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We study a correlated group testing model where items are infected according to a Markov chain, which creates bursty binfection patterns. Focusing on a very sparse infections regime, we propose a non adaptive testing strategy with an…

Information Theory · Computer Science 2025-01-27 Aditya Narayan Ravi , Ilan Shomorony

Hyperbolic models are known to produce networks with properties observed empirically in most network datasets, including heavy-tailed degree distribution, high clustering, and hierarchical structures. As a result, several embeddings…

Computation · Statistics 2025-05-16 Simon Lizotte , Jean-Gabriel Young , Antoine Allard

The result of 2-dimensional Gaussian lattice fit to a speckle intensity pattern based on a linear model that includes nearest-neighbor interactions is presented. We also include a Monte Carlo simulation of the same spatial speckle pattern…

Optics · Physics 2012-11-13 John R. Smith , J. J. Llovera-Gonzalez , Stephen P. Smith

We study the influence of global, local and community-level risk perception on the extinction probability of a disease in several models of social networks. In particular, we study the infection progression as a…

Physics and Society · Physics 2012-12-05 Franco Bagnoli , Daniel Borkmann , Andrea Guazzini , Emanuele Massaro , Stefan Rudolph

We propose a Monte Carlo algorithm to sample from high dimensional probability distributions that combines Markov chain Monte Carlo and importance sampling. We provide a careful theoretical analysis, including guarantees on robustness to…

Computation · Statistics 2019-09-18 Giacomo Zanella , Gareth Roberts

Traditionally, statistical and causal inference on human subjects rely on the assumption that individuals are independently affected by treatments or exposures. However, recently there has been increasing interest in settings, such as…

Methodology · Statistics 2020-02-25 Elizabeth L. Ogburn , Ilya Shpitser , Youjin Lee

We study a new geometric bootstrap percolation model, line percolation, on the $d$-dimensional integer grid $[n]^d$. In line percolation with infection parameter $r$, infection spreads from a subset $A\subset [n]^d$ of initially infected…

Probability · Mathematics 2017-06-06 Paul Balister , Béla Bollobás , Jonathan Lee , Bhargav Narayanan

We consider the problem of decentralized hypothesis testing under communication constraints in a topology where several peripheral nodes are arranged in tandem. Each node receives an observation and transmits a message to its successor, and…

Information Theory · Computer Science 2015-06-19 Alla Tarighati , Joakim Jalden

Network inference is the process of deciding what is the true unknown graph underlying a set of interactions between nodes. There is a vast literature on the subject, but most known methods have an important drawback: the inferred graph is…

Social and Information Networks · Computer Science 2023-02-03 Effrosyni Papanastasiou , Anastasios Giovanidis

The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel…

Methodology · Statistics 2026-05-06 Matthew Adeoye , Simon E. F. Spencer , Xavier Didelot

Predicting the evolution of diseases is challenging, especially when the data availability is scarce and incomplete. The most popular tools for modelling and predicting infectious disease epidemics are compartmental models. They stratify…

Machine Learning · Computer Science 2023-10-10 Esha Saha , Lam Si Tung Ho , Giang Tran

We study batched bandit experiments and consider the problem of inference conditional on the realized stopping time, assignment probabilities, and target parameter, where all of these may be chosen adaptively using information up to the…

Methodology · Statistics 2026-01-21 Jiafeng Chen , Isaiah Andrews

This paper presents a Bayesian approach to learning the connectivity structure of a group of neurons from data on configuration frequencies. A major objective of the research is to provide statistical tools for detecting changes in firing…

Machine Learning · Computer Science 2013-02-18 Kathryn Blackmond Laskey , Laura Martignon

We study the $r$-complex contagion influence maximization problem. In the influence maximization problem, one chooses a fixed number of initial seeds in a social network to maximize the spread of their influence. In the $r$-complex…

Social and Information Networks · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao , Fang-Yi Yu

We study the problems of estimating the past and future evolutions of two diffusion processes that spread concurrently on a network. Specifically, given a known network $G=(V, \overrightarrow{E})$ and a (possibly noisy) snapshot…

Social and Information Networks · Computer Science 2023-10-31 Nouman Khan , Kangle Mu , Mehrdad Moharrami , Vijay Subramanian

We introduce a new percolation model to describe and analyze the spread of an epidemic on a general directed and locally finite graph. We assign a two-dimensional random weight vector to each vertex of the graph in such a way that the…

Probability · Mathematics 2010-03-30 Ronald Meester , Pieter Trapman

Quality by design in pharmaceutical manufacturing hinges on computational methods and tools that are capable of accurate quantitative prediction of the design space. This paper investigates Bayesian approaches to design space…

Contact tracing data collected from disease outbreaks has received relatively little attention in the epidemic modelling literature because it is thought to be unreliable: infection sources might be wrongly attributed, or data might be…

Methodology · Statistics 2012-03-16 Chris Jewell , Gareth Roberts

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

Methodology · Statistics 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

Modelling epidemics via classical population-based models suffers from shortcomings that so-called individual-based models are able to overcome, as they are able to take heterogeneity features into account, such as super-spreaders, and…

Optimization and Control · Mathematics 2022-05-16 C. Courtès , E. Franck , K. Lutz , L. Navoret , Y. Privat
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