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Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

We study online boosting, the task of converting any weak online learner into a strong online learner. Based on a novel and natural definition of weak online learnability, we develop two online boosting algorithms. The first algorithm is an…

Machine Learning · Computer Science 2015-02-10 Alina Beygelzimer , Satyen Kale , Haipeng Luo

We analyze a tree search problem with an underlying Markov decision process, in which the goal is to identify the best action at the root that achieves the highest cumulative reward. We present a new tree policy that optimally allocates a…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Yunchuan Li , Michael C. Fu , Jie Xu

We investigate boosted online regression and propose a novel family of regression algorithms with strong theoretical bounds. In addition, we implement several variants of the proposed generic algorithm. We specifically provide theoretical…

Statistics Theory · Mathematics 2016-12-07 Dariush Kari , Farhan Khan , Selami Ciftci , Suleyman Serdar Kozat

We give the first algorithm that maintains an approximate decision tree over an arbitrary sequence of insertions and deletions of labeled examples, with strong guarantees on the worst-case running time per update request. For instance, we…

Data Structures and Algorithms · Computer Science 2023-02-13 Marco Bressan , Mauro Sozio

Boosting is a method for finding a highly accurate hypothesis by linearly combining many ``weak" hypotheses, each of which may be only moderately accurate. Thus, boosting is a method for learning an ensemble of classifiers. While boosting…

Machine Learning · Computer Science 2021-07-30 Sai Saketh Rambhatla , Michael Jones , Rama Chellappa

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.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

Gradient Boosted Decision Trees (GBDT) is a very successful ensemble learning algorithm widely used across a variety of applications. Recently, several variants of GBDT training algorithms and implementations have been designed and heavily…

Machine Learning · Computer Science 2019-06-27 Yu Shi , Jian Li , Zhize Li

Additive models, such as produced by gradient boosting, and full interaction models, such as classification and regression trees (CART), are widely used algorithms that have been investigated largely in isolation. We show that these models…

Decision tree is an effective classification approach in data mining and machine learning. In applications, test costs and misclassification costs should be considered while inducing decision trees. Recently, some cost-sensitive learning…

Artificial Intelligence · Computer Science 2012-11-20 Zilong Xu , Fan Min , William Zhu

In bandit best-arm identification, an algorithm is tasked with finding the arm with highest mean reward with a specified accuracy as fast as possible. We study multi-fidelity best-arm identification, in which the algorithm can choose to…

Machine Learning · Computer Science 2025-05-27 Riccardo Poiani , Rémy Degenne , Emilie Kaufmann , Alberto Maria Metelli , Marcello Restelli

There has been a lot of recent work on Bayesian methods for reinforcement learning exhibiting near-optimal online performance. The main obstacle facing such methods is that in most problems of interest, the optimal solution involves…

Machine Learning · Computer Science 2009-12-31 Christos Dimitrakakis

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

Data Structures and Algorithms · Computer Science 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell

Boosting is an extremely successful idea, allowing one to combine multiple low accuracy classifiers into a much more accurate voting classifier. In this work, we present a new and surprisingly simple Boosting algorithm that obtains a…

Machine Learning · Computer Science 2024-09-02 Mikael Møller Høgsgaard , Kasper Green Larsen , Markus Engelund Mathiasen

We present a new tree boosting algorithm designed for the measurement of parameters in the context of effective field theory (EFT). To construct the algorithm, we interpret the optimized loss function of a traditional decision tree as the…

High Energy Physics - Phenomenology · Physics 2022-05-25 Suman Chatterjee , Nikolaus Frohner , Lukas Lechner , Robert Schöfbeck , Dennis Schwarz

Gradient Boosted Decision Trees (GBDTs) are dominant machine learning algorithms for modeling discrete or tabular data. Unlike neural networks with millions of trainable parameters, GBDTs optimize loss function in an additive manner and…

Machine Learning · Computer Science 2022-11-22 Jean Pachebat , Sergei Ivanov

Research in reinforcement learning has produced algorithms for optimal decision making under uncertainty that fall within two main types. The first employs a Bayesian framework, where optimality improves with increased computational time.…

Machine Learning · Statistics 2011-09-22 Christos Dimitrakakis

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

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…

Artificial Intelligence · Computer Science 2022-09-19 Gilles Audemard , Jean-Marie Lagniez , Pierre Marquis , Nicolas Szczepanski

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…

Machine Learning · Computer Science 2022-11-24 Jimmy Lin , Chudi Zhong , Diane Hu , Cynthia Rudin , Margo Seltzer