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Analyzing the impact of the environment on drivers' stress level and workload is of high importance for designing human-centered driver-vehicle interaction systems and to ultimately help build a safer driving experience. However, driver's…

人机交互 · 计算机科学 2022-03-03 Arash Tavakoli , Steven Boker , Arsalan Heydarian

There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

统计力学 · 物理学 2007-05-23 Dominic Jost , Kai Nagel

Exposure to air pollution is associated with increased morbidity and mortality. Recent technological advancements permit the collection of time-resolved personal exposure data. Such data are often incomplete with missing observations and…

Background: Multiple Sclerosis (MS), an autoimmune disease affecting millions worldwide, is characterized by its variable course, in which some patients will experience a more benign disease course and others a more active one, with the…

应用统计 · 统计学 2024-12-12 Uma Sthanu , Gary Cutter PhD

Understanding and predicting how complex systems respond to external perturbations is a central challenge in nonequilibrium statistical physics. Here we consider continuous-time Markov networks, which we subject to perturbations along a…

统计力学 · 物理学 2026-02-25 Robin Bebon , Thomas Speck

A Markovian dichotomic system driven by a deterministic time-periodic force is analyzed in terms of the statistical properties of the switching events between the states. The consideration of the counting process of the switching events…

统计力学 · 物理学 2009-11-10 Jesús Casado-Pascual , José Gómez-Ordóñez , M. Morillo

We consider an additive functional driven by a time-inhomogeneous Markov chain with a finite state space. Our study focuses on the joint distribution of the two-sided exit time and the state of the driving Markov chain at the time of exit,…

概率论 · 数学 2023-07-06 Tomasz R. Bielecki , Ziteng Cheng , Ruoting Gong

Focusing on stochastic systems arising in mean-field models, the systems under consideration belong to the class of switching diffusions, in which continuous dynamics and discrete events coexist and interact. The discrete events are modeled…

概率论 · 数学 2019-01-18 Son L. Nguyen , George Yin , Tuan A. Hoang

A reliable estimation of the communication chan-nel which connects automated vehicles is an important steptowards the safety of connected and automated vehicles. The communication channel is usually modeled as Markov chain with slowly…

信号处理 · 电气工程与系统科学 2019-11-25 Johannes Müller , Thomas Griebel , Michael Gabb , Michael Buchholz

This paper deals with the problems of stochastic stability and sliding mode control for a class of continuous-time Markovian jump systems with mode-dependent time-varying delays and partly unknown transition probabilities. The design method…

系统与控制 · 计算机科学 2018-04-26 Nasibeh Zohrabi , Hasan Zakeri , Amir Hossein Abolmasoumi , Hamid Reza Momeni

We present an approach to estimate the severity of traffic related accidents in aggregated (area-level) and disaggregated (point level) data. Exploring spatial features, we measure complexity of road networks using several area level…

机器学习 · 计算机科学 2019-06-26 Devashish Khulbe , Soumya Sourav

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

计量经济学 · 经济学 2023-12-05 Kevin Dano

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

应用统计 · 统计学 2021-11-29 Martin Bladt

Several intelligent transportation systems focus on studying the various driver behaviors for numerous objectives. This includes the ability to analyze driver actions, sensitivity, distraction, and response time. As the data collection is…

机器学习 · 计算机科学 2021-08-31 Ahmed B. Zaky , Mohamed A. Khamis , Walid Gomaa

With increasingly available computer-based or online assessments, researchers have shown keen interest in analyzing log data to improve our understanding of test takers' problem-solving processes. In this paper, we propose a multi-state…

应用统计 · 统计学 2026-01-14 Jina Park , Ick Hoon Jin , Minjeong Jeon

Switched systems are capable of modeling processes with underlying dynamics that may change abruptly over time. To achieve accurate modeling in practice, one may need a large number of modes, but this may in turn increase the model…

系统与控制 · 电气工程与系统科学 2022-10-24 Zhe Du , Laura Balzano , Necmiye Ozay

The efficient calculation of rare-event kinetics in complex dynamical systems, such as the rate and pathways of ligand dissociation from a protein, is a generally unsolved problem. Markov state models can systematically integrate ensembles…

化学物理 · 物理学 2016-02-03 Benjamin Trendelkamp-Schroer , Frank Noe

This paper develops a new class of conditional Markov jump processes with regime switching and paths dependence. The key novel feature of the developed process lies on its ability to switch the transition rate as it moves from one state to…

统计方法学 · 统计学 2021-07-16 Budhi Surya

We address a class of Markov jump linear systems that are characterized by the underlying Markov process being time-inhomogeneous with a priori unknown transition probabilities. Necessary and sufficient conditions for uniform stochastic…

系统与控制 · 计算机科学 2014-11-24 Collin C. Lutz , Daniel J. Stilwell

In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as a cooling of the dynamics of an underlying Markov chain. We…

概率论 · 数学 2017-05-08 Florian Bouguet , Bertrand Cloez