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The effects of the propagation of particles which have a finite life-time and an according broad distribution in their mass spectrum are discussed in the context of a transport descriptions. In the first part some example cases of mesonic…

核理论 · 物理学 2009-11-11 J. Knoll , F. Riek , Yu. B. Ivanov , D. N. Voskresensky

Systems where resource availability approaches a critical threshold are common to many engineering and scientific applications and often necessitate the estimation of first passage time statistics of a Brownian motion (Bm) driven by…

统计力学 · 物理学 2011-04-05 Annalisa Molini , Peter Talkner , Gabriel G. Katul , Amilcare Porporato

Vehicle-infrastructure communication opens up new ways to improve traffic flow efficiency at signalized intersections. In this study, we assume that equipped vehicles can obtain information about switching times of relevant traffic lights…

物理与社会 · 物理学 2014-04-01 Martin Treiber , Arne Kesting

Disputes over cost allocation can present a significant barrier to investment in shared infrastructure. While it may be desirable to allocate cost in a way that corresponds to expected benefits, investments in long-lived projects are made…

系统与控制 · 电气工程与系统科学 2024-03-25 Han Shu , Jacob Mays

Optimal transport is widely used to learn distributions, enforce distributional constraints, and model uncertainty. In applications, transport losses are often computed from samples through tractable representations, such as one-dimensional…

最优化与控制 · 数学 2026-05-28 Tam Le

The statistics of charge transport across a tunnel junction with energy-dependent scattering is investigated. A model with quadratic dispersion relation is discussed in general and, independently, in the two limiting cases of a large…

介观与纳米尺度物理 · 物理学 2015-06-15 Vincent Beaud , Gian Michele Graf , Andrei V. Lebedev , Gordey B. Lesovik

In compact settings, the convergence rate of the empirical optimal transport cost to its population value is well understood for a wide class of spaces and cost functions. In unbounded settings, however, hitherto available results require…

统计理论 · 数学 2024-07-24 Thomas Staudt , Shayan Hundrieser

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

统计理论 · 数学 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent…

概率论 · 数学 2022-12-09 Jérôme Dedecker , Florence Merlevède , Emmanuel Rio

In this paper we revisit a class of optimal transport problems associated to non-autonomous linear control systems. Building on properties of the cost functions on $\mathbb{R}^{d}\times\mathbb{R}^{d}$ derived from suitable variational…

最优化与控制 · 数学 2025-05-26 Amit Einav , Yue Jiang , Alpár R. Mészáros

The increased use of personal vehicles presents environmental challenges, prompting the exploration of public transportation as an affordable, eco-friendly alternative. However, obstacles like fixed schedules, limited routes, and extended…

应用统计 · 统计学 2024-02-13 Meiyu , Pan , Christa Brelsford , Majbah Uddin

The information diffusion prediction on social networks aims to predict future recipients of a message, with practical applications in marketing and social media. While different prediction models all claim to perform well, general…

社会与信息网络 · 计算机科学 2025-01-16 Wenjin Xie , Xiaomeng Wang , Radosław Michalski , Tao Jia

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

最优化与控制 · 数学 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

The transport equation of active motion is generalised to consider time-fractional dynamics for describing the anomalous diffusion of self-propelled particles observed in many different systems. In the present study, we consider an…

统计力学 · 物理学 2023-10-27 Francisco J. Sevilla , Guillermo Chacón-Acosta , Trifce Sandev

The analysis of GPS trajectories is a well-studied problem in Urban Computing and has been used to track people. Analyzing people mobility and identifying the transportation mode used by them is essential for cities that want to reduce…

机器学习 · 计算机科学 2020-07-20 I. Cardoso-Pereira , J. B. Borges , P. H. Barros , A. F. Loureiro , O. A. Rosso , H. S. Ramos

We present certain mathematical aspects of an information method which was formulated in an attempt to investigate diffusion phenomena. We imagine a regular dynamical hamiltonian systems under the random perturbation of thermal (molecular)…

统计力学 · 物理学 2007-05-23 Qiuping A. Wang , Wei Li

Recent research in the social sciences has identified situations in which small changes in the way that information is provided to consumers can have large aggregate effects on behavior. This has been promoted in popular media in areas of…

计算机科学与博弈论 · 计算机科学 2022-07-06 Philip N. Brown

Traffic prediction is one of the most significant foundations in Intelligent Transportation Systems (ITS). Traditional traffic prediction methods rely only on historical traffic data to predict traffic trends and face two main challenges.…

机器学习 · 计算机科学 2024-02-06 Chengyang Zhang , Yong Zhang , Qitan Shao , Bo Li , Yisheng Lv , Xinglin Piao , Baocai Yin

Employing the lattice gas model, combined with the linear elasticity theory, a correlation between the equilibrium and transport properties of intercalated species is investigated. It is shown that the major features of the intercalation…

统计力学 · 物理学 2007-05-23 E. V. Vakarin , J. P. Badiali

Optimal transportation distances are valuable for comparing and analyzing probability distributions, but larger-scale computational techniques for the theoretically favorable quadratic case are limited to smooth domains or regularized…

其他计算机科学 · 计算机科学 2016-03-23 Justin Solomon , Raif Rustamov , Leonidas Guibas , Adrian Butscher