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We propose a novel method designed for large-scale regression problems, namely the two-stage best-scored random forest (TBRF). "Best-scored" means to select one regression tree with the best empirical performance out of a certain number of…

机器学习 · 统计学 2019-05-10 Hanyuan Hang , Yingyi Chen , Johan A. K. Suykens

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…

机器学习 · 统计学 2025-11-13 Jing Shang , James Bannon , Benjamin Haibe-Kains , Robert Tibshirani

The discretization of continuous numerical attributes remains a persistent computational bottleneck in the induction of decision trees, particularly as dataset dimensions scale. Building upon the recently proposed MSD-Splitting technique --…

机器学习 · 计算机科学 2026-04-22 Jake Lee

With the insight of variance-bias decomposition, we design a new hybrid bagging-boosting algorithm named SBPMT for classification problems. For the boosting part of SBPMT, we propose a new tree model called Probit Model Tree (PMT) as base…

机器学习 · 统计学 2023-11-07 Tian Qin , Wei-Min Huang

Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

机器人学 · 计算机科学 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

Random forests are a learning algorithm proposed by Breiman [Mach. Learn. 45 (2001) 5--32] that combines several randomized decision trees and aggregates their predictions by averaging. Despite its wide usage and outstanding practical…

统计理论 · 数学 2015-08-11 Erwan Scornet , Gérard Biau , Jean-Philippe Vert

This paper explores adaptive variance reduction methods for stochastic optimization based on the STORM technique. Existing adaptive extensions of STORM rely on strong assumptions like bounded gradients and bounded function values, or suffer…

最优化与控制 · 数学 2024-10-24 Wei Jiang , Sifan Yang , Yibo Wang , Lijun Zhang

In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

机器学习 · 计算机科学 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

In this paper we present a novel probabilistic sampling-based motion planning algorithm called the Fast Marching Tree algorithm (FMT*). The algorithm is specifically aimed at solving complex motion planning problems in high-dimensional…

机器人学 · 计算机科学 2015-02-09 Lucas Janson , Edward Schmerling , Ashley Clark , Marco Pavone

We explore an explicit link between stochastic gradient descent using common batching strategies and splitting methods for ordinary differential equations. From this perspective, we introduce a new minibatching strategy (called Symmetric…

最优化与控制 · 数学 2025-04-08 Luke Shaw , Peter A. Whalley

In this paper, a new gradient-based optimization approach by automatically adjusting the learning rate is proposed. This approach can be applied to design non-adaptive learning rate and adaptive learning rate. Firstly, I will introduce the…

机器学习 · 计算机科学 2022-07-07 Xin Cao

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 random forest (RF) algorithm has become a very popular prediction method for its great flexibility and promising accuracy. In RF, it is conventional to put equal weights on all the base learners (trees) to aggregate their predictions.…

机器学习 · 统计学 2023-05-18 Xinyu Chen , Dalei Yu , Xinyu Zhang

Random Forests (RF) is one of the algorithms of choice in many supervised learning applications, be it classification or regression. The appeal of such tree-ensemble methods comes from a combination of several characteristics: a remarkable…

机器学习 · 统计学 2020-05-18 Jaouad Mourtada , Stéphane Gaïffas , Erwan Scornet

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

最优化与控制 · 数学 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

Random Forest is a machine learning method that offers many advantages, including the ability to easily measure variable importance. Class balancing technique is a well-known solution to deal with class imbalance problem. However, it has…

机器学习 · 统计学 2023-12-19 Yunbi Nam , Sunwoo Han

Decision forests, including Random Forests and Gradient Boosting Trees, have recently demonstrated state-of-the-art performance in a variety of machine learning settings. Decision forests are typically ensembles of axis-aligned decision…

Strong Branching (SB) is a cornerstone of all modern branching rules used in the Branch-and-Bound (BnB) algorithm, which is at the center of Mixed-Integer Programming solvers. In its full form, SB evaluates all variables to branch on and…

最优化与控制 · 数学 2024-04-08 Gioni Mexi , Somayeh Shamsi , Mathieu Besançon , Pierre Le Bodic

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…

统计理论 · 数学 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

Random Forests (RF) are among the most powerful and widely used predictive models for centralized tabular data, yet few methods exist to adapt them to the federated learning setting. Unlike most federated learning approaches, the…

机器学习 · 统计学 2026-05-08 Rémi Khellaf , Erwan Scornet , Aurélien Bellet , Julie Josse