201 citations · 922 across the 22 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.NA2026
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…
math.OC2026
Risk Control of Traffic Flow Through Chance Constraints and Large Deviation Approximation
Rui Xu, Shanyin Tong, Xuan Di
We develop a rare chance-constrained optimal control framework for autonomous traffic management, with traffic dynamics governed by stochastic partial differential equations. To ef…
cs.GT2026
Simple vs. Optimal Congestion Pricing
Devansh Jalota, Xuan Di, Adam N. Elmachtoub
Congestion pricing has emerged as an effective tool for mitigating traffic congestion, yet implementing welfare or revenue-optimal dynamic tolls is often impractical. Most real-wor…