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A new method called the Survival Beran-based Neural Importance Model (SurvBeNIM) is proposed. It aims to explain predictions of machine learning survival models, which are in the form of survival or cumulative hazard functions. The main…

Machine Learning · Computer Science 2023-12-12 Lev V. Utkin , Danila Y. Eremenko , Andrei V. Konstantinov

This work presents the first large-scale neutral benchmark experiment focused on single-event, right-censored, low-dimensional survival data. Benchmark experiments are essential in methodological research to scientifically compare new and…

Machine Learning · Statistics 2026-04-24 Lukas Burk , John Zobolas , Bernd Bischl , Andreas Bender , Marvin N. Wright , Raphael Sonabend

In this paper, we evolve from sparsity, a key concept in robust statistics, to concepts and theoretical results of what we call the mathematics of resilience, at the interface between category theory, the theory of dynamical systems,…

Information Theory · Computer Science 2020-12-14 Dominique Pastor , Erwan Beurier , Andrée C. Ehresmann , Roger Waldeck

When data are right-censored, i.e. some outcomes are missing due to a limited period of observation, survival analysis can compute the "time to event". Multiple classes of outcomes lead to a classification variant: predicting the most…

Artificial Intelligence · Computer Science 2024-06-21 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

In the era of precision medicine, time-to-event outcomes such as time to death or progression are routinely collected, along with high-throughput covariates. These high-dimensional data defy classical survival regression models, which are…

Methodology · Statistics 2025-07-15 Stephen Salerno , Yi Li

This document is the Part IV of the book 'Stochastic Epidemic Models with Inference' edited by Tom Britton and Etienne Pardoux. It is written by Catherine Lar\'edo, with the contribution of Viet Chi Tran for the Chapter 4. Epidemic data…

Probability · Mathematics 2020-04-17 Catherine Larédo , Viet Chi Tran

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

Populations and Evolution · Quantitative Biology 2019-08-16 Tom Britton

We propose a general Bayesian approach to modeling epidemics such as COVID-19. The approach grew out of specific analyses conducted during the pandemic, in particular an analysis concerning the effects of non-pharmaceutical interventions…

Applications · Statistics 2021-01-01 Samir Bhatt , Neil Ferguson , Seth Flaxman , Axel Gandy , Swapnil Mishra , James A. Scott

This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic model properties (relying on a large community) are presented. The purpose of modelling is illustrated by…

Probability · Mathematics 2009-11-05 Tom Britton

Causal inference with time-to-event outcomes is fundamental in various scientific studies. In a static setup with fitted propensity scores, weighted Kaplan-Meier estimation for survival probabilities and weighted Breslow-Peto estimation for…

Methodology · Statistics 2026-05-18 Wenfu Xu , Yi Zhang , Tobias Gerhard , Zhiqiang Tan

This paper is about how we study statistical methods. As an example, it uses the random regressions model, in which the intercept and slope of cluster-specific regression lines are modeled as a bivariate random effect. Maximizing this…

Other Statistics · Statistics 2019-05-22 James S. Hodges

This paper proposes a new statistical test to assess the dominance of survival functions in the presence of right-censored data. Traditional methods, such as the log-rank test, are inadequate for determining whether one survival function…

Methodology · Statistics 2025-04-10 Félix Belzunce , Carolina Martínez-Riquelme , Jaime Valenciano

This paper extends the canonical model of epidemiology, the SIRD model, to allow for time-varying parameters for real-time measurement and prediction of the trajectory of the Covid-19 pandemic. Time variation in model parameters is captured…

Econometrics · Economics 2023-02-01 Cem Cakmakli , Yasin Simsek

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

The death toll for Covid-19 may be reduced by dividing the population into two classes, the vulnerable and the fit, with different lockdown regimes. Instead of one reproduction number there now are four parameters. These make it possible to…

Populations and Evolution · Quantitative Biology 2020-10-05 Guus Balkema

We introduce a statistical procedure that integrates survival data from multiple biomedical studies, to improve the accuracy of predictions of survival or other events, based on individual clinical and genomic profiles, compared to models…

Applications · Statistics 2020-07-20 Steffen Ventz , Rahul Mazumder , Lorenzo Trippa

In the post-pandemic era of COVID-19, hospitalization remains a primary public health concern and wastewater surveillance has become an important tool for monitoring its dynamics at the level of community. However, there is usually no…

Methodology · Statistics 2026-01-14 K. Ken Peng , Charmaine B. Dean , Robert Delatolla , X. Joan Hu , Elizabeth Renouf

In survival studies it is important to record the values of key longitudinal covariates until the occurrence of event of a subject. For this reason, it is essential to study the association between longitudinal and time-to-event outcomes…

Methodology · Statistics 2021-06-09 Khandoker Akib Mohammad , Yuichi Hirose , Yuan Yao , Budhi Surya

A typical random effects meta-analysis of odds-ratios assumes binomially distributed numbers of events in a treatment and control group and requires the proportion of deaths to be extracted from published papers. This data is often not…

Methodology · Statistics 2014-10-13 Shemra Rizzo , Robert E. Weiss

We present "interoperability" as a guiding framework for statistical modelling to assist policy makers asking multiple questions using diverse datasets in the face of an evolving pandemic response. Interoperability provides an important set…