Learning-based Traffic State Reconstruction using Probe Vehicles
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Abstract (arXiv)
This article investigates the use of a model-based neural-network for the traffic reconstruction problem using noisy measurements coming from probe vehicles. The traffic state is assumed to be the density only, modeled by a partial differential equation. There exist various methods for reconstructing the density in that case. However, none of them perform well with noise and very few deal with lagrangian measurements. This paper introduces a method that can reduce the processes of identification, reconstruction, prediction, and noise rejection into a single optimization problem. Numerical simulations, based either on a macroscopic or a microscopic model, show good performance for a moderate computational burden.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Nov 2020.
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Citing papers per year: 2021: 6; 2022: 0; 2023: 2; 2024: 0; 2025: 2.
10 papers.
- 2021A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimationcited by 37
- 2021Applications of deep learning in traffic congestion detection, prediction and alleviation: A surveycited by 14
- 2021Incorporating Kinematic Wave Theory into a Deep Learning Method for High-Resolution Traffic Speed Estimationcited by 12
- 2023Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problemscited by 12
- 2023Physics-Informed Deep Learning For Traffic State Estimation: A Survey and the Outlookcited by 11
- 2021Short-term traffic prediction using physics-aware neural networkscited by 6
- 2021Learning Traffic Speed Dynamics from Visualizationscited by 4
- 2025ON-Traffic: An Operator Learning Framework for Online Traffic Flow Estimation and Uncertainty Quantification from Lagrangian Sensorscited by 1
- 2025PMA-Diffusion: A Physics-guided Mask-Aware Diffusion Framework for TSE from Sparse Observationscited by 1
- 2021Estimating Traffic Speeds using Probe Data: A Deep Neural Network Approachcited by 0
- 2025PMA-Diffusion: A Physics-guided Mask-Aware Diffusion Framework for TSE from Sparse Observations5 Dec 2025
- 2025ON-Traffic: An Operator Learning Framework for Online Traffic Flow Estimation and Uncertainty Quantification from Lagrangian Sensors18 Mar 2025
- 2023Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems14 Aug 2023
- 2023Physics-Informed Deep Learning For Traffic State Estimation: A Survey and the Outlook3 Mar 2023
- 2021Short-term traffic prediction using physics-aware neural networks21 Sep 2021
- 2021A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation6 Jun 2021
- 2021Learning Traffic Speed Dynamics from Visualizations4 May 2021
- 2021Estimating Traffic Speeds using Probe Data: A Deep Neural Network Approach19 Apr 2021
- 2021Applications of deep learning in traffic congestion detection, prediction and alleviation: A survey19 Feb 2021
- 2021Incorporating Kinematic Wave Theory into a Deep Learning Method for High-Resolution Traffic Speed Estimation4 Feb 2021