124 citations · 251 across the 10 of their papers we have counts for
10 papers
Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws
Qi Gao, Kuang Huang, Xuan Di
In recent years, neural networks have significantly advanced numerical solutions of partial differential equations (PDEs). However, solving PDEs with discontinuous solutions, such…
Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model
Kuang Huang, Qiang Du
This paper considers numerical discretization of a nonlocal conservation law modeling vehicular traffic flows involving nonlocal inter-vehicle interactions. The nonlocal model invo…
A Space-time Nonlocal Traffic Flow Model: Relaxation Representation and Local Limit
Qiang Du, Kuang Huang, James Scott +1
We propose and study a nonlocal conservation law modelling traffic flow in the existence of inter-vehicle communication. It is assumed that the nonlocal information travels at a fi…
Discovering State Variables Hidden in Experimental Data
Boyuan Chen, Kuang Huang, Sunand Raghupathi +3
All physical laws are described as relationships between state variables that give a complete and non-redundant description of the relevant system dynamics. However, despite the pr…
A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation
Rongye Shi, Zhaobin Mo, Kuang Huang +2
Traffic state estimation (TSE) bifurcates into two categories, model-driven and data-driven (e.g., machine learning, ML), while each suffers from either deficient physics or small…
Physics-Informed Deep Learning for Traffic State Estimation
Rongye Shi, Zhaobin Mo, Kuang Huang +2
Traffic state estimation (TSE), which reconstructs the traffic variables (e.g., density) on road segments using partially observed data, plays an important role on efficient traffi…
Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach
Kuang Huang, Xu Chen, Xuan Di +1
This paper aims to answer the research question as to optimal design of decision-making processes for autonomous vehicles (AVs), including dynamical selection of driving velocity a…
Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
Kuang Huang, Qiang Du
The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between…
Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach
Kuang Huang, Xuan Di, Qiang Du +1
This paper presents scalable traffic stability analysis for both pure autonomous vehicle (AV) traffic and mixed traffic based on continuum traffic flow models. Human vehicles are m…
A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games
Kuang Huang, Xuan Di, Qiang Du +1
This paper proposes an efficient computational framework for longitudinal velocity control of a large number of autonomous vehicles (AVs) and develops a traffic flow theory for AVs…