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We consider the problem of learning an optimal prescriptive tree (i.e., an interpretable treatment assignment policy in the form of a binary tree) of moderate depth, from observational data. This problem arises in numerous socially…

机器学习 · 计算机科学 2023-07-25 Nathanael Jo , Sina Aghaei , Andrés Gómez , Phebe Vayanos

We propose ODTE, a new ensemble that uses oblique decision trees as base classifiers. Additionally, we introduce STree, the base algorithm for growing oblique decision trees, which leverages support vector machines to define hyperplanes…

机器学习 · 计算机科学 2025-03-18 Ricardo Montañana , José A. Gámez , José M. Puerta

We consider the problem of learning classification trees that are robust to distribution shifts between training and testing/deployment data. This problem arises frequently in high stakes settings such as public health and social work where…

机器学习 · 计算机科学 2025-08-27 Nathan Justin , Sina Aghaei , Andrés Gómez , Phebe Vayanos

A decision tree is one of the most popular approaches in machine learning fields. However, it suffers from the problem of overfitting caused by overly deepened trees. Then, a meta-tree is recently proposed. It solves the problem of…

机器学习 · 统计学 2024-02-12 Ryota Maniwa , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

Model performance is frequently reported only for the overall population under consideration. However, due to heterogeneity, overall performance measures often do not accurately represent model performance within specific subgroups. We…

统计方法学 · 统计学 2025-06-03 Ruotao Zhang , Constantine Gatsonis , Jon Steingrimsson

Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

统计理论 · 数学 2024-10-04 Hengrui Luo , Meng Li

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…

The global optimization of classification trees has demonstrated considerable promise, notably in enhancing accuracy, optimizing size, and thereby improving human comprehensibility. While existing optimal classification trees substantially…

机器学习 · 计算机科学 2024-02-01 Jiancheng Tu , Wenqi Fan , Zhibin Wu

Bootstrap resampling is the foundation of many ensemble learning methods, and out-of-bag (OOB) error estimation is the most widely used internal measure of generalization performance. In the standard multinomial bootstrap, the number of…

统计方法学 · 统计学 2025-11-25 Cheng Peng

Bootstrap aggregating (Bagging) and boosting are two popular ensemble learning approaches, which combine multiple base learners to generate a composite model for more accurate and more reliable performance. They have been widely used in…

机器学习 · 计算机科学 2022-12-07 Changming Zhao , Dongrui Wu , Jian Huang , Ye Yuan , Hai-Tao Zhang , Ruimin Peng , Zhenhua Shi

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

机器学习 · 计算机科学 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

Recently, deep neural networks have expanded the state-of-art in various scientific fields and provided solutions to long standing problems across multiple application domains. Nevertheless, they also suffer from weaknesses since their…

机器学习 · 计算机科学 2023-05-03 Felipe Kenji Nakano , Konstantinos Pliakos , Celine Vens

Most decision tree induction algorithms are based on a greedy top-down recursive partitioning strategy for tree growth. In this paper, we propose several methods for induction of decision trees and their ensembles based on evolutionary…

神经与进化计算 · 计算机科学 2020-02-04 Evgeny Dolotov , Nikolai Zolotykh

Machine Learning has attracted considerable attention throughout the past decade due to its potential to solve far-reaching tasks, such as image classification, object recognition, anomaly detection, and data forecasting. A standard…

机器学习 · 计算机科学 2022-02-09 Gustavo Henrique de Rosa , Mateus Roder , João Paulo Papa

Sequential model-based optimization sequentially selects a candidate point by constructing a surrogate model with the history of evaluations, to solve a black-box optimization problem. Gaussian process (GP) regression is a popular choice as…

机器学习 · 统计学 2022-02-23 Jungtaek Kim , Seungjin Choi

In this paper we present a technique for using the bootstrap to estimate the operating characteristics and their variability for certain types of ensemble methods. Bootstrapping a model can require a huge amount of work if the training data…

机器学习 · 统计学 2017-10-26 Anthony Gamst , Jay-Calvin Reyes , Alden Walker

Mixed-integer programming (MIP) has emerged as a powerful framework for learning optimal decision trees. Yet, existing MIP approaches for regression tasks are either limited to purely binary features or become computationally intractable…

机器学习 · 计算机科学 2025-10-29 Cristobal Heredia , Pedro Chumpitaz-Flores , Kaixun Hua

Decision trees are a popular machine learning model which are traditionally trained by heuristic methods. Massive improvements in computing power and optimisation techniques has led to renewed interest in learning globally optimal decision…

最优化与控制 · 数学 2025-11-25 Mitchell Keegan , Michael Forbes , Paul Corry , Mahdi Abolghasemi

The widespread deployment of deep nets in practical applications has lead to a growing desire to understand how and why such black-box methods perform prediction. Much work has focused on understanding what part of the input pattern (an…

机器学习 · 计算机科学 2023-01-31 Suryabhan Singh Hada , Miguel Á. Carreira-Perpiñán , Arman Zharmagambetov

When randomized ensemble methods such as bagging and random forests are implemented, a basic question arises: Is the ensemble large enough? In particular, the practitioner desires a rigorous guarantee that a given ensemble will perform…

机器学习 · 统计学 2019-08-06 Miles E. Lopes , Suofei Wu , Thomas C. M. Lee