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L1-norm regularized logistic regression models are widely used for analyzing data with binary response. In those analyses, fusing regression coefficients is useful for detecting groups of variables. This paper proposes a binomial logistic…

Methodology · Statistics 2023-12-15 Yuko Kakikawa , Shuichi Kawano

Prior-weighted logistic regression has become a standard tool for calibration in speaker recognition. Logistic regression is the optimization of the expected value of the logarithmic scoring rule. We generalize this via a parametric family…

Machine Learning · Statistics 2013-07-31 Niko Brümmer , George Doddington

In many real-world prediction tasks, class labels contain information about the relative order between labels that are not captured by commonly used loss functions such as multicategory cross-entropy. Recently, the preference for unimodal…

Machine Learning · Computer Science 2025-03-21 Jaime S. Cardoso , Ricardo Cruz , Tomé Albuquerque

Logistic regression is a fundamental and widely used statistical method for modeling binary outcomes based on covariates. However, the presence of missing data, particularly in settings involving hybrid covariates (a mix of discrete and…

Methodology · Statistics 2025-06-05 Mohamed Cherifi , Xujia Zhu , Mohammed Nabil El Korso , Ammar Mesloub

Positive and unlabelled learning is an important problem which arises naturally in many applications. The significant limitation of almost all existing methods lies in assuming that the propensity score function is constant (SCAR…

Machine Learning · Statistics 2023-11-01 Konrad Furmańczyk , Jan Mielniczuk , Wojciech Rejchel , Paweł Teisseyre

Multi-dimensional classification (MDC) can be employed in a range of applications where one needs to predict multiple class variables for each given instance. Many existing MDC methods suffer from at least one of inaccuracy, scalability,…

Machine Learning · Computer Science 2023-11-28 Vu-Linh Nguyen , Yang Yang , Cassio de Campos

Logistic linear mixed model is widely used in experimental designs and genetic analysis with binary traits. Motivated by modern applications, we consider the case with many groups of random effects and each group corresponds to a variance…

Computation · Statistics 2017-11-15 Liuyi Hu , Wenbin Lu , Jin Zhou , Hua Zhou

Many modern applications deal with multi-label data, such as functional categorizations of genes, image labeling and text categorization. Classification of such data with a large number of labels and latent dependencies among them is a…

Machine Learning · Computer Science 2018-04-05 Zahra Ahmadi , Stefan Kramer

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by…

Methodology · Statistics 2016-06-30 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

Methodology · Statistics 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

Machine learning models and libraries can train datasets of different sizes and perform prediction and classification operations, but machine learning models and libraries cause slow and long training times on large datasets. This article…

Machine Learning · Computer Science 2025-09-17 Halil Hüseyin Çalışkan , Talha Koruk

Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Firth-type logistic regression has become a standard approach for the analysis of binary outcomes with small samples. Whereas it reduces the bias in maximum likelihood estimates of coefficients, bias towards 1/2 is introduced in the…

Methodology · Statistics 2021-01-20 Rainer Puhr , Georg Heinze , Mariana Nold , Lara Lusa , Angelika Geroldinger

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

Methodology · Statistics 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

Scaling multinomial logistic regression to datasets with very large number of data points and classes is challenging. This is primarily because one needs to compute the log-partition function on every data point. This makes distributing the…

Machine Learning · Computer Science 2018-08-07 Parameswaran Raman , Sriram Srinivasan , Shin Matsushima , Xinhua Zhang , Hyokun Yun , S. V. N. Vishwanathan

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by…

Methodology · Statistics 2017-02-23 Jeffrey J. Gory , Peter F. Craigmile , Steven N. MacEachern

Kernel logistic regression (KLR) is a widely used supervised learning method for binary and multi-class classification, which provides estimates of the conditional probabilities of class membership for the data points. Unlike other kernel…

Machine Learning · Computer Science 2025-12-23 Antonio Consolo , Andrea Manno , Edoardo Amaldi

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

Machine Learning · Statistics 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

Mendelian randomization is the use of genetic variants to assess the existence of a causal relationship between a risk factor and an outcome of interest. Here, we focus on two-sample summary-data Mendelian randomization analyses with many…

Quantitative Methods · Quantitative Biology 2022-09-16 Apostolos Gkatzionis , Stephen Burgess , Paul J. Newcombe
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