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I present a novel approach to estimating the temporal and spatial patterns of violent conflict. I show how we can use highly temporally and spatially disaggregated data on conflict events in tandem with Gaussian processes to estimate…

机器学习 · 统计学 2025-06-10 Simon P. von der Maase

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

统计力学 · 物理学 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

This study examines how the fate of a perpetrator in a public mass shooting influences the fate of subsequent perpetrators. Using data from 1966 to 2024, we classify incidents according to whether the perpetrator died at the scene or…

社会与信息网络 · 计算机科学 2026-01-21 Youness Diouane , James Silver

A new discrete-time shot noise Cox process for spatiotemporal data is proposed. The random intensity is driven by a dependent sequence of latent gamma random measures. Some properties of the latent process are derived, such as an…

统计方法学 · 统计学 2023-08-17 Federico Bassetti , Roberto Casarin , Matteo Iacopini

We study viral transmission in crowds via the short-ranged airborne pathway using a purely model-based approach. Our goal is two-pronged. Firstly, we illustrate with a concrete and pedagogical case study how to estimate the risks of new…

多智能体系统 · 计算机科学 2023-12-05 Alexandre Nicolas , Simon Mendez

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

Infectious diseases outbreaks are often characterized by a spatial component induced by hosts' distribution, mobility, and interactions. Spatial models that incorporate hosts' movements are being used to describe these processes, to…

物理与社会 · 物理学 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuations in the wave speed and density, and it moves due to an…

偏微分方程分析 · 数学 2018-06-19 Liliana Borcea , Josselin Garnier , Knut Solna

Enduring violent conflicts are interrupted by lulls without violence. Studies of interevent times found power law distributions based on coarse-grained data with a resolution of one day. Fine-grained data of violence with a resolution of…

物理与社会 · 物理学 2026-04-14 Jeroen Bruggeman

In the United States, firearm-related deaths and injuries are a major public health issue. Because of limited federal action, state policies are particularly important, and their evaluation informs the actions of other policymakers. The…

应用统计 · 统计学 2025-12-17 Lee Kennedy-Shaffer , Alan Hamilton Kennedy

The diffusion of information and behaviors over social networks is of considerable interest in research fields ranging from sociology to computer science and application domains such as marketing, finance, human health, and national…

适应与自组织系统 · 物理学 2009-12-31 Richard Colbaugh , Kristin Glass

The statistics of Lagrangian pair dispersion in a homogeneous isotropic flow is investigated by means of direct numerical simulations. The focus is on deviations from Richardson eddy-diffusivity model and in particular on the strong…

流体动力学 · 物理学 2015-06-11 Rehab Bitane , Holger Homann , Jeremie Bec

In the presence of unmeasured spatial confounding, spatial models may actually increase (rather than decrease) bias, leading to uncertainty as to how they should be applied in practice. We evaluated spatial modeling approaches through…

Time plays an essential role in the diffusion of information, influence and disease over networks. In many cases we only observe when a node copies information, makes a decision or becomes infected -- but the connectivity, transmission…

社会与信息网络 · 计算机科学 2011-05-05 Manuel Gomez Rodriguez , David Balduzzi , Bernhard Schölkopf

Motivated by the analysis of social networks, we study a model of random networks that has both a given degree distribution and a tunable clustering coefficient. We consider two types of growth processes on these graphs: diffusion and…

概率论 · 数学 2012-02-23 Emilie Coupechoux , Marc Lelarge

The smoothing distribution is the conditional distribution of the diffusion process in the space of trajectories given noisy observations made continuously in time. It is generally difficult to sample from this distribution. We use the…

概率论 · 数学 2025-03-07 Oskar Eklund , Annika Lang , Moritz Schauer

Stochastic modeling of disease dynamics has had a long tradition. Among the first epidemic models including a spatial structure in the form of local interactions is the contact process. In this article we investigate two extensions of the…

概率论 · 数学 2007-05-23 L. Belhadji , N. Lanchier

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

应用统计 · 统计学 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

物理与社会 · 物理学 2021-03-16 Semra Gunduc

Public safety is vital to every country, especially school safety. In the United States, students and educators are concerned about school shootings. There are critical needs to understand the patterns of school shootings. Without this…

计算机与社会 · 计算机科学 2024-12-24 Wei Dai , Rui Zhang , Diya Kafle