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We present a comprehensive study of graphical log-linear models for contingency tables. High dimensional contingency tables arise in many areas such as computational biology, collection of survey and census data and others. Analysis of…

Methodology · Statistics 2016-03-15 Niharika Gauraha

The sparse group lasso is a high-dimensional regression technique that is useful for problems whose predictors have a naturally grouped structure and where sparsity is encouraged at both the group and individual predictor level. In this…

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

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

Methodology · Statistics 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

Contingency table analysis routinely relies on log linear models, with latent structure analysis providing a common alternative. Latent structure models lead to a low rank tensor factorization of the probability mass function for…

Statistics Theory · Mathematics 2014-04-03 James E. Johndrow , Anirban Battacharya , David B. Dunson

We consider a standard federated learning (FL) architecture where a group of clients periodically coordinate with a central server to train a statistical model. We develop a general algorithmic framework called FedLin to tackle some of the…

Machine Learning · Computer Science 2021-09-01 Aritra Mitra , Rayana Jaafar , George J. Pappas , Hamed Hassani

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

Computation · Statistics 2024-03-15 Samuel I. Watson

This paper describes an R package named flare, which implements a family of new high dimensional regression methods (LAD Lasso, SQRT Lasso, $\ell_q$ Lasso, and Dantzig selector) and their extensions to sparse precision matrix estimation…

Machine Learning · Statistics 2020-06-30 Xingguo Li , Tuo Zhao , Xiaoming Yuan , Han Liu

The complexity of linear mixed-effects (LME) models means that traditional diagnostics are rendered less effective. This is due to a breakdown of asymptotic results, boundary issues, and visible patterns in residual plots that are…

Methodology · Statistics 2016-12-08 Adam Loy , Heike Hofmann , Dianne Cook

Methods for selecting loglinear models were among Steve Fienberg's research interests since the start of his long and fruitful career. After we dwell upon the string of papers focusing on loglinear models that can be partly attributed to…

Methodology · Statistics 2017-11-08 Adrian Dobra , Abdolreza Mohammadi

The cgam package contains routines to fit the generalized additive model where the components may be modeled with shape and smoothness assumptions. The main routine is cgam and nineteen symbolic routines are provided to indicate the…

Applications · Statistics 2018-12-20 Xiyue Liao , Mary C. Meyer

Due to their flexibility and superior performance, machine learning models frequently complement and outperform traditional statistical survival models. However, their widespread adoption is hindered by a lack of user-friendly tools to…

Accurate forecasting in the e-commerce finance domain is particularly challenging due to irregular invoice schedules, payment deferrals, and user-specific behavioral variability. These factors, combined with sparse datasets and short…

Machine Learning · Computer Science 2025-09-25 Abhishek Sharma , Anat Parush , Sumit Wadhwa , Amihai Savir , Anne Guinard , Prateek Srivastava

Linear modeling is ubiquitous, but performance can suffer when the model is misspecified. We have recently demonstrated that latent groupings in the levels of categorical predictors can complicate inference in a variety of fields including…

Methodology · Statistics 2024-04-11 Thomas A. Metzger , Christopher T. Franck

Sparse logistic regression is for classification and feature selection simultaneously. Although many studies have been done to solve $\ell_1$-regularized logistic regression, there is no equivalently abundant work on solving sparse logistic…

Machine Learning · Computer Science 2023-10-13 Mengyuan Zhang , Kai Liu

Association between categorical variables in contingency tables is analyzed using the information identities based on multivariate multinomial distributions. A scheme of geometric decompositions of the information identities is developed to…

Methodology · Statistics 2018-04-10 Philip E. Cheng , Jiun-Wei Liou , Hung-Wen Kao , Michelle Liou

Relational models for contingency tables are generalizations of log-linear models, allowing effects associated with arbitrary subsets of cells in a possibly incomplete table, and not necessarily containing the overall effect. In this…

Methodology · Statistics 2015-05-01 Anna Klimova , Tamás Rudas

Many scientific and engineering applications require fitting regression models that are nonlinear in the parameters. Advances in computer hardware and software in recent decades have made it easier to fit such models. Relative to fitting…

Methodology · Statistics 2024-03-20 Peng Liu , William Q. Meeker

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

Computation · Statistics 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

We introduce c-lasso, a Python package that enables sparse and robust linear regression and classification with linear equality constraints. The underlying statistical forward model is assumed to be of the following form: \[ y = X \beta +…

Computation · Statistics 2020-11-03 Léo Simpson , Patrick L. Combettes , Christian L. Müller
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