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A robust estimation framework for binary regression models is studied, aiming to extend traditional approaches like logistic regression models. While previous studies largely focused on logistic models, we explore a broader class of models…

Methodology · Statistics 2025-02-24 Kenichi Hayashi , Shinto Eguchi

In statistics and machine learning, logistic regression is a widely-used supervised learning technique primarily employed for binary classification tasks. When the number of observations greatly exceeds the number of predictor variables, we…

Machine Learning · Statistics 2024-04-02 Agniva Chowdhury , Pradeep Ramuhalli

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

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

Methodology · Statistics 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

This manuscript delves into the intersection of genomics and phenotypic prediction, focusing on the statistical innovation required to navigate the complexities introduced by noisy covariates and confounders. The primary emphasis is on the…

Methodology · Statistics 2024-11-15 Upama Paul Chowdhury , Ronit Bhattacharjee , Susmita Das , Abhik Ghosh

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

In genetic studies of complex diseases, the underlying mode of inheritance is often not known. Thus, the most powerful test or other optimal procedure for one model, e.g. recessive, may be quite inefficient if another model, e.g. dominant,…

Statistics Theory · Mathematics 2007-06-13 Gang Zheng , Boris Freidlin , Joseph L. Gastwirth

Logistic regression models are a popular and effective method to predict the probability of categorical response data. However inference for these models can become computationally prohibitive for large datasets. Here we adapt ideas from…

Methodology · Statistics 2020-08-25 Tom Whitaker , Boris Beranger , Scott A. Sisson

Model uncertainty is a central challenge in statistical models for binary outcomes such as logistic regression, arising when it is unclear which predictors should be included in the model. Many methods have been proposed to address this…

Penalized logistic regression is extremely useful for binary classification with large number of covariates (higher than the sample size), having several real life applications, including genomic disease classification. However, the…

Methodology · Statistics 2023-04-10 Ayanendranath Basu , Abhik Ghosh , María Jaenada , Leandro Pardo

In this report a systematic approach is used to determine the approximate genetic network and robust dependencies underlying differentiation. The data considered is in the form of a binary matrix and represent the expression of the nine…

Molecular Networks · Quantitative Biology 2007-05-23 Radhakrishnan Nagarajan , Jane E. Aubin , Charlotte A. Peterson

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

Optimization and Control · Mathematics 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

When searching for gene pathways leading to specific disease outcomes, additional information on gene characteristics is often available that may facilitate to differentiate genes related to the disease from irrelevant background when…

Machine Learning · Statistics 2018-09-10 Yunpeng Zhao , Qing Pan , Chengan Du

Logistic regression is the most commonly used method for constructing predictive models for binary responses. One significant drawback to this approach, however, is that the asymptotes of the logistic response function are fixed at 0 and 1,…

Methodology · Statistics 2026-02-09 Anthony Almudevar , Jacob Almudevar

This study introduces an outlier-robust model for analyzing hierarchically structured bounded count data within a Bayesian framework, utilizing a logistic regression approach implemented in JAGS. Our model incorporates a t-distributed…

Methodology · Statistics 2026-02-17 Divan A. Burger , Sean van der Merwe , Emmanuel Lesaffre

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

The robust Poisson method is becoming increasingly popular when estimating the association of exposures with a binary outcome. Unlike the logistic regression model, the robust Poisson method yields results that can be interpreted as risk or…

Methodology · Statistics 2022-09-14 Denis Talbot , Miceline Mésidor , Yohann Chiu , Marc Simard , Caroline Sirois
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