4 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…
Risk Control of Traffic Flow Through Chance Constraints and Large Deviation Approximation
Rui Xu, Shanyin Tong, Xuan Di
Existing macroscopic traffic control methods often struggle to strictly regulate rare, safety-critical extreme events under stochastic disturbances. In this paper, we develop a rar…
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…
Waymo Driverless Car Data Analysis and Driving Modeling using CNN and LSTM
Aashish Kumar Misraa, Naman Jain, Saurav Singh Dhakad
Self driving cars has been the biggest innovation in the automotive industry, but to achieve human level accuracy or near human level accuracy is the biggest challenge that researc…