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The standard regression tree method applied to observations within clusters poses both methodological and implementation challenges. Effectively leveraging these data requires methods that account for both individual-level and sample-level…

Methodology · Statistics 2025-03-05 Jeremiah Allis , Xin Jin , Riddhi Ghosh

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

Automatic machine learning performs predictive modeling with high performing machine learning tools without human interference. This is achieved by making machine learning applications parameter-free, i.e. only a dataset is provided while…

Machine Learning · Statistics 2018-07-16 Janek Thomas , Stefan Coors , Bernd Bischl

A stepped wedge design is a unidirectional crossover design where clusters are randomized to distinct treatment sequences. While model-based analysis of stepped wedge designs is standard practice to evaluate treatment effects accounting for…

Methodology · Statistics 2024-09-13 Bingkai Wang , Xueqi Wang , Fan Li

Nowadays, weather forecasts are commonly generated by ensemble forecasts based on multiple runs of numerical weather prediction models. However, such forecasts are usually miscalibrated and/or biased, thus require statistical…

Applications · Statistics 2024-12-13 David Jobst

In this paper, we propose a gradient boosting algorithm for large-scale regression problems called \textit{Gradient Boosted Binary Histogram Ensemble} (GBBHE) based on binary histogram partition and ensemble learning. From the theoretical…

Machine Learning · Statistics 2021-06-04 Hanyuan Hang , Tao Huang , Yuchao Cai , Hanfang Yang , Zhouchen Lin

In developing data-driven modeling methodologies, there is an ongoing need to reconcile the strong predictive performance of opaque black-box models with the transparency required for critical applications. This work introduces an…

Machine Learning · Statistics 2026-05-21 Xin Huang , Jia Li , Jun Yu

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

Machine Learning · Computer Science 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Boosting algorithms to simultaneously estimate and select predictor effects in statistical models have gained substantial interest during the last decade. This review article aims to highlight recent methodological developments regarding…

Methodology · Statistics 2014-11-19 Andreas Mayr , Harald Binder , Olaf Gefeller , Matthias Schmid

The effects of different parametrizations on the convergence of Bayesian computational algorithms for hierarchical models are well explored. Techniques such as centering, noncentering and partial noncentering can be used to accelerate…

Computation · Statistics 2015-03-20 Linda S. L. Tan , David J. Nott

Random forest and deep neural network are two schools of effective classification methods in machine learning. While the random forest is robust irrespective of the data domain, the deep neural network has advantages in handling high…

Machine Learning · Computer Science 2018-06-26 Manqing Dong , Lina Yao , Xianzhi Wang , Boualem Benatallah , Shuai Zhang

For high-dimensional data, there are huge communication costs for distributed GBDT because the communication volume of GBDT is related to the number of features. To overcome this problem, we propose a novel gradient boosting algorithm, the…

Machine Learning · Computer Science 2020-11-11 Xiatian Zhang , Xunshi He , Nan Wang , Rong Chen

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

As the availability, size and complexity of data have increased in recent years, machine learning (ML) techniques have become popular for modeling. Predictions resulting from applying ML models are often used for inference, decision-making,…

Machine Learning · Statistics 2023-04-25 Xiaozhe Yin , Masoud Fallah-Shorshani , Rob McConnell , Scott Fruin , Yao-Yi Chiang , Meredith Franklin

Structured additive distributional copula regression allows to model the joint distribution of multivariate outcomes by relating all distribution parameters to covariates. Estimation via statistical boosting enables accounting for…

The Graph Neural Network (GNN) has been widely used for graph data representation. However, the existing researches only consider the ideal balanced dataset, and the imbalanced dataset is rarely considered. Traditional methods such as…

Machine Learning · Computer Science 2022-05-10 S. Shi , Kai Qiao , Shuai Yang , L. Wang , J. Chen , Bin Yan

A feature selection algorithm should ideally satisfy four conditions: reliably extract relevant features; be able to identify non-linear feature interactions; scale linearly with the number of features and dimensions; allow the…

Machine Learning · Computer Science 2019-01-15 Zhixiang Eddie Xu , Gao Huang , Kilian Q. Weinberger , Alice X. Zheng

Technology and collaboration enable dramatic increases in the size of psychological and psychiatric data collections, but finding structure in these large data sets with many collected variables is challenging. Decision tree ensembles like…

Machine Learning · Statistics 2017-02-15 Patrick J. Miller , Gitta H. Lubke , Daniel B. McArtor , C. S. Bergeman

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

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…