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Modern analysis of high energy physics (HEP) data needs advanced statistical tools to separate signal from background. A C++ package has been implemented to provide such tools for the HEP community. The package includes linear and quadratic…

Data Analysis, Statistics and Probability · Physics 2007-05-23 I. Narsky

Random forests are one of the most popular machine learning methods due to their accuracy and variable importance assessment. However, random forests only provide variable importance in a global sense. There is an increasing need for such…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Ruoqing Zhu , Yifan Cui , Xin Zhang

Dynamic memory management requires special attention in programming. It should be fast and secure at the same time. This paper proposes a new randomized dynamic memory management algorithm designed to meet these requirements. Randomization…

Data Structures and Algorithms · Computer Science 2021-08-25 Irina Aleksandrovna Astrakhantseva , Roman Gennadevich Astrakhantsev , Arseny Viktorovich Mitin

In this short article I introduce the spray package, which provides some functionality for handling sparse arrays. The package uses the C++ Standard Template Library's map class to store and retrieve elements. One natural application for…

Symbolic Computation · Computer Science 2022-10-21 Robin K. S. Hankin

Random forest regression (RF) is an extremely popular tool for the analysis of high-dimensional data. Nonetheless, its benefits may be lessened in sparse settings due to weak predictors, and a pre-estimation dimension reduction (targeting)…

We propose to prune a random forest (RF) for resource-constrained prediction. We first construct a RF and then prune it to optimize expected feature cost & accuracy. We pose pruning RFs as a novel 0-1 integer program with linear constraints…

Machine Learning · Statistics 2016-06-17 Feng Nan , Joseph Wang , Venkatesh Saligrama

Random Forest remains one of Data Mining's most enduring ensemble algorithms, achieving well-documented levels of accuracy and processing speed, as well as regularly appearing in new research. However, with data mining now reaching the…

Machine Learning · Computer Science 2020-04-07 Darren Yates , Md Zahidul Islam

We study the problem of sharing as many branching conditions of a given forest classifier or regressor as possible while keeping classification performance. As a constraint for preventing from accuracy degradation, we first consider the one…

Machine Learning · Computer Science 2022-12-15 Atsuyoshi Nakamura , Kento Sakurada

The multi-resolution approximation (MRA) of Gaussian processes was recently proposed to conduct likelihood-based inference for massive spatial data sets. An advantage of the methodology is that it can be parallelized. We implemented the MRA…

Computation · Statistics 2019-05-07 Huang Huang , Lewis R. Blake , Dorit M. Hammerling

Random forest regression is a powerful non-parametric method that adapts to local data characteristics through data-driven partitioning, making it effective across diverse application domains. However, the piecewise constant nature of…

Machine Learning · Computer Science 2026-05-19 Ziyi Liu , Phuc Luong , Mario Boley , Daniel F. Schmidt

Classification using sparse oblique random forests provides guarantees on uncertainty and confidence while controlling for specific error types. However, they use more data and more compute than other tree ensembles because they create deep…

Random forests are widely used in regression. However, the decision trees used as base learners are poor approximators of linear relationships. To address this limitation we propose RaFFLE (Random Forest Featuring Linear Extensions), a…

Machine Learning · Computer Science 2025-02-17 Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck , Ruicong Yao

Random forests are a very effective and commonly used statistical method, but their full theoretical analysis is still an open problem. As a first step, simplified models such as purely random forests have been introduced, in order to shed…

Statistics Theory · Mathematics 2014-07-16 Sylvain Arlot , Robin Genuer

We prove uniform consistency of Random Survival Forests (RSF), a newly introduced forest ensemble learner for analysis of right-censored survival data. Consistency is proven under general splitting rules, bootstrapping, and random selection…

Statistics Theory · Mathematics 2008-11-19 Hemant Ishwaran , Udaya B. Kogalur

Simulated high-dimensional data is useful for testing, validating, and improving algorithms used in dimension reduction, supervised and unsupervised learning. High-dimensional data is characterized by multiple variables that are dependent…

Following the line of classification-based two-sample testing, tests based on the Random Forest classifier are proposed. The developed tests are easy to use, require almost no tuning, and are applicable for any distribution on…

Methodology · Statistics 2021-05-07 Simon Hediger , Loris Michel , Jeffrey Näf

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Tal Remez , Shai Avidan

Machine learning algorithms such as random forests or xgboost are gaining more importance and are increasingly incorporated into production processes in order to enable comprehensive digitization and, if possible, automation of processes.…

Machine Learning · Computer Science 2021-07-20 Eva Bartz , Martin Zaefferer , Olaf Mersmann , Thomas Bartz-Beielstein

In this work, we present a random forest framework that learns the weights, shapes, and sparsities of feature representations for real-time semantic segmentation. Typical filters (kernels) have predetermined shapes and sparsities and learn…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Byeongkeun Kang , Truong Q. Nguyen

Random Forest (RF) is a widely used ensemble learning technique known for its robust classification performance across diverse domains. However, it often relies on hundreds of trees and all input features, leading to high inference cost and…

Machine Learning · Computer Science 2025-07-08 Sijan Bhattarai , Saurav Bhandari , Girija Bhusal , Saroj Shakya , Tapendra Pandey