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Circular data arise in many areas of application. Recently, there has been interest in looking at circular data collected separately over time and over space. Here, we extend some of this work to the spatio-temporal setting, introducing…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

We propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NS) model of highway…

Statistical Mechanics · Physics 2016-08-31 Debashish Chowdhury , Andreas Schadschneider

In this paper, we model dependence between operational risks by allowing risk profiles to evolve stochastically in time and to be dependent. This allows for a flexible correlation structure where the dependence between frequencies of…

Risk Management · Quantitative Finance 2009-07-31 Gareth W. Peters , Pavel V. Shevchenko , Mario V. Wüthrich

We consider the problem of high-dimensional Gaussian graphical model selection. We identify a set of graphs for which an efficient estimation algorithm exists, and this algorithm is based on thresholding of empirical conditional…

Machine Learning · Computer Science 2012-03-06 Animashree Anandkumar , Vincent Y. F. Tan , Alan. S. Willsky

Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

Machine Learning · Statistics 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

Simulation of autonomous vehicle systems requires that simulated traffic participants exhibit diverse and realistic behaviors. The use of prerecorded real-world traffic scenarios in simulation ensures realism but the rarity of safety…

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

Applications · Statistics 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

Robotics · Computer Science 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

Dynamical Systems · Mathematics 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

Methodology · Statistics 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

The estimation of directed couplings between the nodes of a network from indirect measurements is a central methodological challenge in scientific fields such as neuroscience, systems biology and economics. Unfortunately, the problem is…

Machine Learning · Computer Science 2025-01-28 Louis Rouillard , Luca Ambrogioni , Demian Wassermann

This work presents an innovative learning-based approach to tackle the tracking control problem of Euler-Lagrange multi-agent systems with partially unknown dynamics operating under switching communication topologies. The approach leverages…

Multiagent Systems · Computer Science 2024-02-07 Zewen Yang , Songbo Dong , Armin Lederer , Xiaobing Dai , Siyu Chen , Stefan Sosnowski , Georges Hattab , Sandra Hirche

The problem of structure estimation in graphical models with latent variables is considered. We characterize conditions for tractable graph estimation and develop efficient methods with provable guarantees. We consider models where the…

Machine Learning · Statistics 2013-04-23 Animashree Anandkumar , Ragupathyraj Valluvan

We propose a Bayesian inference approach for a class of latent Markov models. These models are widely used for the analysis of longitudinal categorical data, when the interest is in studying the evolution of an individual unobservable…

Methodology · Statistics 2011-01-05 Francesco Bartolucci , Silvia Pandolfi

Modelling and understanding directional gene networks is a major challenge in biology as they play an important role in the architecture and function of genetic systems. Copula Directional Dependence (CDD) can measure the directed…

Methodology · Statistics 2022-03-11 Vasiliki Vamvaka , Clara Grazian

In this paper, we consider the travel time tomography problem for conformal metrics on a bounded domain, which seeks to determine the conformal factor of the metric from the lengths of geodesics joining boundary points. We establish forward…

Differential Geometry · Mathematics 2024-05-28 Ashwin Tarikere , Hanming Zhou

We consider a Markovian load balancing model on a fully-connected network, where calls have Poisson arrivals and exponential durations. The endpoints of each call are uniform over all the links of the network. Each call is routed either…

Probability · Mathematics 2013-06-24 Malwina Luczak

In this paper, both the fixed-time distributed consensus tracking and the fixed-time distributed average tracking problems for double-integrator-type multi-agent systems with bounded input disturbances are studied, respectively. Firstly, a…

Multiagent Systems · Computer Science 2020-09-04 Qiang Chen , Yu Zhao , Guanghui Wen , Guoqing Shi , Xinghuo Yu

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions separately from the dependence structure (copula) that links them to…

Methodology · Statistics 2021-09-09 Nicolás Kuschinski , Alejandro Jara

Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman