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Random Forests have been extensively used in regression and classification, inspiring the development of various forest-based methods. Among these, Mondrian Forests, derived from the Mondrian process, mark a significant advancement.…

Statistics Theory · Mathematics 2025-02-28 Haoran Zhan , Jingli Wang , Yingcun Xia

This paper proposes a multi-spectral random forest classifier with suitable feature selection and masking for tree cover estimation in urban areas. The key feature of the proposed classifier is filtering out the built-up region using…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Usman Nazir , Momin Uppal , Muhammad Tahir , Zubair Khalid

Regression trees and random forests are popular and effective non-parametric estimators in practical applications. A recent paper by Athey and Wager shows that the random forest estimate at any point is asymptotically Gaussian; in this…

Econometrics · Economics 2021-02-02 Kevin Li

Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this…

Statistics Theory · Mathematics 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

We propose an unsupervised tree boosting algorithm for inferring the underlying sampling distribution of an i.i.d. sample based on fitting additive tree ensembles in a fashion analogous to supervised tree boosting. Integral to the algorithm…

Methodology · Statistics 2023-07-11 Naoki Awaya , Li Ma

The wealth of data being gathered about humans and their surroundings drives new machine learning applications in various fields. Consequently, more and more often, classifiers are trained using not only numerical data but also complex data…

Machine Learning · Computer Science 2022-04-13 Maciej Piernik , Dariusz Brzezinski , Pawel Zawadzki

Existing ordinal trees and random forests typically use scores that are assigned to the ordered categories, which implies that a higher scale level is used. Versions of ordinal trees are proposed that take the scale level seriously and…

Methodology · Statistics 2021-02-02 Gerhard Tutz

Random forests are a statistical learning technique that use bootstrap aggregation to average high-variance and low-bias trees. Improvements to random forests, such as applying Lasso regression to the tree predictions, have been proposed in…

Machine Learning · Statistics 2025-11-13 Jing Shang , James Bannon , Benjamin Haibe-Kains , Robert Tibshirani

We address the problem of detecting anomalies as samples that do not conform to structured patterns represented by low-dimensional manifolds. To this end, we conceive a general anomaly detection framework called Preference Isolation Forest…

Machine Learning · Computer Science 2025-09-19 Filippo Leveni , Luca Magri , Cesare Alippi , Giacomo Boracchi

Computer network anomaly detection and log analysis, as an important topic in the field of network security, has been a key task to ensure network security and system reliability. First, existing network anomaly detection and log analysis…

Machine Learning · Computer Science 2024-09-17 Shuzhan Wang , Ruxue Jiang , Zhaoqi Wang , Yan Zhou

Analysis of sample survey data often requires adjustments to account for missing data in the outcome variables of principal interest. Standard adjustment methods based on item imputation or on propensity weighting factors rely heavily on…

Methodology · Statistics 2016-03-08 Wei-Yin Loh , John Eltinge , MoonJung Cho , Yuanzhi Li

In this paper, we reformulate the forest representation learning approach as an additive model which boosts the augmented feature instead of the prediction. We substantially improve the upper bound of generalization gap from…

Machine Learning · Computer Science 2019-05-09 Shen-Huan Lv , Liang Yang , Zhi-Hua Zhou

The anomaly detection literature is abundant with offline methods, which require repeated access to data in memory, and impose impractical assumptions when applied to a streaming context. Existing online anomaly detection methods also…

Machine Learning · Computer Science 2025-05-16 Filippo Leveni , Guilherme Weigert Cassales , Bernhard Pfahringer , Albert Bifet , Giacomo Boracchi

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

Deep forest is a non-differentiable deep model which has achieved impressive empirical success across a wide variety of applications, especially on categorical/symbolic or mixed modeling tasks. Many of the application fields prefer…

Machine Learning · Computer Science 2023-05-02 Yi-Xiao He , Shen-Huan Lyu , Yuan Jiang

This work studies the statistical implications of using features comprised of general linear combinations of covariates to partition the data in randomized decision tree and forest regression algorithms. Using random tessellation theory in…

Statistics Theory · Mathematics 2025-11-05 Eliza O'Reilly

We consider supervised learning with random decision trees, where the tree construction is completely random. The method is popularly used and works well in practice despite the simplicity of the setting, but its statistical mechanism is…

Machine Learning · Computer Science 2015-02-06 Mariusz Bojarski , Anna Choromanska , Krzysztof Choromanski , Yann LeCun

Anomaly Detection (AD) focuses on identifying unusual behaviors in complex datasets. Machine Learning (ML) algorithms and Decision Support Systems (DSSs) provide effective solutions for AD, but detecting anomalies alone may not be enough,…

Machine Learning · Statistics 2024-10-10 Alessio Arcudi , Davide Frizzo , Chiara Masiero , Gian Antonio Susto

Most real-world classification problems deal with imbalanced datasets, posing a challenge for Artificial Intelligence (AI), i.e., machine learning algorithms, because the minority class, which is of extreme interest, often proves difficult…

Machine Learning · Computer Science 2025-04-28 Gissel Velarde , Michael Weichert , Anuj Deshmunkh , Sanjay Deshmane , Anindya Sudhir , Khushboo Sharma , Vaibhav Joshi

Decision forests, including random forests and gradient boosting trees, remain the leading machine learning methods for many real-world data problems, especially on tabular data. However, most of the current implementations only operate in…

Machine Learning · Computer Science 2025-06-27 Haoyin Xu , Jayanta Dey , Sambit Panda , Joshua T. Vogelstein
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