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This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

A probability distribution allows practitioners to uncover hidden structure in the data and build models to solve supervised learning problems using limited data. The focus of this report is on Variational autoencoders, a method to learn…

Machine Learning · Computer Science 2022-06-22 Vasanth Kalingeri

Understanding driver interactions is critical to designing autonomous vehicles to interoperate safely with human-driven cars. We consider the impact of these interactions on the policies drivers employ when navigating unsigned intersections…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Rachel DiPirro , Rosalyn Devonport , Dan Calderone , Chishang "Mario'' Yang , Wendy Ju , Meeko Oishi

In multi-agent based traffic simulation, agents are always supposed to move following existing instructions, and mechanically and unnaturally imitate human behavior. The human drivers perform acceleration or deceleration irregularly all the…

Multiagent Systems · Computer Science 2021-01-26 Junjie Zhong , Hiromitsu Hattori

For highly automated driving above SAE level~3, behavior generation algorithms must reliably consider the inherent uncertainties of the traffic environment, e.g. arising from the variety of human driving styles. Such uncertainties can…

Artificial Intelligence · Computer Science 2021-02-08 Julian Bernhard , Stefan Pollok , Alois Knoll

In this paper, we study methods to estimate drivers' posture in vehicles using acceleration data of wearable sensor and conduct a field test. Recently, sensor technologies have been progressed. Solutions of safety management to analyze…

Human-Computer Interaction · Computer Science 2024-09-17 Yoji Yamato

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

Applications · Statistics 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

We employ distribution regression (DR) to estimate the joint distribution of two outcome variables conditional on chosen covariates. While Bivariate Distribution Regression (BDR) is useful in a variety of settings, it is particularly…

Pareto front learning is a technique that introduces preference vectors in a neural network to approximate the Pareto front. Previous Pareto front learning methods have demonstrated high performance in approximating simple Pareto fronts.…

Machine Learning · Computer Science 2024-04-15 Rongguang Ye , Lei Chen , Weiduo Liao , Jinyuan Zhang , Hisao Ishibuchi

Many-particle simulations of vehicle interactions have been quite successful in the qualitative reproduction of observed traffic patterns. However, the assumed interactions could not be measured, as human interactions are hard to quantify…

Statistical Mechanics · Physics 2009-11-10 Milan Krbalek , Dirk Helbing

Credible microscopic traffic simulation requires car-following models that capture both the average response and the substantial variability observed across drivers and situations. However, most data-driven calibrations remain…

Applications · Statistics 2026-02-06 Menglin Kong , Chengyuan Zhang , Lijun Sun

Many single-target regression problems require estimates of uncertainty along with the point predictions. Probabilistic regression algorithms are well-suited for these tasks. However, the options are much more limited when the prediction…

Machine Learning · Statistics 2021-06-08 Michael O'Malley , Adam M. Sykulski , Rick Lumpkin , Alejandro Schuler

In this paper, a synergistic combination of deep reinforcement learning and hierarchical game theory is proposed as a modeling framework for behavioral predictions of drivers in highway driving scenarios. The need for a modeling framework…

Multiagent Systems · Computer Science 2020-03-26 Berat Mert Albaba , Yildiray Yildiz

This paper has incorporated the stochasticity into the Newell car following model. Three stochastic driving factors have been considered: (i) Driver's acceleration is bounded. (ii) Driver's deceleration includes stochastic component, which…

Physics and Society · Physics 2018-11-02 Junfang Tian , Rui Jiang , Bin Jia , Shoufeng Ma , Ziyou Gao

A new multivariate distribution possessing arbitrarily parametrized and positively dependent univariate Pareto margins is introduced. Unlike the probability law of Asimit et al. (2010) [Asimit, V., Furman, E. and Vernic, R. (2010) On a…

Risk Management · Quantitative Finance 2016-07-19 Jianxi Su , Edward Furman

Although the open-field test has been widely used, its reliability and compatibility are frequently questioned. Although many indicating parameters were introduced for this test, they did not take data distributions into consideration. This…

Quantitative Methods · Quantitative Biology 2019-06-05 Tomokazu Konishi , Haruna Ohrui

We present a microscopic driving algorithm that prescribes the acceleration using three parameters: the distance to the leading vehicle, to the next traffic light and to the nearest stopping point when the next traffic light is in the red…

Physics and Society · Physics 2021-04-16 Enrique Pazos

Driving behaviour is one of the primary causes of road crashes and accidents, and these can be decreased by identifying and minimizing aggressive driving behaviour. This study identifies the timesteps when a driver in different…

Machine Learning · Computer Science 2021-11-10 Farid Talebloo , Emad A. Mohammed , Behrouz Far

A discrete model of traffic on a multilane road is considered. The traffic is presented as particles movement with a deterministic component and a stochastic one. Formulas for the traffic characteristics have been found. The model can…

Physics and Society · Physics 2007-05-23 A. P. Buslaev , V. M. Prikhodko , A. G. Tatashev , M. V. Yashina

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

Numerical Analysis · Mathematics 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti
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