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

BT Thodi, SVR Ambadipudi, SE Jabari - Transportation research part C …, 2024 - Elsevier
Deep learning methods are emerging as popular computational tools for solving forward
and inverse problems in traffic flow. In this paper, we study a neural operator framework for …

PI-NeuGODE: Physics-Informed Graph Neural Ordinary Differential Equations for Spatiotemporal Trajectory Prediction

Z Mo, Y Fu, X Di - Proceedings of the 23rd International Conference on …, 2024 - dl.acm.org
It is challenging to predict a group of individuals' spatiotemporal trajectories in continuous
time and space, due to various environmental and intrinsic factors. Especially, social …

Network macroscopic fundamental diagram-informed graph learning for traffic state imputation

J Xue, E Ka, Y Feng, SV Ukkusuri - Transportation Research Part B …, 2024 - Elsevier
Traffic state imputation refers to the estimation of missing values of traffic variables, such as
flow rate and traffic density, using available data. It furnishes comprehensive traffic context …

Physics-informed neural operator for coupled forward-backward partial differential equations

X Chen, FU Yongjie, S Liu, X Di - 1st Workshop on the Synergy of …, 2023 - openreview.net
This paper proposes a physics-informed neural operator (PINO) framework to solve a
system of coupled forward-backward partial differential equations (PDEs) arising from mean …

Observer-Informed Deep Learning for Traffic State Estimation With Boundary Sensing

C Zhao, H Yu - IEEE Transactions on Intelligent Transportation …, 2023 - ieeexplore.ieee.org
Traffic state estimation (TSE) refers to the inference of macroscopic traffic states, including
density, speed, and flow, based on partially observed traffic data and some prior knowledge …

Privacy-Preserving Data Fusion for Traffic State Estimation: A Vertical Federated Learning Approach

Q Wang, K Yang - arXiv preprint arXiv:2401.11836, 2024 - arxiv.org
This paper proposes a privacy-preserving data fusion method for traffic state estimation
(TSE). Unlike existing works that assume all data sources to be accessible by a single …

Scalable Learning for Spatiotemporal Mean Field Games Using Physics-Informed Neural Operator

S Liu, X Chen, X Di - Mathematics, 2024 - mdpi.com
This paper proposes a scalable learning framework to solve a system of coupled forward–
backward partial differential equations (PDEs) arising from mean field games (MFGs). The …

Incorporating nonlocal traffic flow model in physics-informed neural networks

AJ Huang, A Biswas, S Agarwal - arXiv preprint arXiv:2308.11818, 2023 - arxiv.org
This research contributes to the advancement of traffic state estimation methods by
leveraging the benefits of the nonlocal LWR model within a physics-informed deep learning …

Recovering traffic data from the corrupted noise: A doubly physics-regularized denoising diffusion model

Z Zheng, Z Wang, Z Hu, Z Wan, W Ma - Transportation Research Part C …, 2024 - Elsevier
Noise is inevitable in the collection of traffic data, which may cause accuracy and stability
issues in smart mobility applications. In the literature, most of the existing studies on traffic …

Generalized adaptive smoothing based neural network architecture for traffic state estimation

C Yang, ASV Ramana, SE Jabari - IFAC-PapersOnLine, 2023 - Elsevier
The adaptive smoothing method (ASM) is a standard data-driven technique used in traffic
state estimation. The ASM has free parameters which, in practice, are chosen to be some …