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Random Forest (Breiman, 2001) is a successful and widely used regression and classification algorithm. Part of its appeal and reason for its versatility is its (implicit) construction of a kernel-type weighting function on training data,…

机器学习 · 统计学 2022-10-13 Domagoj Ćevid , Loris Michel , Jeffrey Näf , Nicolai Meinshausen , Peter Bühlmann

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…

统计方法学 · 统计学 2021-03-25 Joshua Daniel Loyal , Ruoqing Zhu , Yifan Cui , Xin Zhang

Interpretability of learning algorithms is crucial for applications involving critical decisions, and variable importance is one of the main interpretation tools. Shapley effects are now widely used to interpret both tree ensembles and…

机器学习 · 统计学 2022-02-03 Clément Bénard , Gérard Biau , Sébastien da Veiga , Erwan Scornet

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

统计理论 · 数学 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

The oblique random survival forest (RSF) is an ensemble supervised learning method for right-censored outcomes. Trees in the oblique RSF are grown using linear combinations of predictors to create branches, whereas in the standard RSF, a…

The Cox proportional hazards model is often used to analyze data from Randomized Controlled Trials (RCT) with time-to-event outcomes. Random survival forest (RSF) is a machine-learning algorithm known for its high predictive performance. We…

机器学习 · 统计学 2025-05-28 Ricarda Graf , Susan Todd , M. Fazil Baksh

Machine Learning (ML) algorithms, like Convolutional Neural Networks (CNN), Support Vector Machines (SVM), etc. have become widespread and can achieve high statistical performance. However their accuracy decreases significantly in…

分布式、并行与集群计算 · 计算机科学 2017-04-12 Zafar Takhirov , Joseph Wang , Marcia S. Louis , Venkatesh Saligrama , Ajay Joshi

Sampling-based motion planners perform exceptionally well in robotic applications that operate in high-dimensional space. However, most works often constrain the planning workspace rooted at some fixed locations, do not adaptively reason on…

机器人学 · 计算机科学 2021-03-09 Tin Lai

Kernel methods are powerful and flexible approach to solve many problems in machine learning. Due to the pairwise evaluations in kernel methods, the complexity of kernel computation grows as the data size increases; thus the applicability…

机器学习 · 计算机科学 2017-11-28 Bharath Bhushan Damodaran , Nicolas Courty , Philippe-Henri Gosselin

Random Forest has become one of the most popular tools for feature selection. Its ability to deal with high-dimensional data makes this algorithm especially useful for studies in neuroimaging and bioinformatics. Despite its popularity and…

机器学习 · 计算机科学 2014-10-13 Ender Konukoglu , Melanie Ganz

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

统计理论 · 数学 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

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…

机器学习 · 统计学 2016-06-17 Feng Nan , Joseph Wang , Venkatesh Saligrama

The rapid growth of Large Language Models has driven demand for effective model compression techniques to reduce memory and computation costs. Low-rank pruning has gained attention for its GPU compatibility across all densities. However,…

机器学习 · 计算机科学 2025-08-14 Jialin Zhao , Yingtao Zhang , Carlo Vittorio Cannistraci

Random forests are a widely used machine learning algorithm, but their computational efficiency is undermined when applied to large-scale datasets with numerous instances and useless features. Herein, we propose a nonparametric feature…

机器学习 · 计算机科学 2022-01-19 Xiaojun Mao , Liuhua Peng , Zhonglei Wang

Manifold alignment is a type of data fusion technique that creates a shared low-dimensional representation of data collected from multiple domains, enabling cross-domain learning and improved performance in downstream tasks. This paper…

机器学习 · 计算机科学 2024-11-26 Jake S. Rhodes , Adam G. Rustad

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.…

统计方法学 · 统计学 2023-08-16 Malte Londschien , Peter Bühlmann , Solt Kovács

We propose the use of low bit-depth Sigma-Delta and distributed noise-shaping methods for quantizing the Random Fourier features (RFFs) associated with shift-invariant kernels. We prove that our quantized RFFs -- even in the case of $1$-bit…

机器学习 · 计算机科学 2022-04-14 Jinjie Zhang , Harish Kannan , Alexander Cloninger , Rayan Saab

Kernel methods provide a flexible and theoretically grounded approach to nonlinear and nonparametric learning. While memory and run-time requirements hinder their applicability to large datasets, many low-rank kernel approximations, such as…

机器学习 · 统计学 2024-04-15 Mateus P. Otto , Rafael Izbicki

In this paper, we propose a novel random-forest scheme, namely Joint Maximum Purity Forest (JMPF), for classification, clustering, and regression tasks. In the JMPF scheme, the original feature space is transformed into a compactly…

计算机视觉与模式识别 · 计算机科学 2017-08-31 Hailiang Li , Kin-Man Lam , Dong Li

Distributional Random Forest (DRF) is a flexible forest-based method to estimate the full conditional distribution of a multivariate output of interest given input variables. In this article, we introduce a variable importance algorithm for…

机器学习 · 统计学 2024-02-15 Clément Bénard , Jeffrey Näf , Julie Josse