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Despite their remarkable effectiveness and broad application, the drivers of success underlying ensembles of trees are still not fully understood. In this paper, we highlight how interpreting tree ensembles as adaptive and self-regularizing…

机器学习 · 统计学 2024-02-05 Alicia Curth , Alan Jeffares , Mihaela van der Schaar

Random forests have become popular for clinical risk prediction modelling. In a case study on predicting ovarian malignancy, we observed training c-statistics close to 1. Although this suggests overfitting, performance was competitive on…

统计方法学 · 统计学 2024-10-01 Lasai Barreñada , Paula Dhiman , Dirk Timmerman , Anne-Laure Boulesteix , Ben Van Calster

We present convincing empirical evidence for an effective and general strategy for building accurate small models. Such models are attractive for interpretability and also find use in resource-constrained environments. The strategy is to…

机器学习 · 计算机科学 2024-04-30 Abhishek Ghose

Tree-based ensembles such as the Random Forest are modern classics among statistical learning methods. In particular, they are used for predicting univariate responses. In case of multiple outputs the question arises whether we separately…

机器学习 · 统计学 2022-01-17 Lena Schmid , Alexander Gerharz , Andreas Groll , Markus Pauly

Statistical methods for metric spaces provide a general and versatile framework for analyzing complex data types. We introduce a novel approach for constructing confidence regions around new predictions from any bagged regression algorithm…

统计方法学 · 统计学 2026-04-07 Diego Serrano , Eduardo García-Portugués

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

统计方法学 · 统计学 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

The isolation forest algorithm for outlier detection exploits a simple yet effective observation: if taking some multivariate data and making uniformly random cuts across the feature space recursively, it will take fewer such random cuts…

机器学习 · 统计学 2021-11-24 David Cortes

Standard supervised learning procedures are validated against a test set that is assumed to have come from the same distribution as the training data. However, in many problems, the test data may have come from a different distribution. We…

机器学习 · 统计学 2019-08-28 Tim Coleman , Kimberly Kaufeld , Mary Frances Dorn , Lucas Mentch

Random Forests (RF) is a popular machine learning method for classification and regression problems. It involves a bagging application to decision tree models. One of the primary advantages of the Random Forests model is the reduction in…

机器学习 · 统计学 2022-07-06 Sai K Popuri

We demonstrate that adaptively controlling the size of individual regression trees in a random forest can improve predictive performance, contrary to the conventional wisdom that trees should be fully grown. A fast pruning algorithm,…

机器学习 · 统计学 2024-08-15 Nikola Surjanovic , Andrew Henrey , Thomas M. Loughin

The robustification of pattern recognition techniques has been the subject of intense research in recent years. Despite the multiplicity of papers on the subject, very few articles have deeply explored the topic of robust classification in…

应用统计 · 统计学 2015-01-06 Necla Gunduz , Ernest Fokoue

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

机器学习 · 统计学 2019-05-20 Arnaud Joly

A random forest prediction can be computed by the scalar product of the labels of the training examples and a set of weights that are determined by the leafs of the forest into which the test object falls; each prediction can hence be…

机器学习 · 计算机科学 2023-11-27 Henrik Boström

Random Forests (RFs) typically train each tree on a bootstrap sample of the same size as the training set, i.e., bootstrap rate (BR) equals 1.0. We systematically examine how varying BR from 0.2 to 5.0 affects RF performance across 39…

The great success of deep learning heavily relies on increasingly larger training data, which comes at a price of huge computational and infrastructural costs. This poses crucial questions that, do all training data contribute to model's…

机器学习 · 计算机科学 2023-02-28 Shuo Yang , Zeke Xie , Hanyu Peng , Min Xu , Mingming Sun , Ping Li

In the context of personalized medicine, machine learning algorithms are growing in popularity. These algorithms require substantial information, which can be acquired effectively through the usage of previously gathered data. Open data and…

机器学习 · 计算机科学 2026-01-13 Niklas Jacobs , Manuel C. Voelkle , Norbert Kathmann , Kevin Hilbert

Ensemble learning methods are designed to benefit from multiple learning algorithms for better predictive performance. The tradeoff of this improved performance is slower speed and larger size of ensemble learning systems compared to single…

机器学习 · 计算机科学 2021-01-22 Abolfazl Nadi , Hadi Moradi , Khalil Taheri

The number of trees T in the random forest (RF) algorithm for supervised learning has to be set by the user. It is controversial whether T should simply be set to the largest computationally manageable value or whether a smaller T may in…

机器学习 · 统计学 2019-03-11 Philipp Probst , Anne-Laure Boulesteix

We study the variability of predictions made by bagged learners and random forests, and show how to estimate standard errors for these methods. Our work builds on variance estimates for bagging proposed by Efron (1992, 2012) that are based…

机器学习 · 统计学 2014-04-01 Stefan Wager , Trevor Hastie , Bradley Efron

Post-stratification is often used to estimate treatment effects with higher efficiency. However, the majority of existing post-stratification frameworks depend on prior knowledge of the distributions of covariates and assume that the units…

统计方法学 · 统计学 2023-09-13 Taebin Kim , Lili Wang , Randy Lai , Sangho Yoon