Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems

no code implementations • 14 Aug 2023 • Bilal Thonnam Thodi, Sai Venkata Ramana Ambadipudi, Saif Eddin Jabari

In this framework, an operator is trained to map heterogeneous and sparse traffic input data to the complete macroscopic traffic state in a supervised learning setting.

Learning-based solutions to nonlinear hyperbolic PDEs: Empirical insights on generalization errors

no code implementations • 16 Feb 2023 • Bilal Thonnam Thodi, Sai Venkata Ramana Ambadipudi, Saif Eddin Jabari

We empirically quantify the generalization/out-of-sample error of the $\pi$-FNO solver as a function of input complexity, i. e., the distributions of initial and boundary conditions.

Generalized adaptive smoothing based neural network architecture for traffic state estimation

no code implementations • 9 Jan 2023 • Chuhan Yang, Sai Venkata Ramana Ambadipudi, Saif Eddin Jabari

In this work, we propose a neural network based on the ASM which tunes those parameters automatically by learning from sparse data from road sensors.