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Latent variable models are widely used in social and behavioural sciences, including education, psychology, and political science. With the increasing availability of large and complex datasets, high-dimensional latent variable models have…

Computation · Statistics 2025-12-09 Motonori Oka , Yunxiao Chen , Irini Moustaki

We consider the problem of classification in a comparison-based setting: given a set of objects, we only have access to triplet comparisons of the form "object $x_i$ is closer to object $x_j$ than to object $x_k$." In this paper we…

Machine Learning · Statistics 2019-05-30 Michaël Perrot , Ulrike von Luxburg

Vine copulas are flexible dependence models using bivariate copulas as building blocks. If the parameters of the bivariate copulas in the vine copula depend on covariates, one obtains a conditional vine copula. We propose an extension for…

Methodology · Statistics 2024-06-21 David Jobst , Annette Möller , Jürgen Groß

Gradient boosting is a sequential ensemble method that fits a new weaker learner to pseudo residuals at each iteration. We propose Wasserstein gradient boosting, a novel extension of gradient boosting that fits a new weak learner to…

Methodology · Statistics 2024-08-30 Takuo Matsubara

Additive models (AMs) have sparked a lot of interest in machine learning recently, allowing the incorporation of interpretable structures into a wide range of model classes. Many commonly used approaches to fit a wide variety of potentially…

Machine Learning · Computer Science 2025-10-23 Rickmer Schulte , David Rügamer

Boosting combines weak (biased) learners to obtain effective learning algorithms for classification and prediction. In this paper, we show a connection between boosting and kernel-based methods, highlighting both theoretical and practical…

Machine Learning · Statistics 2017-04-14 Aleksandr Y. Aravkin , Giulio Bottegal , Gianluigi Pillonetto

Model selection requires repeatedly evaluating models on a given dataset and measuring their relative performances. In modern applications of machine learning, the models being considered are increasingly more expensive to evaluate and the…

Machine Learning · Computer Science 2020-10-21 Anant Raj , Cameron Musco , Lester Mackey , Nicolo Fusi

In this article we propose a boosting algorithm for regression with functional explanatory variables and scalar responses. The algorithm uses decision trees constructed with multiple projections as the "base-learners", which we call…

Methodology · Statistics 2023-04-07 Xiaomeng Ju , Matías Salibián-Barrera

Variational Bayes methods approximate the posterior density by a family of tractable distributions whose parameters are estimated by optimisation. Variational approximation is useful when exact inference is intractable or very costly. Our…

Computation · Statistics 2023-08-15 David Gunawan , Robert Kohn , David Nott

Many single-target regression problems require estimates of uncertainty along with the point predictions. Probabilistic regression algorithms are well-suited for these tasks. However, the options are much more limited when the prediction…

Machine Learning · Statistics 2021-06-08 Michael O'Malley , Adam M. Sykulski , Rick Lumpkin , Alejandro Schuler

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic…

Machine Learning · Statistics 2021-10-07 Donald K. K. Lee , Ningyuan Chen , Hemant Ishwaran

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

Methodology · Statistics 2021-12-30 Chuji Luo , Michael J. Daniels

Boosting is a popular algorithm in supervised machine learning with wide applications in regression and classification problems. It combines weak learners, such as regression trees, to obtain accurate predictions. However, in the presence…

Computation · Statistics 2025-02-06 Zhu Wang

Boosting is a commonly used technique to enhance the performance of a set of base models by combining them into a strong ensemble model. Though widely adopted, boosting is typically used in supervised learning where the data is labeled…

Machine Learning · Computer Science 2023-06-06 Rongzhi Zhang , Yue Yu , Jiaming Shen , Xiquan Cui , Chao Zhang

In boosting, we aim to leverage multiple weak learners to produce a strong learner. At the center of this paradigm lies the concept of building the strong learner as a voting classifier, which outputs a weighted majority vote of the weak…

Machine Learning · Computer Science 2024-12-23 Arthur da Cunha , Kasper Green Larsen , Martin Ritzert

Model-based clustering integrated with variable selection is a powerful tool for uncovering latent structures within complex data. However, its effectiveness is often hindered by challenges such as identifying relevant variables that define…

Numerous variable selection methods rely on a two-stage procedure, where a sparsity-inducing penalty is used in the first stage to predict the support, which is then conveyed to the second stage for estimation or inference purposes. In this…

Applications · Statistics 2015-05-28 Jean-Michel Bécu , Yves Grandvalet , Christophe Ambroise , Cyril Dalmasso

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

Methodology · Statistics 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

In this paper, we present a new variable selection method for regression and classification purposes. Our method, called Subsampling Ranking Forward selection (SuRF), is based on LASSO penalised regression, subsampling and forward-selection…

Methodology · Statistics 2021-05-25 Lihui Liu , Hong Gu , Johan Van Limbergen , Toby Kenney

As an adaptive, interpretable, robust, and accurate meta-algorithm for arbitrary differentiable loss functions, gradient tree boosting is one of the most popular machine learning techniques, though the computational expensiveness severely…

Machine Learning · Computer Science 2019-11-21 Daniel Chao Zhou , Zhongming Jin , Tong Zhang