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We introduce Pathogen.jl for simulation and inference of transmission network individual level models (TN-ILMs) of infectious disease spread in continuous time. TN-ILMs can be used to jointly infer transmission networks, event times, and…

Applications · Statistics 2021-08-27 Justin Angevaare , Zeny Feng , Rob Deardon

Forecasting the short-term spread of an ongoing disease outbreak is a formidable challenge due to the complexity of contributing factors, some of which can be characterized through interlinked, multi-modality variables such as…

Machine Learning · Computer Science 2024-04-11 Hongru Du , Jianan Zhao , Yang Zhao , Shaochong Xu , Xihong Lin , Yiran Chen , Lauren M. Gardner , Hao Frank Yang

This study investigates the spatial integration of agent-based models (ABMs) and compartmental models for infectious disease modeling, presenting a novel hybrid approach and examining its implications. ABMs offer detailed insights by…

Populations and Evolution · Quantitative Biology 2025-02-06 Inan Bostanci , Tim Conrad

Spatiotemporal predictive learning (ST-PL) is a hotspot with numerous applications, such as object movement and meteorological prediction. It aims at predicting the subsequent frames via observed sequences. However, inherent uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2022-04-13 Zenghao Chai , Zhengzhuo Xu , Yunpeng Bai , Zhihui Lin , Chun Yuan

Partial differential equation (PDE) models for infectious diseases, while less common than their ordinary differential equation (ODE) counterparts, have found successful applications for many years. Such models are typically of…

Populations and Evolution · Quantitative Biology 2026-01-27 Alex Viguerie , Malú Grave , Alvaro L. G. A. Coutinho , Alessandro Veneziani , Thomas J. R. Hughes

Non-terminal events can represent a meaningful change in a patient's life. Thus, better understanding and predicting their occurrence can bring valuable information to individuals. In a context where longitudinal markers could inform these…

Methodology · Statistics 2025-01-16 Juliette Ortholand , Stanley Durrleman , Sophie Tezenas du Montcel

Interstitial lung diseases (ILD) present diagnostic challenges due to their varied manifestations and overlapping imaging features. To address this, we propose a machine learning approach that utilizes CLIP, a multimodal (image and text)…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Cara Van Uden , Christian Bluethgen , Maayane Attias , Malgorzata Polacin , Haiwei Henry Guo , Neha Simha , Rishi Raj , Curtis Langlotz

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

Fitting spatio-temporal models for areal data is crucial in many fields such as cancer epidemiology. However, when data sets are very large, many issues arise. The main objective of this paper is to propose a general procedure to analyze…

Methodology · Statistics 2023-02-06 E. Orozco-Acosta , A. Adin , M. D. Ugarte

Spatio-temporal forecasting plays a crucial role in various sectors such as transportation systems, logistics, and supply chain management. However, existing methods are limited by their ability to handle large, complex datasets. To…

Machine Learning · Computer Science 2024-08-27 Sakhinana Sagar Srinivas , Chidaksh Ravuru , Geethan Sannidhi , Venkataramana Runkana

Raw data on the cumulative number of deaths at a country level generally indicate a spatially variable distribution of the incidence of COVID-19 disease. An important issue is to determine whether this spatial pattern is a consequence of…

Populations and Evolution · Quantitative Biology 2020-07-21 Lionel Roques , Olivier Bonnefon , Virgile Baudrot , Samuel Soubeyrand , Henri Berestycki

This work is motivated by an original dataset of reported mumps cases across nine regions of England, and focuses on the modeling of temporal dynamics and time-varying dependency patterns between the observed time series. The goal is to…

Applications · Statistics 2024-11-13 Hardeep Kaur , Riccardo Rastelli

Spatiotemporal processes have the potential to be one of the most influential factors governing how fisheries targeting sedentary species respond to harvesting. Despite this, management strategy evaluation often fails to account for space…

Populations and Evolution · Quantitative Biology 2021-09-07 Christopher D. Nottingham , Russell B. Millar

Missing data in spatiotemporal systems presents a significant challenge for modern applications, ranging from environmental monitoring to urban traffic management. The integrity of spatiotemporal data often deteriorates due to hardware…

Machine Learning · Computer Science 2025-06-10 Wenying He , Jieling Huang , Junhua Gu , Ji Zhang , Yude Bai

We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a population. The model we consider consists in a system of…

Analysis of PDEs · Mathematics 2020-05-15 Romain Ducasse

The SIR model is one of the most prototypical compartmental models in epidemiology. Generalizing this ordinary differential equation (ODE) framework into a spatially distributed partial differential equation (PDE) model is a considerable…

Quantitative Methods · Quantitative Biology 2024-07-11 Su Yang , Weiqi Chu , Panayotis Kevrekidis

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions,…

Applications · Statistics 2012-11-06 Joseph Dureau , Konstantinos Kalogeropoulos , Marc Baguelin

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

Spatiotemporal imaging has applications in e.g. cardiac diagnostics, surgical guidance, and radiotherapy monitoring, In this paper, we explain the temporal motion by identifying the underlying dynamics, only based on the sequential images.…

Medical Physics · Physics 2024-10-16 Niklas Gunnarsson , Peter Kimstrand , Jens Sjölund , Thomas B. Schön

Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive,…

Machine Learning · Statistics 2024-06-19 Jesse Bowers , Steve Culpepper