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Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Airborne pandemics have caused millions of deaths worldwide, large-scale economic losses, and catastrophic sociological shifts in human history. Researchers have developed multiple mathematical models and computational frameworks to…

Information Retrieval · Computer Science 2024-06-18 Teddy Lazebnik , Ariel Alexi

The dynamics that govern disease spread are hard to model because infections are functions of both the underlying pathogen as well as human or animal behavior. This challenge is increased when modeling how diseases spread between different…

Methodology · Statistics 2022-08-08 Parker Trostle , Joseph Guinness , Brian J. Reich

Infectious diseases have severe health and economic consequences for society. It is important in controlling the spread of an emerging infectious disease to be able to both estimate the parameters of the underlying model and identify those…

Computation · Statistics 2019-09-26 Jessica Welding , Peter Neal

Spatiotemporal data is increasingly available due to emerging sensor and data acquisition technologies that track moving objects. Spatiotemporal clustering addresses the need to efficiently discover patterns and trends in moving object…

Machine Learning · Computer Science 2024-04-16 Olga Dorabiala , Devavrat Vivek Dabke , Jennifer Webster , Nathan Kutz , Aleksandr Aravkin

Monitoring contact pressure in hospital beds is essential for preventing pressure ulcers and enabling real-time patient assessment. Current methods can predict pressure maps but often lack physical plausibility, limiting clinical…

Image and Video Processing · Electrical Eng. & Systems 2026-02-13 Neevkumar Manavar , Hanno Gerd Meyer , Joachim Waßmuth , Barbara Hammer , Axel Schneider

The abundance of fine-grained spatio-temporal data, such as traffic sensor networks, offers vast opportunities for scientific discovery. However, inferring causal relationships from such observational data remains challenging, particularly…

Machine Learning · Statistics 2025-12-01 Xintong Li , Haoran Zhang , Xiao Zhou

Complex systems span multiple spatial and temporal scales, making their dynamics challenging to understand and predict. This challenge is especially daunting when one wants to study localized and/or rare events. Advances in dynamical…

Atmospheric and Oceanic Physics · Physics 2025-09-22 Chenyu Dong , Gabriele Messori , Davide Faranda , Adriano Gualandi , Valerio Lucarini , Gianmarco Mengaldo

A Distributional (Single) Index Model (DIM) is a semi-parametric model for distributional regression, that is, estimation of conditional distributions given covariates. The method is a combination of classical single index models for the…

Methodology · Statistics 2022-08-04 Alexander Henzi , Gian-Reto Kleger , Johanna F. Ziegel

Understanding the spread of infectious diseases such as COVID-19 is crucial for informed decision-making and resource allocation. A critical component of disease behavior is the velocity with which disease spreads, defined as the rate of…

Applications · Statistics 2025-12-23 Fernando Rodriguez Avellaneda , Jorge Mateu , Paula Moraga

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

Populations and Evolution · Quantitative Biology 2015-06-11 Joel C. Miller

Environmental exposures, such as air pollution and extreme temperatures, have complex effects on human health. These effects are often characterized by non-linear exposure-lag-response relationships and delayed impacts over time. Accurately…

Methodology · Statistics 2025-12-02 Álvaro Briz-Redón , Ana Corberán-Vallet , Adina Iftimi , Carmen Íñiguez

This study introduces an integrated framework for predictive causal inference designed to overcome limitations inherent in conventional single model approaches. Specifically, we combine a Hidden Markov Model (HMM) for spatial health state…

Methodology · Statistics 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

Service-level mobile traffic prediction for individual users is essential for network efficiency and quality of service enhancement. However, current prediction methods are limited in their adaptability across different urban environments…

Machine Learning · Computer Science 2025-07-25 Shiyuan Zhang , Tong Li , Zhu Xiao , Hongyang Du , Kaibin Huang

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…

Physics and Society · Physics 2012-07-20 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

This paper is devoted to the study of a stochastic epidemiological model which is a variant of the SIR model to which we add an extra factor in the transition rate from susceptible to infected accounting for the inflow of infection due to…

Analysis of PDEs · Mathematics 2021-06-29 Gadi Fibich , Samuel Nordmann

Diffusion models have been used extensively for high quality image and video generation tasks. In this paper, we propose a novel conditional diffusion model with spatial attention and latent embedding (cDAL) for medical image segmentation.…

Image and Video Processing · Electrical Eng. & Systems 2025-02-21 Behzad Hejrati , Soumyanil Banerjee , Carri Glide-Hurst , Ming Dong

Movement drives the spread of infectious disease, gene flow, and other critical ecological processes. To study these processes we need models for movement that capture complex behavior that changes over time and space in response to biotic…

Applications · Statistics 2016-06-28 Ephraim M. Hanks , David A. Hughes

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

Methodology · Statistics 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe