814 citations · 913 across the 23 of their papers we have counts for
25 papers
Supervised and Unsupervised Neural Network Solver for First Order Hyperbolic Nonlinear PDEs
Zakaria Baba, Alexandre M. Bayen, Alexi Canesse +7
We present a neural network-based method for learning scalar hyperbolic conservation laws. Our method replaces the traditional numerical flux in finite volume schemes with a traina…
Energy Efficient Nonlinear Microscopic Dynamical Model for Autonomous and Electric Vehicles
Yuneil Yeo, Jaewoong Lee, Scott Moura +1
This article proposes a nonlinear microscopic dynamical model for autonomous electric vehicles (A-EVs) that considers battery energy efficiency in the car-following dynamics. The m…
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs
Nathan Lichtlé, Alexi Canesse, Zhe Fu +3
We introduce (U)NFV, a modular neural network architecture that generalizes classical finite volume (FV) methods for solving hyperbolic conservation laws. Hyperbolic partial differ…
A nonlocal degenerate macroscopic model of traffic dynamics with saturated diffusion: modeling and calibration theory
Dawson Do, Hossein Nick Zinat Matin, Masuma Mollika Miti +1
In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how…
Second-Order Time to Collision With Non-Static Acceleration
Hossein Nick Zinat Matin, Yuneil Yeo, Amelie Ju-Kang Ngo +3
We propose a second-order time to collision (TTC) considering non-static acceleration and turning with realistic assumptions. This is equivalent to considering that the steering wh…
Strategizing Equitable Transit Evacuations: A Data-Driven Reinforcement Learning Approach
Fang Tang, Han Wang, Maria Laura Delle Monache
As natural disasters become increasingly frequent, the need for efficient and equitable evacuation planning has become more critical. This paper proposes a data-driven, reinforceme…