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Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

Using instruments comprising ordered responses to items are ubiquitous for studying many constructs of interest. However, using such an item response format may lead to items with response categories infrequently endorsed or unendorsed…

Methodology · Statistics 2024-05-02 R. Noah Padgett , Grant B. Morgan , Tim Lomas

Pairwise similarities and dissimilarities between data points might be easier to obtain than fully labeled data in real-world classification problems, e.g., in privacy-aware situations. To handle such pairwise information, an empirical risk…

Machine Learning · Computer Science 2019-04-29 Takuya Shimada , Han Bao , Issei Sato , Masashi Sugiyama

Graphs are commonly used in machine learning to model relationships between instances. Consider the task of predicting the political preferences of users in a social network; to solve this task one should consider, both, the features of…

Machine Learning · Computer Science 2026-01-06 Clemens Damke , Eyke Hüllermeier

Learning with label dependent label noise has been extensively explored in both theory and practice; however, dealing with instance (i.e., feature) and label dependent label noise continues to be a challenging task. The difficulty arises…

Machine Learning · Statistics 2023-06-07 Hyungki Im , Paul Grigas

Assessing the fairness of a decision making system with respect to a protected class, such as gender or race, is challenging when class membership labels are unavailable. Probabilistic models for predicting the protected class based on…

Applications · Statistics 2018-11-28 Jiahao Chen , Nathan Kallus , Xiaojie Mao , Geoffry Svacha , Madeleine Udell

We consider the Domain Adaptation problem, also known as the covariate shift problem, where the distributions that generate the training and test data differ while retaining the same labeling function. This problem occurs across a large…

Machine Learning · Computer Science 2018-12-18 Artidoro Pagnoni , Stefan Gramatovici , Samuel Liu

The study of model bias and variance with respect to decision boundaries is critically important in supervised classification. There is generally a tradeoff between the two, as fine-tuning of the decision boundary of a classification model…

Machine Learning · Computer Science 2020-02-25 Matthew Almeida , Wei Ding , Scott Crouter , Ping Chen

Following the wide-spread adoption of machine learning models in real-world applications, the phenomenon of performativity, i.e. model-dependent shifts in the test distribution, becomes increasingly prevalent. Unfortunately, since models…

Machine Learning · Statistics 2026-01-21 Ivan Kirev , Lyuben Baltadzhiev , Nikola Konstantinov

The likelihood ratio is a crucial quantity for statistical inference in science that enables hypothesis testing, construction of confidence intervals, reweighting of distributions, and more. Many modern scientific applications, however,…

High Energy Physics - Phenomenology · Physics 2024-12-11 Shahzar Rizvi , Mariel Pettee , Benjamin Nachman

We consider the problem of mean estimation under quantization and adversarial corruption. We construct multivariate robust estimators that are optimal up to logarithmic factors in two different settings. The first is a one-bit setting,…

Machine Learning · Statistics 2026-01-13 Pedro Abdalla , Junren Chen

Work in the classification literature has shown that in computing a classification function, one need not know the class membership of all observations in the training set; the unlabeled observations still provide information on the…

Machine Learning · Statistics 2015-10-07 Norman Matloff

Diagnostic testing provides a unique setting for studying and developing tools in classification theory. In such contexts, the concept of prevalence, i.e. the number of individuals with a given condition, is fundamental, both as an inherent…

In real-world applications, one often encounters ambiguously labeled data, where different annotators assign conflicting class labels. Partial-label learning allows training classifiers in this weakly supervised setting, where…

Machine Learning · Computer Science 2025-10-27 Tobias Fuchs , Florian Kalinke , Klemens Böhm

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

Constructing confidence intervals that are simultaneously valid across a class of estimates is central to tasks such as multiple mean estimation, generalization guarantees, and adaptive experimental design. We frame this as an ``error…

Machine Learning · Computer Science 2026-02-05 Sanath Kumar Krishnamurthy , Anna Lyubarskaja , Emma Brunskill , Susan Athey

We expand the scope of the statistical notion of error probability, i.e., how often large deviations are observed in an experiment, in order to make it directly applicable to quantum tomography. We verify that the error probability can…

Quantum Physics · Physics 2011-01-24 Takanori Sugiyama , Peter S. Turner , Mio Murao

This paper considers the problem of design-based inference for the average treatment effect in finely stratified experiments. Here, by "design-based'' we mean that the only source of uncertainty stems from the randomness in treatment…

Econometrics · Economics 2025-05-08 Yuehao Bai , Xun Huang , Joseph P. Romano , Azeem M. Shaikh , Max Tabord-Meehan

Representative risk estimation is fundamental to clinical decision-making. However, risks are often estimated from non-representative epidemiologic studies, which usually underrepresent minorities. "Model-based" methods use population…

Methodology · Statistics 2023-04-12 Lingxiao Wang , Yan Li , Barry I. Graubard , Hormuzd A. Katki

We study the basic task of mean estimation in the presence of mean-shift contamination. In the mean-shift contamination model, an adversary is allowed to replace a small constant fraction of the clean samples by samples drawn from…

Machine Learning · Computer Science 2026-02-27 Ilias Diakonikolas , Giannis Iakovidis , Daniel M. Kane , Sihan Liu