Concepedia

Physics-informed neural networks for integrated traffic state and queue profile estimation: A differentiable programming approach on layered computational graphs

Jiawei Lu, Chongnan Li, Xin Wu, Xuesong Zhou

Transportation Research Part C Emerging Technologies · 2023 · 56 citations · 70 references

References

70

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

Natural Sciences, Computer Science, Physics +16

A Stochastic Approximation Method

Herbert Robbins, Sutton Monro · The Annals of Mathematical Statistics · 1951 · 9.6K citations · Full text

Computing, Computer Science, Algorithms +9

On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Andreas Wächter, Lorenz T. Biegler · Mathematical Programming · 2005 · 9.4K citations

Natural Sciences, Computer Science, Algorithms +9

On kinematic waves II. A theory of traffic flow on long crowded roads

M. J. Lighthill, G. B. Whitham · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1955 · 4.6K citations

Engineering, Civil Engineering, Transport +14

Shock Waves on the Highway

P.I. Richards · Operations Research · 1956 · 3.6K citations

Engineering, Automotive Engineering, Civil Engineering +17