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Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

机器学习 · 计算机科学 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

Several studies have shown that combining machine learning models in an appropriate way will introduce improvements in the individual predictions made by the base models. The key to make well-performing ensemble model is in the diversity of…

机器学习 · 计算机科学 2021-03-01 Mohsen Shahhosseini , Guiping Hu

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from the single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

机器学习 · 计算机科学 2021-02-03 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

Boosted trees is a dominant ML model, exhibiting high accuracy. However, boosted trees are hardly intelligible, and this is a problem whenever they are used in safety-critical applications. Indeed, in such a context, rigorous explanations…

人工智能 · 计算机科学 2022-09-19 Gilles Audemard , Jean-Marie Lagniez , Pierre Marquis , Nicolas Szczepanski

Decision trees are important both as interpretable models amenable to high-stakes decision-making, and as building blocks of ensemble methods such as random forests and gradient boosting. Their statistical properties, however, are not well…

机器学习 · 统计学 2021-10-20 Yan Shuo Tan , Abhineet Agarwal , Bin Yu

Random Forest's performance can be matched by a single slow-growing tree (SGT), which uses a learning rate to tame CART's greedy algorithm. SGT exploits the view that CART is an extreme case of an iterative weighted least square procedure.…

机器学习 · 统计学 2021-07-15 Philippe Goulet Coulombe

Monte-Carlo Tree Search (MCTS) is a family of sampling-based search algorithms widely used for online planning in sequential decision-making domains and at the heart of many recent advances in artificial intelligence. Understanding the…

人工智能 · 计算机科学 2025-09-25 Yiyu Qian , Tim Miller , Zheng Qian , Liyuan Zhao

Decision trees are highly interpretable models for solving classification problems in machine learning (ML). The standard ML algorithms for training decision trees are fast but generate suboptimal trees in terms of accuracy. Other discrete…

机器学习 · 计算机科学 2024-01-24 Krunal Kishor Patel , Guy Desaulniers , Andrea Lodi

Tree ensembles are widely used in industrial machine learning due to their strong predictive performance and efficient training procedures. However, as the number of trees in an ensemble grows, the resulting models become increasingly…

机器学习 · 计算机科学 2026-04-29 Josue Obregon

The increasing use of machine learning in high-stakes domains -- where people's livelihoods are impacted -- creates an urgent need for interpretable, fair, and highly accurate algorithms. With these needs in mind, we propose a mixed integer…

机器学习 · 计算机科学 2023-07-26 Nathanael Jo , Sina Aghaei , Andrés Gómez , Phebe Vayanos

Random Forest (RF) is well-known as an efficient ensemble learning method in terms of predictive performance. It is also considered a Black Box because of its hundreds of deep decision trees. This lack of interpretability can be a real…

机器学习 · 计算机科学 2024-03-27 Haddouchi Maissae , Berrado Abdelaziz

We consider a chance-constrained multi-robot motion planning problem in the presence of Gaussian motion and sensor noise. Our proposed algorithm, CC-K-CBS, leverages the scalability of kinodynamic conflict-based search (K-CBS) in…

机器人学 · 计算机科学 2023-08-09 Anne Theurkauf , Justin Kottinger , Nisar Ahmed , Morteza Lahijanian

Today, as increasingly complex predictive models are developed, simple rule sets remain a crucial tool to obtain interpretable predictions and drive high-stakes decision making. However, a single rule set provides a partial representation…

机器学习 · 计算机科学 2024-06-06 Martino Ciaperoni , Han Xiao , Aristides Gionis

Decision tree optimization is notoriously difficult from a computational perspective but essential for the field of interpretable machine learning. Despite efforts over the past 40 years, only recently have optimization breakthroughs been…

机器学习 · 计算机科学 2022-11-24 Jimmy Lin , Chudi Zhong , Diane Hu , Cynthia Rudin , Margo Seltzer

We initiate the study of tree structures in the context of scenario-based robust optimization. Specifically, we study Binary Search Trees (BSTs) and Huffman coding, two fundamental techniques for efficiently managing and encoding data based…

数据结构与算法 · 计算机科学 2024-08-22 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Georgii Melidi

Trees are useful entities allowing to model data structures and hierarchical relationships in networked decision systems ubiquitously. An ordered tree is a rooted tree where the order of the subtrees (children) of a node is significant. In…

数据结构与算法 · 计算机科学 2020-11-10 Victor Parque , Tomoyuki Miyashita

Rule ensembles are designed to provide a useful trade-off between predictive accuracy and model interpretability. However, the myopic and random search components of current rule ensemble methods can compromise this goal: they often need…

机器学习 · 计算机科学 2021-01-22 Mario Boley , Simon Teshuva , Pierre Le Bodic , Geoffrey I Webb

In this paper, we introduce the increasing belief criterion in association rule mining. The criterion uses a recursive application of Bayes' theorem to compute a rule's belief. Extracted rules are required to have their belief increase with…

人工智能 · 计算机科学 2020-01-15 Luis Ignacio Lopera González , Adrian Derungs , Oliver Amft

We provide a microeconomic framework for decision trees: a popular machine learning method. Specifically, we show how decision trees represent a non-compensatory decision protocol known as disjunctions-of-conjunctions and how this protocol…

应用统计 · 统计学 2017-11-15 Timothy Brathwaite , Akshay Vij , Joan L. Walker

Net-trees are a general purpose data structure for metric data that have been used to solve a wide range of algorithmic problems. We give a simple randomized algorithm to construct net-trees on doubling metrics using $O(n\log n)$ time in…

计算几何 · 计算机科学 2018-09-06 Mahmoodreza Jahanseir , Donald R. Sheehy