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In supervised learning, the estimation of prediction error on unlabeled test data is an important task. Existing methods are usually built on the assumption that the training and test data are sampled from the same distribution, which is…

Methodology · Statistics 2022-09-30 Hui Xu , Robert Tibshirani

Partial multi-label learning and complementary multi-label learning are two popular weakly supervised multi-label classification paradigms that aim to alleviate the high annotation costs of collecting precisely annotated multi-label data.…

Machine Learning · Computer Science 2026-02-26 Wei Wang , Tianhao Ma , Ming-Kun Xie , Gang Niu , Masashi Sugiyama

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

In certain privacy-sensitive scenarios within fields such as clinical trial simulations, federated learning, and distributed learning, researchers often face the challenge of estimating correlations between variables without access to…

Methodology · Statistics 2025-08-05 Longwen Shang , Min Tsao , Xuekui Zhang

The partial copula provides a method for describing the dependence between two random variables $X$ and $Y$ conditional on a third random vector $Z$ in terms of nonparametric residuals $U_1$ and $U_2$. This paper develops a nonparametric…

Statistics Theory · Mathematics 2021-04-30 Lasse Petersen , Niels Richard Hansen

The validity OF a causal model can be tested ONLY IF the model imposes constraints ON the probability distribution that governs the generated data. IN the presence OF unmeasured variables, causal models may impose two types OF constraints :…

Artificial Intelligence · Computer Science 2013-01-07 Jin Tian , Judea Pearl

Binary logit (BNL) and multinomial logit (MNL) models are the two most widely used discrete choice models for travel behavior modeling and prediction. However, in many scenarios, the collected data for those models are subject to…

Optimization and Control · Mathematics 2025-06-02 Baichuan Mo , Yunhan Zheng , Xiaotong Guo , Ruoyun Ma , Jinhua Zhao

We address the problem of \emph{instance label stability} in multiple instance learning (MIL) classifiers. These classifiers are trained only on globally annotated images (bags), but often can provide fine-grained annotations for image…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Veronika Cheplygina , Lauge Sørensen , David M. J. Tax , Marleen de Bruijne , Marco Loog

Most pseudo-label selection strategies in semi-supervised learning rely on fixed confidence thresholds, implicitly assuming that prediction confidence reliably indicates correctness. In practice, deep networks are often overconfident:…

Machine Learning · Computer Science 2026-02-27 Jinshi Liu , Pan Liu , Lei He

We demonstrate how the uncertainty of parameter point estimates can be assessed in a maximum likelihood framework in order to prevent overfitting and erroneous detection of time-inhomogeneity. The class of models we consider are regular…

Computation · Statistics 2012-05-23 Jakob Stöber , Ulf Schepsmeier

The accurate labeling of datasets is often both costly and time-consuming. Given an unlabeled dataset, programmatic weak supervision obtains probabilistic predictions for the labels by leveraging multiple weak labeling functions (LFs) that…

Machine Learning · Statistics 2025-08-07 Verónica Álvarez , Santiago Mazuelas , Steven An , Sanjoy Dasgupta

The problem of measuring conditional dependence between two random phenomena arises when a third one (a confounder) has a potential influence on the amount of information between them. A typical issue in this challenging problem is the…

Machine Learning · Statistics 2025-03-12 Ferran de Cabrera , Marc Vilà-Insa , Jaume Riba

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

Computation · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

The statistical analysis of univariate quantiles is a well developed research topic. However, there is a need for research in multivariate quantiles. We construct bivariate (conditional) quantiles using the level curves of vine copula based…

Methodology · Statistics 2023-07-04 Marija Tepegjozova , Claudia Czado

Accounting for dependence among high-dimensional variables in omics data analysis is critical to obtain accurate and reliable statistical inference. Although latent, omics variables often exhibit structured correlation/co-expression…

Methodology · Statistics 2025-10-16 Hwiyoung Lee , Yezhi Pan , Shuo Chen

The primary challenge of multi-label active learning, differing it from multi-class active learning, lies in assessing the informativeness of an indefinite number of labels while also accounting for the inherited label correlation. Existing…

Machine Learning · Computer Science 2025-09-05 Yuanyuan Qi , Jueqing Lu , Xiaohao Yang , Joanne Enticott , Lan Du

Scholars frequently use covariate balance tests to test the validity of natural experiments and related designs. Unfortunately, when measured covariates are unrelated to potential outcomes, balance is uninformative about key identification…

Methodology · Statistics 2025-10-15 Clara Bicalho , Adam Bouyamourn , Thad Dunning

Many inference techniques for multivariate data analysis assume that the rows of the data matrix are realizations of independent and identically distributed random vectors. Such an assumption will be met, for example, if the rows of the…

Statistics Theory · Mathematics 2015-12-31 Peter D. Hoff

In the context of an imperfect gold standard, latent class modelling can be used to estimate accuracy of multiple medical tests. However, the conditional independence (CI) assumption is rarely thought to be clinically valid. Two models…

Methodology · Statistics 2025-09-24 Enzo Cerullo , Sean Pinkney , Alex J. Sutton , Tim Lucas , Nicola J. Cooper , Hayley E. Jones

Motivated by applications in biological science, we propose a novel test to assess the conditional mean dependence of a response variable on a large number of covariates. Our procedure is built on the martingale difference divergence…

Statistics Theory · Mathematics 2017-01-31 Xianyang Zhang , Shun Yao , Xiaofeng Shao
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