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Bayesian methods have proven themselves to be successful across a wide range of scientific problems and have many well-documented advantages over competing methods. However, these methods run into difficulties for two major and prevalent…

Methodology · Statistics 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

Supporting model interpretability for complex phenomena where annotators can legitimately disagree, such as emotion recognition, is a challenging machine learning task. In this work, we show that explicitly quantifying the uncertainty in…

Machine Learning · Computer Science 2019-10-08 Asma Ghandeharioun , Brian Eoff , Brendan Jou , Rosalind W. Picard

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

Statistics Theory · Mathematics 2007-10-22 Odile Pons

In the contemporary era, the importance of information is undisputed, but there has never been a common understanding of information, nor a unanimous conclusion to the researches on information metrics. Based on the previous studies, this…

Information Theory · Computer Science 2014-04-07 Xu Jianfeng , Tang Jun , Ma Xuefeng , Xu Bin , Shen Yanli , Qiao Yongjie

The many-normal-means problem is a classic example that motivates the development of many important inferential procedures in the history of statistics. In this short note, we consider a further special case of the problem, which involves…

Methodology · Statistics 2025-08-19 Yang Liu , Jonathan P. Williams

In reality, data often exhibit associations with multiple labels, making multi-label learning (MLL) become a prominent research topic. The last two decades have witnessed the success of MLL, which is indispensable from complete and accurate…

Machine Learning · Computer Science 2024-06-11 Xiang Li , Jiexi Liu , Xinrui Wang , Songcan Chen

How to learn a good predictor on data with missing values? Most efforts focus on first imputing as well as possible and second learning on the completed data to predict the outcome. Yet, this widespread practice has no theoretical…

Machine Learning · Statistics 2021-12-01 Marine Le Morvan , Julie Josse , Erwan Scornet , Gaël Varoquaux

Time series in real-world applications often have missing observations, making typical analytical methods unsuitable. One method for dealing with missing data is the concept of amplitude modulation. While this principle works with any data,…

Methodology · Statistics 2024-04-19 Simon Nik

Unobserved confounding arises when an unmeasured feature influences both the treatment and the outcome, leading to biased causal effect estimates. This issue undermines observational studies in fields like economics, medicine, ecology or…

Machine Learning · Computer Science 2025-09-09 Alexander Merkov , David Rohde , Alexandre Gilotte , Benjamin Heymann

Missing data is a crucial issue when applying machine learning algorithms to real-world datasets. Starting from the simple assumption that two batches extracted randomly from the same dataset should share the same distribution, we leverage…

Machine Learning · Statistics 2020-07-02 Boris Muzellec , Julie Josse , Claire Boyer , Marco Cuturi

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

Two-class classification problems are often characterized by an imbalance between the number of majority and minority datapoints resulting in poor classification of the minority class in particular. Traditional approaches, such as…

Machine Learning · Computer Science 2025-07-11 Karen Medlin , Sven Leyffer , Krishnan Raghavan

Data collected in clinical trials are often composed of multiple types of variables. For example, laboratory measurements and vital signs are longitudinal data of continuous or categorical variables, adverse events may be recurrent events,…

Methodology · Statistics 2023-01-12 Tuo Wang , Rachel Zilinskas , Ying Li , Yongming Qu

This paper describes three methods for carrying out non-asymptotic inference on partially identified parameters that are solutions to a class of optimization problems. Applications in which the optimization problems arise include estimation…

Methodology · Statistics 2022-12-02 Joel L. Horowitz , Sokbae Lee

Identifying and disentangling sources of predictive uncertainty is essential for trustworthy supervised learning. We argue that widely used second-order methods that disentangle aleatoric and epistemic uncertainty are fundamentally…

Machine Learning · Computer Science 2026-02-09 Sebastián Jiménez , Mira Jürgens , Willem Waegeman

This is yet another version of the course notes in chao-dyn/9407003. Here we change the universal Turing machine that is used to measure program-size complexity so that the constants in our information-theoretic incompleteness theorems are…

chao-dyn · Physics 2008-02-03 G. J. Chaitin

Missing data has the potential to affect analyses conducted in all fields of scientific study, including healthcare, economics, and the social sciences. Several approaches to unbiased inference in the presence of non-ignorable missingness…

Methodology · Statistics 2020-09-01 Razieh Nabi , Rohit Bhattacharya , Ilya Shpitser

Missing data is a pervasive problem in epidemiology, with multiple imputation (MI) a commonly used analysis method. MI is valid when data are missing at random (MAR). However, definitions of MAR with multiple incomplete variables are not…

Methodology · Statistics 2025-04-14 Paul Madley-Dowd , Rachael A. Hughes , Maya B. Mathur , Jon Heron , Kate Tilling

Missing data is a pervasive issue in statistical analyses, affecting the reliability and validity of research across diverse scientific disciplines. Failure to adequately address missing data can lead to biased estimates and consequently…

Methodology · Statistics 2025-05-06 Asmaa Ahmad , Eric J Rose , Michael Roy , Edward Valachovic
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