Search Results for author: Bilal Thonnam Thodi

Found 6 papers, 1 papers with code

Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems

no code implementations14 Aug 2023 Bilal Thonnam Thodi, Sai Venkata Ramana Ambadipudi, Saif Eddin Jabari

In this framework, an operator is trained to map heterogeneous and sparse traffic input data to the complete macroscopic traffic state in a supervised learning setting.

Learning-based solutions to nonlinear hyperbolic PDEs: Empirical insights on generalization errors

no code implementations16 Feb 2023 Bilal Thonnam Thodi, Sai Venkata Ramana Ambadipudi, Saif Eddin Jabari

We empirically quantify the generalization/out-of-sample error of the $\pi$-FNO solver as a function of input complexity, i. e., the distributions of initial and boundary conditions.

Learning Traffic Speed Dynamics from Visualizations

no code implementations4 May 2021 Bilal Thonnam Thodi, Zaid Saeed Khan, Saif Eddin Jabari, Monica Menendez

We present a deep learning method to learn the macroscopic traffic speed dynamics from these space-time visualizations, and demonstrate its application in the framework of traffic state estimation.

Incorporating Kinematic Wave Theory into a Deep Learning Method for High-Resolution Traffic Speed Estimation

no code implementations4 Feb 2021 Bilal Thonnam Thodi, Zaid Saeed Khan, Saif Eddin Jabari, Monica Menendez

The results demonstrate that anisotropic kernels significantly reduce model complexity and model over-fitting, and improve the physical correctness of the estimated speed fields.

Traffic Data Imputation using Deep Convolutional Neural Networks

1 code implementation21 Jan 2020 Ouafa Benkraouda, Bilal Thonnam Thodi, Hwasoo Yeo, Monica Menendez, Saif Eddin Jabari

We propose a statistical learning-based traffic speed estimation method that uses sparse vehicle trajectory information.

Imputation Traffic Data Imputation

Learning Traffic Flow Dynamics using Random Fields

no code implementations22 Jun 2018 Saif Eddin Jabari, Deepthi Mary Dilip, DianChao Lin, Bilal Thonnam Thodi

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories.

Autonomous Vehicles

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