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Shuffled regression concerns settings in which covariates and responses are observed without their correct pairing. In dependent-data problems, a second form of missing correspondence can arise when responses are also detached from the…

Statistics Theory · Mathematics 2026-03-23 Anik Burman , Sayantan Choudhury , Debangan Dey

A solution to control for nonresponse bias consists of multiplying the design weights of respondents by the inverse of estimated response probabilities to compensate for the nonrespondents. Maximum likelihood and calibration are two…

Methodology · Statistics 2023-10-27 Caren Hasler

In epidemiology, obtaining accurate individual exposure measurements can be costly and challenging. Thus, these measurements are often subject to error. Regression calibration with a validation study is widely employed as a study design and…

Methodology · Statistics 2026-02-24 Zexiang Li , Donna Spiegelman , Molin Wang , Zuoheng Wang , Xin Zhou

This paper studies the problem of statistical inference for genetic relatedness between binary traits based on individual-level genome-wide association data. Specifically, under the high-dimensional logistic regression models, we define…

Methodology · Statistics 2022-10-06 Rong Ma , Zijian Guo , T. Tony Cai , Hongzhe Li

Let Y be a binary random variable and X a scalar. Let $\hat\beta$ be the maximum likelihood estimate of the slope in a logistic regression of Y on X with intercept. Further let $\bar x_0$ and $\bar x_1$ be the average of sample x values for…

Statistics Theory · Mathematics 2014-02-05 Art B. Owen , Paul A. Roediger

We propose a regression model for count data when the classical generalized linear model approach is too rigid due to a high outcome of zero counts and a nonlinear influence of continuous covariates. Zero-Inflation is applied to take into…

Methodology · Statistics 2013-04-12 T. Opitz , P. Tramini , N. Molinari

Detecting associations between microbial compositions and sample characteristics is one of the most important tasks in microbiome studies. Most of the existing methods apply univariate models to single microbial species separately, with…

Log-linear models are a classical tool for the analysis of contingency tables. In particular, the subclass of graphical log-linear models provides a general framework for modelling conditional independences. However, with the exception of…

Statistics Theory · Mathematics 2010-03-04 Mathias Drton , Thomas S. Richardson

Models such as the zero-inflated and zero-altered Poisson and zero-truncated binomial are well-established in modern regression analysis. We propose a super model that jointly and maximally unifies alteration, inflation, truncation and…

Methodology · Statistics 2022-08-30 Thomas W. Yee , Chenchen Ma

One of the most common machine learning setups is logistic regression. In many classification models, including neural networks, the final prediction is obtained by applying a logistic link function to a linear score. In binary logistic…

Machine Learning · Statistics 2026-03-24 Avrajit Ghosh , Bin Yu , Manfred Warmuth , Peter Bartlett

A frequent challenge encountered with compositional ecological data is how to interpret and model data with a high proportion of zeros and $N$'s. Such data frequently occur in ecological applications where counts of species are collected…

Methodology · Statistics 2025-08-04 James Sweeney , John Haslett , Dipankar Bandyopadhyay , Michael Fop , Andrew C. Parnell

Model collapse occurs when generative models degrade after repeatedly training on their own synthetic outputs. We study this effect in overparameterized linear regression in a setting where each iteration mixes fresh real labels with…

Machine Learning · Statistics 2026-02-13 Anvit Garg , Sohom Bhattacharya , Pragya Sur

Logistic regression is a common classification method in supervised learning. Surprisingly, there are very few solutions for performing logistic regression with missing values in the covariates. We suggest a complete approach based on a…

Methodology · Statistics 2019-08-09 Wei Jiang , Julie Josse , Marc Lavielle , TraumaBase Group

Multi-view learning is widely applied to real-life datasets, such as multiple omics biological data, but it often suffers from both missing views and missing labels. Prior probabilistic approaches addressed the missing view problem by using…

Machine Learning · Computer Science 2025-08-18 Yiyang Shen , Weiran Wang

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

Methodology · Statistics 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

Replicated weighted networks often exhibit many structural zeros alongside heterogeneous non-zero edge strengths. In structural connectomics, this zero-inflation coincides with subjects expressing overlapping, rather than discrete,…

Methodology · Statistics 2026-05-14 Hsin-Hsiung Huang , Yuh-Haur Chen , Teng Zhang

Label distribution learning (LDL) is a novel paradigm that describe the samples by label distribution of a sample. However, acquiring LDL dataset is costly and time-consuming, which leads to the birth of incomplete label distribution…

Machine Learning · Computer Science 2025-11-18 Jiecheng Jiang , Jiawei Tang , Jiahao Jiang , Hui Liu , Junhui Hou , Yuheng Jia

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

Zero-shot learning provides models for targets for which instances are not available, commonly called unobserved targets. The availability of target side information becomes crucial in this context in order to properly induce models for…

Machine Learning · Computer Science 2024-02-05 Miriam Fdez-Díaz , Elena Montañés , José Ramón Quevedo

Multi-task learning has shown to significantly enhance the performance of multiple related learning tasks in a variety of situations. We present the fused logistic regression, a sparse multi-task learning approach for binary classification.…

Machine Learning · Statistics 2013-12-31 Venelin Mitov , Manfred Claassen
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