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We propose a method for transfer learning in nonparametric regression using a random forest (RF) with distance covariance-based feature weights, assuming the unknown source and target regression functions are sparsely different. Our method…

Machine Learning · Statistics 2026-03-17 Chenze Li , Subhadeep Paul

Throughout the last decade, random forests have established themselves as among the most accurate and popular supervised learning methods. While their black-box nature has made their mathematical analysis difficult, recent work has…

Methodology · Statistics 2019-12-10 Tim Coleman , Wei Peng , Lucas Mentch

In this paper, we modify the proof methods of some previously weakly consistent variants of random forests into strongly consistent proof methods, and improve the data utilization of these variants in order to obtain better theoretical…

Machine Learning · Computer Science 2023-10-17 JunHao Chen

Data analysis and machine learning have become an integrative part of the modern scientific methodology, providing automated techniques to predict further information based on observations. One of these classification and regression…

Computer Vision and Pattern Recognition · Computer Science 2019-01-07 Mario Amrehn , Firas Mualla , Elli Angelopoulou , Stefan Steidl , Andreas Maier

This paper presents an impact assessment for the imputation of missing data. The data set used is HIV Seroprevalence data from an antenatal clinic study survey performed in 2001. Data imputation is performed through five methods: Random…

Methodology · Statistics 2020-11-25 Adam Pantanowitz , Tshilidzi Marwala

We propose a novel multivariate nonparametric multiple change point detection method using classifiers. We construct a classifier log-likelihood ratio that uses class probability predictions to compare different change point configurations.…

Methodology · Statistics 2023-08-16 Malte Londschien , Peter Bühlmann , Solt Kovács

In this paper we investigate the use of staged tree models for discrete longitudinal data. Staged trees are a type of probabilistic graphical model for finite sample space processes. They are a natural fit for longitudinal data because a…

Methodology · Statistics 2024-01-10 Jack Storror Carter , Manuele Leonelli , Eva Riccomagno , Alessandro Ugolini

Domain generalization is a popular machine learning technique that enables models to perform well on the unseen target domain, by learning from multiple source domains. Domain generalization is useful in cases where data is limited,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Yuyang Sun , Panagiotis Kosmas

Missing data imputation is a critical challenge in various domains, such as healthcare and finance, where data completeness is vital for accurate analysis. Large language models (LLMs), trained on vast corpora, have shown strong potential…

Machine Learning · Computer Science 2025-08-26 Xinrui He , Yikun Ban , Jiaru Zou , Tianxin Wei , Curtiss B. Cook , Jingrui He

This paper presents a new ensemble learning method for classification problems called projection pursuit random forest (PPF). PPF uses the PPtree algorithm introduced in Lee et al. (2013). In PPF, trees are constructed by splitting on…

Machine Learning · Statistics 2021-05-24 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

We adapt the idea of random projections applied to the output space, so as to enhance tree-based ensemble methods in the context of multi-label classification. We show how learning time complexity can be reduced without affecting…

Machine Learning · Statistics 2021-07-02 Arnaud Joly , Pierre Geurts , Louis Wehenkel

We offer theoretical and empirical insights into the impact of exogenous randomness on the effectiveness of random forests with tree-building rules independent of training data. We formally introduce the concept of exogenous randomness and…

Machine Learning · Statistics 2024-11-13 Tianxing Mei , Yingying Fan , Jinchi Lv

We characterize and study variable importance (VIMP) and pairwise variable associations in binary regression trees. A key component involves the node mean squared error for a quantity we refer to as a maximal subtree. The theory naturally…

Machine Learning · Statistics 2009-09-29 Hemant Ishwaran

In recent years, numerous screening methods have been published for ultrahigh-dimensional data that contain hundreds of thousands of features; however, most of these features cannot handle data with thousands of classes. Prediction models…

Random Forests are widely claimed to capture interactions well. However, some simple examples suggest that they perform poorly in the presence of certain pure interactions that the conventional CART criterion struggles to capture during…

Machine Learning · Statistics 2025-08-04 Ricardo Blum , Munir Hiabu , Enno Mammen , Joseph Theo Meyer

We propose a random forest estimator for the intensity of spatial point processes, applicable with or without covariates. It retains the well-known advantages of a random forest approach, including the ability to handle a large number of…

Methodology · Statistics 2025-11-13 Christophe Biscio , Frédéric Lavancier

We propose an innovative statistical method, called Ordinal Mixed-Effect Random Forest (OMERF), that extends the use of random forest to the analysis of hierarchical data and ordinal responses. The model preserves the flexibility and…

Methodology · Statistics 2024-06-06 Giulia Bergonzoli , Lidia Rossi , Chiara Masci

Due to the steadily increasing relevance of machine learning for practical applications, many of which are coming with safety requirements, the notion of uncertainty has received increasing attention in machine learning research in the last…

Machine Learning · Computer Science 2020-01-06 Mohammad Hossein Shaker , Eyke Hüllermeier

Due to the dynamic nature of financial markets, maintaining models that produce precise predictions over time is difficult. Often the goal isn't just point prediction but determining uncertainty. Quantifying uncertainty, especially the…

Machine Learning · Statistics 2024-08-06 Mingshu Li , Bhaskarjit Sarmah , Dhruv Desai , Joshua Rosaler , Snigdha Bhagat , Philip Sommer , Dhagash Mehta

Approximate Bayesian computation (ABC) methods provide an elaborate approach to Bayesian inference on complex models, including model choice. Both theoretical arguments and simulation experiments indicate, however, that model posterior…