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Improving road safety is hugely important with the number of deaths on the world's roads remaining unacceptably high; an estimated 1.35 million people die each year (WHO, 2020). Current practice for treating collision hotspots is almost…

Applications · Statistics 2023-02-02 Nicola Hewett , Andrew Golightly , Lee Fawcett , Neil Thorpe

Complex and nonlinear dynamical systems often involve parameters that change with time, accurate tracking of which is essential to tasks such as state estimation, prediction, and control. Existing machine-learning methods require full state…

Machine Learning · Computer Science 2023-11-16 Zheng-Meng Zhai , Mohammadamin Moradi , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

Discovery of an accurate causal Bayesian network structure from observational data can be useful in many areas of science. Often the discoveries are made under uncertainty, which can be expressed as probabilities. To guide the use of such…

Artificial Intelligence · Computer Science 2017-12-27 Fattaneh Jabbari , Mahdi Pakdaman Naeini , Gregory F. Cooper

Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

Machine Learning · Computer Science 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

In the context of model-based control of industrial processes, it is a common practice to develop a data-driven linear dynamical model around a specified operating point. However, in applications involving wider operating conditions,…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Vatsal Kedia , Vivek S. Pinnamaraju , Dinesh Patil

We propose a quantitative approach for calibrating and validating key features of traffic instabilities based on speed time series obtained from aggregated data of a series of neighboring stationary detectors. We apply the proposed criteria…

Physics and Society · Physics 2010-08-11 Martin Treiber , Arne Kesting

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

Statistical Mechanics · Physics 2009-11-10 Martin Treiber , Dirk Helbing

This paper introduces a car following model where the driving scheme takes into account the deficiencies of human decision making in a general way. Aditionally, it improves certain shortcomings of most of the models currently in use: it is…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Peter Wagner , Reinhard Mahnke

We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

The dynamic, real-time, and accurate inference of model parameters from empirical data is of great importance in many scientific and engineering disciplines that use computational models (such as a digital twin) for the analysis and…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Yuan Tian , Manuel Arias Chao , Chetan Kulkarni , Kai Goebel , Olga Fink

Regression models are used in a wide range of applications providing a powerful scientific tool for researchers from different fields. Linear, or simple parametric, models are often not sufficient to describe complex relationships between…

Machine Learning · Statistics 2021-11-24 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework to a general calibration and validation framework by…

Methodology · Statistics 2020-08-04 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Automated Driving Systems (ADS) development relies on utilizing real-world vehicle data. The volume of data generated by modern vehicles presents transmission, storage, and computational challenges. Focusing on Dynamic Behavior (DB) offers…

Robotics · Computer Science 2024-07-08 Philipp Reis , Philipp Rigoll , Eric Sax

Before a car-following model can be applied in practice, it must first be validated against real data in a process known as calibration. This paper discusses the formulation of calibration as an optimization problem, and compares different…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ronan Keane , H. Oliver Gao

Model-based approaches have become increasingly popular in the domain of automated driving. This includes runtime algorithms, such as Model Predictive Control, as well as formal and simulative approaches for the verification of automated…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Marcus Nolte , Richard Schubert , Cordula Reisch , Markus Maurer

This paper proposes a novel framework for the distributionally robust input and state estimation (DRISE) for autonomous vehicles operating under model uncertainties and measurement outliers. The proposed framework improves the input and…

Optimization and Control · Mathematics 2025-04-15 Kasra Azizi , Kumar Anurag , Wenbin Wan

Efficient management of spare parts inventory is crucial in the automotive aftermarket, where demand is highly intermittent and uncertainty drives substantial cost and service risks. Forecasting is therefore central, but the quality of…

Artificial Intelligence · Computer Science 2026-02-03 So Fukuhara , Abdallah Alabdallah , Nuwan Gunasekara , Slawomir Nowaczyk

Models for vehicle dynamics play an important role in maneuver planning for automated driving. They are used to derive trajectories from given control inputs, or to evaluate a given trajectory in terms of constraint violation or optimality…

Robotics · Computer Science 2024-05-15 J. R. Ziehn , M. Ruf , M. Roschani , J. Beyerer

Probabilistic vehicle trajectory prediction is essential for robust safety of autonomous driving. Current methods for long-term trajectory prediction cannot guarantee the physical feasibility of predicted distribution. Moreover, their…

Machine Learning · Computer Science 2019-11-13 Chen Tang , Jianyu Chen , Masayoshi Tomizuka