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Exploring the intersection of deterministic and stochastic dynamics, this paper delves into Lagrangian discovery for conservative and non-conservative systems under stochastic excitation. Traditional Lagrangian frameworks, adept at…

Dynamical Systems · Mathematics 2024-02-28 Tapas Tripura , Satyam Panda , Budhaditya Hazra , Souvik Chakraborty

The goal of system identification is to learn about underlying physics dynamics behind the time-series data. To model the probabilistic and nonparametric dynamics model, Gaussian process (GP) have been widely used; GP can estimate the…

Machine Learning · Statistics 2018-11-22 Young-Jin Park , Han-Lim Choi

Motion prediction for intelligent vehicles typically focuses on estimating the most probable future evolutions of a traffic scenario. Estimating the gap acceptance, i.e., whether a vehicle merges or crosses before another vehicle with the…

Robotics · Computer Science 2024-09-18 Max Bastian Mertens , Jona Ruof , Jan Strohbeck , Michael Buchholz

Extreme events occur across the natural, engineering, and socioeconomic sciences, where rare but high-impact episodes can lead to disproportionate consequences that pose major challenges for prediction and risk management. Existing studies…

Dynamical Systems · Mathematics 2026-05-22 Charlotte Moser , Nan Chen , Marios Andreou

In order to develop provably safe human-in-the-loop systems, accurate and precise models of human behavior must be developed. In the case of intelligent vehicles, one can imagine the need for predicting driver behavior to develop minimally…

Systems and Control · Computer Science 2017-05-03 Katherine Driggs-Campbell , Roy Dong , S. Shankar Sastry , Ruzena Bajcsy

We develop an approach to learn an interpretable semi-parametric model of a latent continuous-time stochastic dynamical system, assuming noisy high-dimensional outputs sampled at uneven times. The dynamics are described by a nonlinear…

Machine Learning · Statistics 2019-02-13 Lea Duncker , Gergo Bohner , Julien Boussard , Maneesh Sahani

We investigate the problem of coordinating human-driven vehicles in road intersections without any traffic lights or signs by issuing speed advices. The vehicles in the intersection are assumed to move along an a priori known path and to be…

Optimization and Control · Mathematics 2019-04-01 Alexander Katriniok , Stefan Kojchev , Erjen Lefeber , Henk Nijmeijer

When learning to act in a stochastic, partially observable environment, an intelligent agent should be prepared to anticipate a change in its belief of the environment state, and be capable of adapting its actions on-the-fly to changing…

Machine Learning · Computer Science 2022-04-14 Ugo Lecerf , Christelle Yemdji-Tchassi , Pietro Michiardi

This paper proposes a new stochastic model of traffic dynamics in Lagrangian coordinates. The source of uncertainty is heterogeneity in driving behavior, captured using driver-specific speed-spacing relations, i.e., parametric uncertainty.…

Systems and Control · Computer Science 2019-08-16 Fangfang Zheng , Saif Eddin Jabari , Henry X. Liu , DianChao Lin

Recent progress in advanced driver assistance systems and the race towards autonomous vehicles is mainly driven by two factors: (1) increasingly sophisticated algorithms that interpret the environment around the vehicle and react…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Marius Cordts , Timo Rehfeld , Lukas Schneider , David Pfeiffer , Markus Enzweiler , Stefan Roth , Marc Pollefeys , Uwe Franke

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

Dynamic scene rendering opens new avenues in autonomous driving by enabling closed-loop simulations with photorealistic data, which is crucial for validating end-to-end algorithms. However, the complex and highly dynamic nature of traffic…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Rui Song , Chenwei Liang , Yan Xia , Walter Zimmer , Hu Cao , Holger Caesar , Andreas Festag , Alois Knoll

Recent experimental and empirical observations have demonstrated that stochasticity plays a critical role in car following (CF) dynamics. To reproduce the observations, quite a few stochastic CF models have been proposed. However, while…

Physics and Society · Physics 2023-02-10 Shirui Zhou , Shiteng Zheng , Martin Treiber , Junfang Tian , Rui Jiang

A major challenge for autonomous vehicles is handling interactive scenarios, such as highway merging, with human-driven vehicles. A better understanding of human interactive behaviour could help address this challenge. Such understanding…

Human-Computer Interaction · Computer Science 2023-05-30 O. Siebinga , A. Zgonnikov , D. A. Abbink

Driving is a complex task carried out under the influence of diverse spatial objects and their temporal interactions. Therefore, a sudden fluctuation in driving behavior can be due to either a lack of driving skill or the effect of various…

Human-Computer Interaction · Computer Science 2023-01-16 Debasree Das , Sandip Chakraborty , Bivas Mitra

Scenario-based testing of automated driving functions has become a promising method to reduce time and cost compared to real-world testing. In scenario-based testing automated functions are evaluated in a set of pre-defined scenarios. These…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Christoph Glasmacher , Michael Schuldes , Sleiman El Masri , Lutz Eckstein

Dynamic scene understanding is the ability of a computer system to interpret and make sense of the visual information present in a video of a real-world scene. In this thesis, we present a series of frameworks for dynamic scene…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Salman Khan

Route Choice Models predict the route choices of travelers traversing an urban area. Most of the route choice models link route characteristics of alternative routes to those chosen by the drivers. The models play an important role in…

Machine Learning · Computer Science 2019-03-28 Qun Liu , Supratik Mukhopadhyay , Yimin Zhu , Ravindra Gudishala , Sanaz Saeidi , Alimire Nabijiang

Autonomous vehicles must navigate dynamically uncertain environments while balancing safety and efficiency. This challenge is exacerbated by unpredictable human-driven vehicle (HV) behaviors and perception inaccuracies, necessitating…

Robotics · Computer Science 2026-04-16 Rui Yang , Lei Zheng , Shuzhi Sam Ge , Jun Ma

Autonomous driving presents a complex challenge, which is usually addressed with artificial intelligence models that are end-to-end or modular in nature. Within the landscape of modular approaches, a bio-inspired neural circuit policy model…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Anass Bairouk , Mirjana Maras , Simon Herlin , Alexander Amini , Marc Blanchon , Ramin Hasani , Patrick Chareyre , Daniela Rus