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We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

统计方法学 · 统计学 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen

We propose a new fast algorithm to estimate any sparse generalized linear model with convex or non-convex separable penalties. Our algorithm is able to solve problems with millions of samples and features in seconds, by relying on…

This paper introduces a class of generalised linear models (GLMs) driven by latent processes for modelling count, real-valued, binary, and positive continuous time series. Extending earlier latent-process regression frameworks based on…

统计方法学 · 统计学 2026-02-19 Wagner Barreto-Souza , Ngai Hang Chan

High-dimensional biomedical studies require models that are simultaneously accurate, sparse, and interpretable, yet exact best subset selection for generalized linear models is computationally intractable. We develop a scalable method that…

统计方法学 · 统计学 2026-03-24 Anant Mathur , Benoit Liquet , Samuel Muller , Sarat Moka

Holistic linear regression extends the classical best subset selection problem by adding additional constraints designed to improve the model quality. These constraints include sparsity-inducing constraints, sign-coherence constraints and…

机器学习 · 统计学 2025-12-17 Benjamin Schwendinger , Florian Schwendinger , Laura Vana

The development of robust generative models for highly varied non-stationary time series data is a complex yet important problem. Traditional models for time series data prediction, such as Long Short-Term Memory (LSTM), are inefficient and…

机器学习 · 计算机科学 2024-11-18 Anton Johansson , Arunselvan Ramaswamy

The Gaussian process latent variable model (GPLVM) is a popular probabilistic method used for nonlinear dimension reduction, matrix factorization, and state-space modeling. Inference for GPLVMs is computationally tractable only when the…

机器学习 · 统计学 2023-06-16 Michael Minyi Zhang , Gregory W. Gundersen , Barbara E. Engelhardt

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

统计方法学 · 统计学 2015-11-13 Simon N. Wood

Generalized additive models for location, scale and shape (GAMLSS) are a flexible class of regression models that allow to model multiple parameters of a distribution function, such as the mean and the standard deviation, simultaneously.…

统计计算 · 统计学 2014-07-08 Benjamin Hofner , Andreas Mayr , Matthias Schmid

Time series prediction is challenging due to our limited understanding of the underlying dynamics. Conventional models such as ARIMA and Holt's linear trend model experience difficulty in identifying nonlinear patterns in time series. In…

统计方法学 · 统计学 2025-11-13 Thu Nguyen , Lam Si Tung Ho

Large Language Models (LLMs) have grown exponentially since the release of ChatGPT. These models have gained attention due to their robust performance on various tasks, including language processing tasks. These models achieve understanding…

计算与语言 · 计算机科学 2025-08-11 Ali Sarabadani , Maryam Abdollahi Shamami , Hamidreza Sadeghsalehi , Borhan Asadi , Saba Hesaraki

Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmsslm, an R package for estimating the Bayes' classifier from…

统计计算 · 统计学 2024-04-18 Ziyang Lyu , Daniel Ahfock , Ryan Thompson , Geoffrey J. McLachlan

Generative dynamic texture models (GDTMs) are widely used for dynamic texture (DT) segmentation in the video sequences. GDTMs represent DTs as a set of linear dynamical systems (LDSs). A major limitation of these models concerns the…

图形学 · 计算机科学 2019-01-15 Sahar Yousefi , M. T. Manzuri Shalmani , Antoni B. Chan

The relationship between short-term exposure to air pollution and mortality or morbidity has been the subject of much recent research, in which the standard method of analysis uses Poisson linear or additive models. In this paper we use a…

应用统计 · 统计学 2012-01-27 Duncan Lee , Gavin Shaddick

We introduce a new computational framework for estimating parameters in generalized generalized linear models (GGLM), a class of models that extends the popular generalized linear models (GLM) to account for dependencies among observations…

统计方法学 · 统计学 2023-04-28 Anatoli Juditsky , Arkadi Nemirovski , Yao Xie , Chen Xu

We present the R-package mgm for the estimation of k-order Mixed Graphical Models (MGMs) and mixed Vector Autoregressive (mVAR) models in high-dimensional data. These are a useful extensions of graphical models for only one variable type,…

应用统计 · 统计学 2020-02-13 Jonas M. B. Haslbeck , Lourens J. Waldorp

We present DLKoopman -- a software package for Koopman theory that uses deep learning to learn an encoding of a nonlinear dynamical system into a linear space, while simultaneously learning the linear dynamics. While several previous…

机器学习 · 计算机科学 2023-06-26 Sourya Dey , Eric Davis

Models with random effects, such as generalised linear mixed models (GLMMs), are often used for analysing clustered data. Parameter inference with these models is difficult because of the presence of cluster-specific random effects, which…

统计计算 · 统计学 2024-04-19 Bao Anh Vu , David Gunawan , Andrew Zammit-Mangion

The analysis of longitudinal data gives the chance to observe how unit behaviors change over time, but it also poses a series of issues. These have been the focus of an extensive literature in the context of linear and generalized linear…

统计计算 · 统计学 2025-10-20 Marco Alfó , Maria Francesca Marino , Maria Giovanna Ranalli , Nicola Salvati

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

统计方法学 · 统计学 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij