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Due to its ability to summarise 'real-time' epidemic behaviour, the time-dependent reproduction number, Rt, is a useful metric for tracking pathogen transmission and quantifying the effects of interventions during infectious disease…

种群与进化 · 定量生物学 2026-03-12 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

统计理论 · 数学 2017-10-23 Nazar Buzun , Valeriy Avanesov

Generalized linear models (GLMs) form one of the most popular classes of models in statistics. The gamma variant is used, for instance, in actuarial science for the modelling of claim amounts in insurance. A flaw of GLMs is that they are…

统计方法学 · 统计学 2024-02-12 Philippe Gagnon , Yuxi Wang

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

物理与社会 · 物理学 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

物理与社会 · 物理学 2023-06-07 Teruyoshi Kobayashi

The estimation problem in a high regression model with structured sparsity is investigated. An algorithm using a two steps block thresholding procedure called GR-LOL is provided. Convergence rates are produced: they depend on simple…

统计理论 · 数学 2012-07-10 Mathilde Mougeot , Dominique Picard , Karine Tribouley

The development of robust generative models for highly varied non-stationary time series data is a complex yet important problem. Traditional models for time series data prediction, such as Long Short-Term Memory (LSTM), are inefficient and…

机器学习 · 计算机科学 2024-11-18 Anton Johansson , Arunselvan Ramaswamy

For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the…

物理与社会 · 物理学 2019-04-10 Mi Jin Lee , Deok-Sun Lee

Temporally indexed data are essential in a wide range of fields and of interest to machine learning researchers. Time series data, however, are often scarce or highly sensitive, which precludes the sharing of data between researchers and…

机器学习 · 计算机科学 2024-07-10 Alexander Nikitin , Letizia Iannucci , Samuel Kaski

Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic…

物理与社会 · 物理学 2020-07-14 Samuel Unicomb , Gerardo Iñiguez , James P. Gleeson , Márton Karsai

The past few years have seen impressive progress in the development of deep generative models capable of producing high-dimensional, complex, and photo-realistic data. However, current methods for evaluating such models remain incomplete:…

机器学习 · 计算机科学 2024-03-14 Marco Jiralerspong , Avishek Joey Bose , Ian Gemp , Chongli Qin , Yoram Bachrach , Gauthier Gidel

With the advancement of computational network science, its research scope has significantly expanded beyond static graphs to encompass more complex structures. The introduction of streaming, temporal, multilayer, and hypernetwork approaches…

社会与信息网络 · 计算机科学 2024-05-29 Michał Czuba , Mateusz Nurek , Damian Serwata , Yu-Xuan Qiu , Mingshan Jia , Katarzyna Musial , Radosław Michalski , Piotr Bródka

Score-based generative models (SGMs) have demonstrated remarkable synthesis quality. SGMs rely on a diffusion process that gradually perturbs the data towards a tractable distribution, while the generative model learns to denoise. The…

机器学习 · 统计学 2022-03-28 Tim Dockhorn , Arash Vahdat , Karsten Kreis

This paper is devoted to the study of the general linear hypothesis testing (GLHT) problem of multi-sample high-dimensional mean vectors. For the GLHT problem, we introduce a test statistic based on $L^2$-norm and random integration method,…

统计理论 · 数学 2024-10-22 Mingxiang Cao , Yelong Qiu , Junyong Park

Generalized linear models (GLMs) are a widely utilized family of machine learning models in real-world applications. As data size increases, it is essential to perform efficient distributed training for these models. However, existing…

分布式、并行与集群计算 · 计算机科学 2023-05-11 Hongjing Huang , Yingtao Li , Jie Sun , Xueying Zhu , Jie Zhang , Liang Luo , Jialin Li , Zeke Wang

Source detection (SD) is the task of finding the origin of a spreading process in a network. Algorithms for SD help us combat diseases, misinformation, pollution, and more, and have been studied by physicians, physicists, sociologists, and…

数据结构与算法 · 计算机科学 2025-08-14 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

Understanding cascading processes on complex network topologies is paramount for modelling how diseases, information, fake news and other media spread. In this paper, we extend the multi-type branching process method developed in Keating et…

物理与社会 · 物理学 2022-12-02 Leah A. Keating , James P. Gleeson , David J. P. O'Sullivan

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at…

统计方法学 · 统计学 2022-01-25 Batuhan Arasli , Sennur Ulukus

We consider an infinite-dimensional stochastic clustering model on $\mathbb{R}$. In discrete time, each point of a unit-intensity simple point process moves halfway toward either of its left or right neighbors, chosen uniformly at random.…

概率论 · 数学 2026-03-10 Partha S. Dey , S. Rasoul Etesami , Aditya S. Gopalan

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

物理与社会 · 物理学 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan