layers can significantly alter the near-wall turbulence behavior, which is not accurately modeled by traditional RANS turbulence models.…
Neural operator-based super-fidelity: A warm-start approach for accelerating steady-state simulations
Xu-Hui Zhou, Jiequn Han, Muhammad I. Zafar +4
Recently, the use of neural networks to accelerate the solving of partial differential equations (PDEs) has gained significant traction in both academia and industry. However, empl…
BI-EqNO: Generalized Approximate Bayesian Inference with an Equivariant Neural Operator Framework
Xu-Hui Zhou, Zhuo-Ran Liu, Heng Xiao
Bayesian inference offers a robust framework for updating prior beliefs based on new data using Bayes' theorem, but exact inference is often computationally infeasible, necessitati…