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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…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

Methodology · Statistics 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

Methodology · Statistics 2015-04-21 Gerhard Tutz , Moritz Berger

Accurate state estimation is of paramount importance to maintain the power system operating in a secure and efficient state. The recently identified coordinated data injection attacks to meter measurements can bypass the current security…

Cryptography and Security · Computer Science 2018-08-19 Suzhi Bi , Ying Jun Zhang

The decision tree is one of the most popular and classical machine learning models from the 1980s. However, in many practical applications, decision trees tend to generate decision paths with excessive depth. Long decision paths often cause…

Machine Learning · Computer Science 2022-11-30 Jialu Zhang , Yitan Wang , Mark Santolucito , Ruzica Piskac

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

Machine Learning · Computer Science 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

Many existing interpretation methods are based on Partial Dependence (PD) functions that, for a pre-trained machine learning model, capture how a subset of the features affects the predictions by averaging over the remaining features.…

Machine Learning · Computer Science 2025-06-05 Jinyang Liu , Tessa Steensgaard , Marvin N. Wright , Niklas Pfister , Munir Hiabu

The ADTool is free, open source software assisting graphical modeling and quantitative analysis of security, using attack-defense trees. The main features of the ADTool are easy creation, efficient editing, and automated bottom-up…

Cryptography and Security · Computer Science 2013-06-12 Barbara Kordy , Piotr Kordy , Sjouke Mauw , Patrick Schweitzer

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

Methodology · Statistics 2026-04-14 Soham Bakshi , Snigdha Panigrahi

We introduce inference trees (ITs), a new class of inference methods that build on ideas from Monte Carlo tree search to perform adaptive sampling in a manner that balances exploration with exploitation, ensures consistency, and alleviates…

Decision trees are one of the most useful and popular methods in the machine learning toolbox. In this paper, we consider the problem of learning optimal decision trees, a combinatorial optimization problem that is challenging to solve at…

Machine Learning · Computer Science 2022-07-01 Rahul Mazumder , Xiang Meng , Haoyue Wang

In context-aware trust evaluation, using ontology tree is a popular approach to represent the relation between contexts. Usually, similarity between two contexts is computed using these trees. Therefore, the performance of trust evaluation…

Other Computer Science · Computer Science 2014-04-18 Mohsen Raeesi , Mohammad Amin Morid , Mehdi Shajari

With the development of incipient technologies, user devices becoming more exposed and ill-used by foes. In upcoming decades, traditional security measures will not be sufficient enough to handle this huge threat towards distributed…

Cryptography and Security · Computer Science 2019-02-13 Md Mehedi Hassan Onik , Nasr Al-Zaben , Hung Phan Hoo , Chul-Soo Kim

This paper presents a new approach for trees-based regression, such as simple regression tree, random forest and gradient boosting, in settings involving correlated data. We show the problems that arise when implementing standard…

Methodology · Statistics 2021-08-09 Assaf Rabinowicz , Saharon Rosset

Regression trees have emerged as a preeminent tool for solving real-world regression problems due to their ability to deal with nonlinearities, interaction effects and sharp discontinuities. In this article, we rather study regression trees…

Machine Learning · Statistics 2025-11-14 Nathan Wycoff

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…

Methodology · Statistics 2025-06-03 Ruotao Zhang , Constantine Gatsonis , Jon Steingrimsson

Accurately estimating personalized treatment effects within a study site (e.g., a hospital) has been challenging due to limited sample size. Furthermore, privacy considerations and lack of resources prevent a site from leveraging…

Machine Learning · Statistics 2022-06-17 Xiaoqing Tan , Chung-Chou H. Chang , Ling Zhou , Lu Tang

In this paper, we introduce new learning algorithms for reducing false positives in intrusion detection. It is based on decision tree-based attribute weighting with adaptive na\"ive Bayesian tree, which not only reduce the false positives…

Cryptography and Security · Computer Science 2010-05-07 Dewan Md. Farid , Mohammad Zahidur Rahman

The efficiency of a query execution plan depends on the accuracy of the selectivity estimates given to the query optimiser by the cost model. The cost model makes simplifying assumptions in order to produce said estimates in a timely…

Databases · Computer Science 2019-07-16 Max Halford , Philippe Saint-Pierre , Frank Morvan

Besides serving as prediction models, classification trees are useful for finding important predictor variables and identifying interesting subgroups in the data. These functions can be compromised by weak split selection algorithms that…

Applications · Statistics 2010-11-03 Wei-Yin Loh