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Accurate and transparent prediction of cancer survival times on the level of individual patients can inform and improve patient care and treatment practices. In this paper, we design a model that concurrently learns to accurately predict…

Machine Learning · Computer Science 2018-01-31 Maruan Al-Shedivat , Avinava Dubey , Eric P. Xing

In the absence of data from a randomized trial, researchers often aim to use observational data to draw causal inference about the effect of a treatment on a time-to-event outcome. In this context, interest often focuses on the…

Methodology · Statistics 2021-06-15 Ted Westling , Alex Luedtke , Peter Gilbert , Marco Carone

Controlling infectious diseases is a major health priority because they can spread and infect humans, thus evolving into epidemics or pandemics. Therefore, early detection of infectious diseases is a significant need, and many researchers…

Machine Learning · Computer Science 2022-06-16 Eman Yahia Alqaissi , Fahd Saleh Alotaibi , Muhammad Sher Ramzan

In this paper we first introduce the general stochastic epidemic model for the spread of infectious diseases. Then we give methods for inferring model parameters such as the basic reproduction number $R_0$ and vaccination coverage $v_c$…

Methodology · Statistics 2014-11-14 Tom Britton , Federica Giardina

Most conventional risk analysis methods rely on a single best estimate of exposure per person which does not allow for adjustment for exposure-related uncertainty. Here, we propose a Bayesian model averaging method to properly quantify the…

Applications · Statistics 2020-04-07 Deukwoo Kwon , F. Owen Hoffman , Brian E. Moroz , Steven L. Simon

In general, the rates of infection and removal (whether through recovery or death) are nonlinear functions of the number of infected and susceptible individuals. One of the simplest models for the spread of infectious diseases is the SIR…

Populations and Evolution · Quantitative Biology 2026-05-11 Seong Jun Park , M. Y. Choi

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

We present a new modelling approach for longitudinal count data that is motivated by the increasing availability of longitudinal RNA-sequencing experiments. The distribution of RNA-seq counts typically exhibits overdispersion,…

Methodology · Statistics 2020-08-27 Mirko Signorelli , Pietro Spitali , Roula Tsonaka

We propose a framework for Bayesian non-parametric estimation of the rate at which new infections occur assuming that the epidemic is partially observed. The developed methodology relies on modelling the rate at which new infections occur…

Methodology · Statistics 2014-12-16 Edward S. Knock , Theodore Kypraios

Many causal models of interest in epidemiology involve longitudinal exposures, confounders and mediators. However, repeated measurements are not always available or used in practice, leading analysts to overlook the time-varying nature of…

Methodology · Statistics 2023-02-21 Lola Etievant , Vivian Viallon

In the case of airborne diseases, pathogen copies are transmitted by droplets of respiratory tract fluid that are exhaled by the infectious and, after partial or full drying, inhaled as aerosols by the susceptible. The risk of infection in…

Quantitative Methods · Quantitative Biology 2021-06-09 Freja Nordsiek , Eberhard Bodenschatz , Gholamhossein Bagheri

A novel mixture cure frailty model is introduced for handling censored survival data. Mixture cure models are preferable when the existence of a cured fraction among patients can be assumed. However, such models are heavily underexplored:…

Methodology · Statistics 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

Many disease models focus on characterizing the underlying transmission mechanism but make simple, possibly naive assumptions about how infections are reported. In this note, we use a simple deterministic Susceptible-Infected-Removed (SIR)…

Populations and Evolution · Quantitative Biology 2019-11-28 Sang Woo Park , Benjamin M. Bolker

Multiple lines of evidence strongly suggest that infection hotspots, where a single individual infects many others, play a key role in the transmission dynamics of COVID-19. However, most of the existing epidemiological models fail to…

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

We consider event-driven clinical trials, where the analysis is performed once a pre-determined number of clinical events has been reached. For example, these events could be progression in oncology or a stroke in cardiovascular trials. At…

Methodology · Statistics 2021-08-23 Vladimir Anisimov , Stephen Gormley , Rosalind Baverstock , Cynthia Kineza

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19,…

Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulations with additional terms accounting for spatial dynamics,…

Populations and Evolution · Quantitative Biology 2025-04-29 Pierluigi Colli , Gabriela Marinoschi , Elisabetta Rocca , Alex Viguerie

Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

Ordinary differential equation (ODE) models used in mathematical epidemiology assume explicitly or implicitly large populations. For the study of infections in a hospital this is an extremely restrictive assumption as typically a hospital…

Populations and Evolution · Quantitative Biology 2023-08-21 Fabio A. C. C. Chalub , Antonio Gómez-Corral , Martín López-García , Fátima Palacios-Rodríguez