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Car-following (CF) algorithms are crucial components of traffic simulations and have been integrated into many production vehicles equipped with Advanced Driving Assistance Systems (ADAS). Insights from the model of car-following behavior…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Tianya Zhang , Ph. D. , Peter J. Jin , Ph. D. , Sean T. McQuade , Ph. D. , Alexandre Bayen , Ph. D. , Benedetto Piccoli

Temporal point processes (TPP) are probabilistic generative models for continuous-time event sequences. Neural TPPs combine the fundamental ideas from point process literature with deep learning approaches, thus enabling construction of…

Machine Learning · Computer Science 2021-08-26 Oleksandr Shchur , Ali Caner Türkmen , Tim Januschowski , Stephan Günnemann

We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between the two states stop-or-go, we derive an associated macroscopic model of…

Probability · Mathematics 2019-12-13 Simone Göttlich , Stephan Knapp , Peter Schillen

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

Predicting pedestrian motion trajectories is critical for the path planning and motion control of autonomous vehicles. Recent diffusion-based models have shown promising results in capturing the inherent stochasticity of pedestrian behavior…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Yu Liu , Zhijie Liu , Xiao Ren , You-Fu Li , He Kong

In this paper, we assess the state of the art in pedestrian trajectory prediction within the context of generating single trajectories, a critical aspect aligning with the requirements in autonomous systems. The evaluation is conducted on…

Machine Learning · Computer Science 2024-04-08 Nico Uhlemann , Felix Fent , Markus Lienkamp

This work presents a microscopic model to describe pedestrian flows based on the social force theory. The aim of this study is twofold: (1) developing a realistic model that can be used as a tool for designing pedestrian-friendly…

Multiagent Systems · Computer Science 2026-01-07 Péter Molnár

Deformable objects present a formidable challenge for robotic manipulation due to the lack of canonical low-dimensional representations and the difficulty of capturing, predicting, and controlling such objects. We construct compact…

Robotics · Computer Science 2021-05-12 Rika Antonova , Anastasiia Varava , Peiyang Shi , J. Frederico Carvalho , Danica Kragic

We present a Pedestrian Dominance Model (PDM) to identify the dominance characteristics of pedestrians for robot navigation. Through a perception study on a simulated dataset of pedestrians, PDM models the perceived dominance levels of…

Robotics · Computer Science 2019-02-15 Tanmay Randhavane , Aniket Bera , Emily Kubin , Austin Wang , Kurt Gray , Dinesh Manocha

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

Mathematical models are crucial for optimizing and controlling chemical processes, yet they often face significant limitations in terms of computational time, algorithm complexity, and development costs. Hybrid models, which combine…

This review examined the current advancements in data-driven methods for analyzing flow and transport in porous media, which has various applications in energy, chemical engineering, environmental science, and beyond. Although there has…

Fluid Dynamics · Physics 2024-07-01 Guang Yang , Ran Xu , Yusong Tian , Songyuan Guo , Jingyi Wu , Xu Chu

Lane-changing (LC) behavior, a critical yet complex driving maneuver, significantly influences driving safety and traffic dynamics. Traditional analytical LC decision (LCD) models, while effective in specific environments, often…

Artificial Intelligence · Computer Science 2025-05-13 Linxuan Huang , Dong-Fan Xie , Li Li , Zhengbing He

Effective models for analysing and predicting pedestrian flow are important to ensure the safety of both pedestrians and other road users. These tools also play a key role in optimising infrastructure design and geometry and supporting the…

Machine Learning · Computer Science 2024-11-07 Yiwei Dong , Tingjin Chu , Lele Zhang , Hadi Ghaderi , Hanfang Yang

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. While there are many advantages to joint modeling, the standard forms suffer from limitations that…

Machine Learning · Statistics 2019-09-09 Bryan Lim , Mihaela van der Schaar

Graph-based next-step prediction models have recently been very successful in modeling complex high-dimensional physical systems on irregular meshes. However, due to their short temporal attention span, these models suffer from error…

Machine Learning · Computer Science 2022-05-27 Xu Han , Han Gao , Tobias Pfaff , Jian-Xun Wang , Li-Ping Liu

This paper utilizes well-designed item-item path modelling between consecutive items with attention mechanisms to sequentially model dynamic user-item evolutions on dynamic knowledge graph for explainable recommendations. Compared with…

Social and Information Networks · Computer Science 2021-01-06 Hongxu Chen , Yicong Li , Xiangguo Sun , Guandong Xu , Hongzhi Yin

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

Signal processing traditionally relies on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and additional domain knowledge. Simple…

Signal Processing · Electrical Eng. & Systems 2023-06-08 Nir Shlezinger , Yonina C. Eldar

The movement of pedestrians is supposed to show certain regularities which can be best described by an ``algorithm'' for the individual behavior and is easily simulated on computers. This behavior is assumed to be determined by an intended…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing