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A new strategy is introduced for estimating population size and networked population characteristics. Sample selection is based on a multi-wave snowball sampling design. A generalized stochastic block model is posited for the population's…

Methodology · Statistics 2019-07-30 Kyle Vincent , Steve Thompson

Knowledge of population distribution is critical for building infrastructure, distributing resources, and monitoring the progress of sustainable development goals. Although censuses can provide this information, they are typically conducted…

Machine Learning · Computer Science 2021-10-07 Isaac Neal , Sohan Seth , Gary Watmough , Mamadou S. Diallo

We analyse the statistical properties of genealogical trees in a neutral model of a closed population with sexual reproduction and non-overlapping generations. By reconstructing the genealogy of an individual from the population evolution,…

Condensed Matter · Physics 2009-10-31 Bernard Derrida , Susanna C. Manrubia , Damian H. Zanette

We introduce an analytical statistical method to characterize the communities detected in heterogeneous complex systems. By posing a suitable null hypothesis, our method makes use of the hypergeometric distribution to assess the probability…

There are hierarchical characteristics in the network and how to effectively reveal the hierarchical characteristics in the network is a problem in the research of network structure. If a node is assigned to the community to which it…

Social and Information Networks · Computer Science 2020-03-06 Shun Fu , Ji Xu

Representations of population models in terms of countable systems of particles are constructed, in which each particle has a `type', typically recording both spatial position and genetic type, and a level. For finite intensity models, the…

Probability · Mathematics 2018-06-05 Alison M. Etheridge , Thomas G. Kurtz

The aim of this paper is to describe a population model with transition. We analyze the spectral properties of the transition matrix considering both irreducible and reducible structures. We give physical interpretations of these properties…

Analysis of PDEs · Mathematics 2024-09-30 Amartya Goswami

The rankability of data is a recently proposed problem that considers the ability of a dataset, represented as a graph, to produce a meaningful ranking of the items it contains. To study this concept, a number of rankability measures have…

Combinatorics · Mathematics 2022-03-15 Nathan McJames , David Malone , Oliver Mason

The volume of data generated by internet and social networks is increasing every day, and there is a clear need for efficient ways of extracting useful information from them. As those data can take different forms, it is important to use…

Machine Learning · Statistics 2017-05-25 Bertrand Lebichot , Marco Saerens

A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition of the entire population. We describe the dynamics of the…

Probability · Mathematics 2019-03-13 Jie Yen Fan , Kais Hamza , Peter Jagers , Fima C. Klebaner

Modern population genetics studies typically involve genome-wide genotyping of individuals from a diverse network of ancestries. An important, unsolved problem is how to formulate and estimate probabilistic models of observed genotypes that…

Populations and Evolution · Quantitative Biology 2017-01-10 Wei Hao , Minsun Song , John D. Storey

Hypergraphs have emerged as a powerful modeling framework to represent systems with multiway interactions, that is systems where interactions may involve an arbitrary number of agents. Here we explore the properties of real-world…

Social and Information Networks · Computer Science 2023-07-11 Timothy LaRock , Renaud Lambiotte

Mathematical disease modelling has long operated under the assumption that any one infectious disease is caused by one transmissible pathogen spreading among a population. This paradigm has been useful in simplifying the biological reality…

Populations and Evolution · Quantitative Biology 2021-06-02 Blake J. M. Williams , Guillaume St-Onge , Laurent Hébert-Dufresne

This article introduces a new class of models for multiple networks. The core idea is to parametrize a distribution on labelled graphs in terms of a Fr\'{e}chet mean graph (which depends on a user-specified choice of metric or graph…

Methodology · Statistics 2020-03-09 Simón Lunagómez , Sofia C. Olhede , Patrick J. Wolfe

Attempts have been made recently in the field of population-based structural health monitoring (PBSHM), to transfer knowledge between SHM models of different structures. The attempts have been focussed on homogeneous and heterogeneous…

Machine Learning · Computer Science 2022-03-04 G. Tsialiamanis , C. Mylonas , E. Chatzi , D. J. Wagg , N. Dervilis , K. Worden

Demographic attributes are universally present in electronic health records. They are the most widespread information across populations and diseases, and serve as vital predictors in clinical risk stratification and treatment decisions.…

Machine Learning · Computer Science 2025-10-15 Li-Chin Chen , Ji-Tian Sheu , Yuh-Jue Chuang

Street intersection counts and densities are ubiquitous measures in transport geography and planning. However, typical street network data and typical street network analysis tools can substantially overcount them. This article explains the…

Physics and Society · Physics 2025-05-01 Geoff Boeing

Hierarchical structure is an essential part of complexity, important notion relevant for a wide range of applications ranging from biological population dynamics through robotics to social sciences. In this paper we propose a simple…

Populations and Evolution · Quantitative Biology 2015-06-26 Ivan Gotz , Isaak Rubinstein , Eugene Tsvetkov , Boris Zaltzman

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A, are equivalent from ecological, demographical and spatial…

Populations and Evolution · Quantitative Biology 2017-04-20 Camille Coron , Manon Costa , Hélène Leman , Charline Smadi

Models of population growth and extinction are an increasingly popular subject of study. However, consequences of stochasticity and noise in shaping distributions and outcomes are not sufficiently explored. Here we consider a distributed…

Statistical Mechanics · Physics 2020-11-11 Bertrand Ottino-Löffler , Mehran Kardar