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We present a unified probabilistic model that learns a representative set of discrete vehicle actions and predicts the probability of each action given a particular scenario. Our model also enables us to estimate the distribution over…

Robotics · Computer Science 2022-12-15 Charles Richter , Patrick R. Barragán , Sertac Karaman

Road traffic casualties represent a hidden global epidemic, demanding evidence-based interventions. This paper demonstrates a network lattice approach for identifying road segments of particular concern, based on a case study of a major…

Applications · Statistics 2023-03-13 Andrea Gilardi , Jorge Mateu , Riccardo Borgoni , Robin Lovelace

We consider analyzing traffic accident patterns using both road network data and satellite images aligned to road graph nodes. Previous work for predicting accident occurrences relies primarily on road network structural features while…

Machine Learning · Computer Science 2026-05-15 Ziniu Zhang , Minxuan Duan , Haris N. Koutsopoulos , Hongyang R. Zhang

In this work we focus on modeling a little studied type of traffic, namely the network traffic generated from endhosts. We introduce a parsimonious parametric model of the marginal distribution for connection arrivals. We employ mixture…

Networking and Internet Architecture · Computer Science 2012-12-13 John Mark Agosta , Jaideep Chandrashekar , Mark Crovella , Nina Taft , Daniel Ting

Individual events at high-energy colliders like the LHC can be represented by a sequence of measurements, or 'point patterns' in an observable space. Starting from this data representation, we build a simple Bayesian probabilistic model for…

High Energy Physics - Phenomenology · Physics 2020-12-17 Darius A. Faroughy

Spatial statistics is traditionally based on stationary models on $\mathbb{R^d}$ like Mat\'ern fields. The adaptation of traditional spatial statistical methods, originally designed for stationary models in Euclidean spaces, to effectively…

Applications · Statistics 2023-12-12 Somnath Chaudhuri , Maria A. Barceló , Pablo Juan , Diego Varga , David Bolin , Haavard Rue , Marc Saez

Traffic accidents are one of the biggest challenges in a society where commuting is so important. What triggers an accident can be dependent on several subjective parameters and varies within each region, city, or country. In the same way,…

Machine Learning · Computer Science 2024-01-01 Vinicius Lima , Vetria Byrd

Most extreme events in real life can be faithfully modeled as random realizations from a Generalized Pareto distribution, which depends on two parameters: the scale and the shape. In many actual situations, one is mostly concerned with the…

Statistics Theory · Mathematics 2016-06-30 Paul Rochet , Isabel Serra

In the last four years, the number of distinct autonomous vehicles platforms deployed in the streets of California increased 6-fold, while the reported accidents increased 12-fold. This can become a trend with no signs of subsiding as it is…

Software Engineering · Computer Science 2020-05-18 Joachim Haensel , Christian M. Adriano , Johannes Dyck , Holger Giese

In this research, two-state Markov switching models are proposed to study accident frequencies and severities. These models assume that there are two unobserved states of roadway safety, and that roadway entities (e.g., roadway segments)…

Applications · Statistics 2008-12-09 Nataliya V. Malyshkina

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

Computational Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

Road casualties represent an alarming concern for modern societies. During the last years, several authors proposed sophisticated approaches to help authorities implement new policies. These models were usually developed considering a set…

Applications · Statistics 2023-07-06 Andrea Gilardi , Riccardo Borgoni , Luca Presicce , Jorge Mateu

The missing data issue often complicates the task of estimating generalized linear models (GLMs). We describe why the pseudo-marginal Metropolis-Hastings algorithm, used in this setting, is an effective strategy for parameter estimation.…

Methodology · Statistics 2019-07-23 Taylor R. Brown , Timothy L. McMurry , Alexander Langevin

Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two…

Atmospheric and Oceanic Physics · Physics 2019-03-15 Jue Lin-Ye , Manuel García-León , Vicente Gràcia , Maribel Ortego , Piero Lionello , Agustín Sanchez-Arcilla

Evaluating the effectiveness and benefits of driver assistance systems is crucial for improving the system performance. In this paper, we propose a novel framework for testing and evaluating lane departure correction systems at a low cost…

Systems and Control · Computer Science 2017-02-21 Wenshuo Wang , Ding Zhao

Understanding traffic collision patterns is of high importance for effective road safety planning in fast-growing urban environments. This study examines the temporal and spatial patterns of traffic collisions in Dubai, UAE, with a…

Computational Engineering, Finance, and Science · Computer Science 2026-01-21 Nael Alsaleh , Noura Falis , Tareq Alsaleh , Farah Ba Fakih

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

Risk assessment is a central element for the development and validation of Autonomous Vehicles (AV). It comprises a combination of occurrence probability and severity of future critical events. Time Headway (TH) as well as Time-To-Contact…

Artificial Intelligence · Computer Science 2023-03-14 Tim Puphal , Malte Probst , Julian Eggert

This paper presents a novel spatially consistent approach for modeling line-of-sight (LOS) paths in vehicular networks. We use stochastic geometry to model transmitters, obstacles, and receivers located in three parallel lines,…

Information Theory · Computer Science 2021-08-25 Chang-Sik Choi , François Baccelli

Safety in obstacle avoidance is critical for autonomous driving. While model predictive control (MPC) is widely used, simplified prediction models such as linearized or single-track vehicle models introduce discrepancies between predicted…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Shiming Fang , Xilin Li , Changzhi Wu , Kaiyan Yu