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This paper provides a comprehensive analysis of variational inference in latent variable models for survival analysis, emphasizing the distinctive challenges associated with applying variational methods to survival data. We identify a…

Machine Learning · Computer Science 2025-06-05 Chuanhui Liu , Xiao Wang

We propose a new method to estimate the time-varying effective (or instantaneous) reproduction number of the novel coronavirus disease (COVID-19). The method is based on a discrete-time stochastic augmented compartmental model that…

Quantitative Methods · Quantitative Biology 2022-04-27 A. Hasan , H. Susanto , V. R. Tjahjono , R. Kusdiantara , E. R. M. Putri , P. Hadisoemarto , N. Nuraini

With unprecedented speed, 192,248,678 doses of Covid-19 vaccines were administered in Germany by July 11, 2023 to combat the pandemic. Limitations of clinical trials imply that the safety profile of these vaccines is not fully known before…

Predicting an individual's risk of experiencing a future clinical outcome is a statistical task with important consequences for both practicing clinicians and public health experts. Modern observational databases such as electronic health…

We propose a novel approach to estimate the Cox model with temporal covariates. Our new approach treats the temporal covariates as arising from a longitudinal process which is modeled jointly with the event time. Different from the…

Methodology · Statistics 2018-02-05 Xiaoqi Zhang , Xiaobing Zhao , Yanqiao Zheng

COVID-19 vaccines have proven to be effective against SARS-CoV-2 infection. However, the dynamics of vaccine-induced immunological memory development and neutralizing antibodies generation are not fully understood, limiting vaccine…

Quantitative Methods · Quantitative Biology 2022-04-06 Xin Gao , Jianwei Li , Dianjie Li

In order to meet regulatory approval, pharmaceutical companies often must demonstrate that new vaccines reduce the total risk of a post-infection outcome like transmission, symptomatic disease, severe illness, or death in randomized,…

Methodology · Statistics 2024-09-23 Rob Trangucci , Yang Chen , Jon Zelner

This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

Optimization and Control · Mathematics 2020-08-20 Mauricio C. de Oliveira

One long-standing question in epidemiological research is how best to allocate limited amounts of vaccine or similar preventative measures in order to minimize the severity of an epidemic. Much of the literature on the problem of vaccine…

Social and Information Networks · Computer Science 2014-12-02 Krzysztof Drewniak , Joseph Helsing , Armin R. Mikler

Developing robust, quantitative methods to optimize resource allocations in response to epidemics has the potential to save lives and minimize health care costs. In this paper, we develop and apply a computationally efficient algorithm that…

Quantitative Methods · Quantitative Biology 2015-06-22 Edwin C. Yuan , David L. Alderson , Sean Stromberg , Jean M. Carlson

The vaccine adverse event reporting system (VAERS) is a vital resource for post-licensure vaccine safety monitoring and has played a key role in assessing the safety of COVID-19 vaccines. However it is difficult to properly identify rare…

Methodology · Statistics 2023-06-06 Ali Turfah , Xiaoquan Wen , Lili Zhao

We present a method that uses ensemble learning to combine clinical and web-mined time-series data in order to predict future vaccination uptake. The clinical data is official vaccination registries, and the web data is query frequencies…

Information Retrieval · Computer Science 2016-10-02 Niels Dalum Hansen , Christina Lioma , Kåre Mølbak

Time-to-event endpoints are frequently used as outcomes in oncology and other disease areas where the outcome of interest may not be observed within a predetermined period. Although many analytical methods address the challenges of…

Methodology · Statistics 2026-04-14 Chen-Yen Lin , Susan Halabi , Taehwa Choi

This research introduces a new approach utilizing optimal control theory (OCT) to assess the Social Optimum (SO) of a vaccination game, navigating the intricate considerations of cost, availability, and distribution policies. By integrating…

Optimization and Control · Mathematics 2025-01-14 Md. Mamun-Ur-Rashid Khan , Jun Tanimoto

Vaccines have proven effective in mitigating the threat of severe infections and deaths during outbreaks of infectious diseases. However, vaccine hesitancy (VH) complicates disease spread prediction and healthcare resource assessment across…

Optimization and Control · Mathematics 2024-05-10 Hieu Bui , Sandra Eksioglu , Ruben Proano , Haoming Shen

A full Bayesian approach to the estimation of Vaccine Efficacy is presented, which is an improvement over the currently used exact method conditional on the total number of cases. As an example, we reconsider the statistical sections of the…

Methodology · Statistics 2021-03-09 Mauro Gasparini

The Cox regression model and its associated hazard ratio (HR) are frequently used for summarizing the effect of treatments on time to event outcomes. However, the HR's interpretation strongly depends on the assumed underlying survival…

Methodology · Statistics 2021-08-10 Pablo Martinez-Camblor , Todd A. MacKenzie , A. James O'Malley

Variational inference is an alternative estimation technique for Bayesian models. Recent work shows that variational methods provide consistent estimation via efficient, deterministic algorithms. Other tools, such as model selection using…

Methodology · Statistics 2023-08-01 Mark J. Meyer , Selina Carter , Elizabeth J. Malloy

Survival analysis, or time-to-event analysis, is an important and widespread problem in healthcare research. Medical research has traditionally relied on Cox models for survival analysis, due to their simplicity and interpretability. Cox…

Machine Learning · Computer Science 2023-10-25 Mike Van Ness , Tomas Bosschieter , Natasha Din , Andrew Ambrosy , Alexander Sandhu , Madeleine Udell

The approach of N. Gay for estimating the coverage of a multivalent vaccine from antibody prevalence data in certain age cohorts is improved by using computer aided elimination theory of variables. Hereby, Gay's usage of numerical…

Probability · Mathematics 2007-05-23 D. Altmann , K. Altmann