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Serology testing can identify past infection by quantifying the immune response of an infected individual providing important public health guidance. Individual immune responses are time-dependent, which is reflected in antibody…

Quantitative Methods · Quantitative Biology 2022-08-04 Prajakta Bedekar , Anthony J. Kearsley , Paul N. Patrone

This study presents a deterministic model to examine how information affects the spread of Typhoid Fever. The models properties, including its stability and basic reproduction number, are analyzed. Simulations show that information can…

Dynamical Systems · Mathematics 2026-01-12 Nyanga Honda Masasila , Rigobert Charles Ngeleja , Odeli John Kigodi

We introduce a new framework for sample-efficient model evaluation that we call active testing. While approaches like active learning reduce the number of labels needed for model training, existing literature largely ignores the cost of…

Machine Learning · Statistics 2021-06-15 Jannik Kossen , Sebastian Farquhar , Yarin Gal , Tom Rainforth

We present and analyze a mathematical model to study the feedback between behavior and epidemic spread in a population that is actively assessing and reacting to risk of infection. In our model, a population dynamically forms an opinion…

Dynamical Systems · Mathematics 2025-03-20 Marcela Ordorica Arango , Anastasia Bizyaeva , Simon A. Levin , Naomi Ehrich Leonard

In many fields, and especially in the medical and social sciences and in recommender systems, data are gathered through clinical studies or targeted surveys. Participants are generally reluctant to respond to all questions in a survey or…

Statistics Theory · Mathematics 2016-11-15 Mohammad Reza Gholami , Magnus Jansson , Erik G. Ström , Ali H. Sayed

In conducting preliminary analysis during an epidemic, data on reported disease cases offer key information in guiding the direction to the in-depth analysis. Models for growth and transmission dynamics are heavily dependent on preliminary…

Quantitative Methods · Quantitative Biology 2021-06-15 Arni S. R. Srinivasa Rao

Accurate estimation of disease prevalence is essential for guiding public health strategies. Imperfect diagnostic tests can cause misclassification errors-false positives (FP) and false negatives (FN)-that may skew estimates if unaddressed.…

There are many sources of data giving information about the number of SARS-CoV-2 infections in the population, but all have major drawbacks, including biases and delayed reporting. For example, the number of confirmed cases largely…

Applications · Statistics 2022-06-08 Nicholas J. Irons , Adrian E. Raftery

In decision making tasks under uncertainty, humans display characteristic biases in seeking, integrating, and acting upon information relevant to the task. Here, we reexamine data from previous carefully designed experiments, collected at…

Artificial Intelligence · Computer Science 2021-02-05 Soumya Chatterjee , Pradeep Shenoy

Models for epidemic spread typically account for variable risk factors but do not account for the correlation between behavior and risk. Here we extend these models to account for such correlations. We find that a positive correlation…

Physics and Society · Physics 2025-08-14 Yoel Sanders

From scientific experiments to online A/B testing, the previously observed data often affects how future experiments are performed, which in turn affects which data will be collected. Such adaptivity introduces complex correlations between…

Machine Learning · Statistics 2018-01-03 Xinkun Nie , Xiaoying Tian , Jonathan Taylor , James Zou

Offline evaluations of recommender systems attempt to estimate users' satisfaction with recommendations using static data from prior user interactions. These evaluations provide researchers and developers with first approximations of the…

Information Retrieval · Computer Science 2020-01-28 Mucun Tian , Michael D. Ekstrand

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

While active learning offers potential cost savings, the actual data efficiency---the reduction in amount of labeled data needed to obtain the same error rate---observed in practice is mixed. This paper poses a basic question: when is…

Machine Learning · Computer Science 2018-06-19 Stephen Mussmann , Percy Liang

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

Statistics Theory · Mathematics 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun

An important phenomenon in high dimensional biological data is the presence of unobserved covariates that can have a significant impact on the measured response. When these factors are also correlated with the covariate(s) of interest (i.e.…

Methodology · Statistics 2018-02-02 Chris McKennan , Dan Nicolae

Survey respondents may give untruthful answers to sensitive questions when asked directly. In recent years, researchers have turned to the list experiment (also known as the item count technique) to overcome this difficulty. While list…

Applications · Statistics 2014-06-03 Peter M. Aronow , Alexander Coppock , Forrest W. Crawford , Donald P. Green

Routinely collected nation-wide registers contain socio-economic and health-related information from a large number of individuals. However, important information on lifestyle, biological and other risk factors is available at most for…

Methodology · Statistics 2024-09-23 Tommi Härkänen , Sangita Kulathinal , Arya Panthalanickal Vijayakumar

The Ising model has become a popular psychometric model for analyzing item response data. The statistical inference of the Ising model is typically carried out via a pseudo-likelihood, as the standard likelihood approach suffers from a high…

Methodology · Statistics 2025-01-08 Siliang Zhang , Yunxiao Chen

During recent years, active learning has evolved into a popular paradigm for utilizing user's feedback to improve accuracy of learning algorithms. Active learning works by selecting the most informative sample among unlabeled data and…

Machine Learning · Computer Science 2016-11-17 Alireza Ghasemi , Hamid R. Rabiee , Mohsen Fadaee , Mohammad T. Manzuri , Mohammad H. Rohban