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Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

Methodology · Statistics 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

A study of correlations in tractable multiparticle cascade models in terms of wavelets reveals many promising features. The selfsimilar construction of the wavelet basis functions and their multiscale localization properties provide a new…

High Energy Physics - Phenomenology · Physics 2016-09-01 Martin Greiner , Jens Giesemann , Peter Lipa , Peter Carruthers

The analysis of network data has gained considerable interest in recent years. This also includes the analysis of large, high-dimensional networks with hundreds and thousands of nodes. While exponential random graph models serve as…

Methodology · Statistics 2023-09-13 Nadja Klein , Göran Kauermann

Diseases and other contagion phenomena in nature and society can interact asymmetrically, such that one can benefit from the other, which in turn impairs the first, in analogy with predator-prey systems. Here, we consider two models for…

Physics and Society · Physics 2021-02-17 Paulo Cesar Ventura , Yamir Moreno , Francisco A. Rodrigues

With advances in sequencing technologies, there are now massive amounts of genomic data from across all life, leading to the possibility that a robust Tree of Life can be constructed. However, "gene tree heterogeneity", which is when…

Populations and Evolution · Quantitative Biology 2018-03-08 Sebastien Roch , Michael Nute , Tandy Warnow

Dispersal is a key ecological process, that enables local populations to form spatially extended systems called metapopulations. In the present study, we investigate how dispersal affects the linear stability of a general single-species…

Populations and Evolution · Quantitative Biology 2016-01-11 Eric Tromeur , Lars Rudolf , Thilo Gross

A wide variety of complex networks (social, biological, information etc.) exhibit local clustering with substantial variation in the clustering coefficient (the probability of neighbors being connected). Existing models of large graphs…

Discrete Mathematics · Computer Science 2017-09-28 Samantha Petti , Santosh Vempala

In the information overloaded web, personalized recommender systems are essential tools to help users find most relevant information. The most heavily-used recommendation frameworks assume user interactions that are characterized by a…

Information Retrieval · Computer Science 2017-03-06 Fatemeh Vahedian , Robin Burke , Bamshad Mobasher

Correlations between high life expectancy and low lifespan inequality are frequently observed. A recent article seeks to explain this phenomenon by proposing that a mortality improvement maps to life expectancy and relative lifespan…

Populations and Evolution · Quantitative Biology 2020-11-23 M. J. Wensink

1) Micro-evolutionary predictions are complicated by ecological feedbacks like density dependence, while ecological predictions can be complicated by evolutionary change. A widely used approach in micro-evolution, quantitative genetics,…

Populations and Evolution · Quantitative Biology 2015-09-07 Tim Coulson , Floriane Plard , Susanne Schindler , Arpat Ozgul , Jean-Michel Gaillard

We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditions, we show the existence of a phase transition between a…

Statistical Mechanics · Physics 2009-11-07 Frank Zielen , Andreas Schadschneider

Human mobility, contact patterns, and their interplay are key aspects of our social behavior that shape the spread of infectious diseases across different regions. In the light of new evidence and data sets about these two elements,…

Physics and Society · Physics 2021-07-26 Wesley Cota , David Soriano-Paños , Alex Arenas , Silvio C. Ferreira , Jesús Gómez-Gardeñes

Power-law scaling in coarse-grained data suggests critical dynamics, but the true source of this scaling often remains unclear. Here, we analyze neural activity recorded during spatial navigation, reproducing power-law scaling under a…

Neurons and Cognition · Quantitative Biology 2025-08-01 John J. Briguglio , Jaesung Lee , Albert K. Lee , Vincent Hakim , Sandro Romani

Existing theory for multivariate extreme values focuses upon characterizations of the distributional tails when all components of a random vector, standardized to identical margins, grow at the same rate. In this paper, we consider the…

Statistics Theory · Mathematics 2013-12-20 J. L. Wadsworth , J. A. Tawn

We study numerically how the structures of distinct networks influence the epidemic dynamics in contact process. We first find that the variability difference between homogeneous and heterogeneous networks is very narrow, although the…

Physics and Society · Physics 2012-04-04 Kai Gong , Ming Tang , Hui Yang , Mingsheng Shang

We show how one can trace in a systematic way the coarse-grained solutions of individual-based stochastic epidemic models evolving on heterogeneous complex networks with respect to their topological characteristics. In particular, we have…

Social and Information Networks · Computer Science 2023-03-24 Andreas I. Reppas , Konstantinos Spiliotis , Constantinos Siettos

The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear…

Applications · Statistics 2016-05-02 Rui Martins

We present our recent work on stochastic particle systems on complex networks. As a noninteracting system we first consider the diffusive motion of a random walker on heterogeneous complex networks. We find that the random walker is…

Statistical Mechanics · Physics 2007-05-23 Jae Dong Noh

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

Machine Learning · Statistics 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

To analyze and project age-specific mortality or morbidity rates age-period-cohort (APC) models are very popular. Bayesian approaches facilitate estimation and improve predictions by assigning smoothing priors to age, period and cohort…

Applications · Statistics 2012-03-21 Andrea Riebler , Leonhard Held , Håvard Rue