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We prove that it is NP-hard to properly PAC learn decision trees with queries, resolving a longstanding open problem in learning theory (Bshouty 1993; Guijarro-Lavin-Raghavan 1999; Mehta-Raghavan 2002; Feldman 2016). While there has been a…

Computational Complexity · Computer Science 2023-07-11 Caleb Koch , Carmen Strassle , Li-Yang Tan

Decision trees are a popular family of models due to their attractive properties such as interpretability and ability to handle heterogeneous data. Concurrently, missing data is a prevalent occurrence that hinders performance of machine…

Machine Learning · Computer Science 2020-07-01 Pasha Khosravi , Antonio Vergari , YooJung Choi , Yitao Liang , Guy Van den Broeck

Deep learning's success has been attributed to the training of large, overparameterized models on massive amounts of data. As this trend continues, model training has become prohibitively costly, requiring access to powerful computing…

Machine Learning · Computer Science 2021-11-25 Ravi S Raju , Kyle Daruwalla , Mikko Lipasti

The ever-growing collections of data series create a pressing need for efficient similarity search, which serves as the backbone for various analytics pipelines. Recent studies have shown that tree-based series indexes excel in many…

Databases · Computer Science 2025-02-05 Qitong Wang , Ioana Ileana , Themis Palpanas

Decision trees have been studied extensively in the context of fairness, aiming to maximize prediction performance while ensuring non-discrimination against different groups. Techniques in this space usually focus on imposing constraints at…

Machine Learning · Computer Science 2025-09-04 Kiara Stempel , Mattia Cerrato , Stefan Kramer

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

Decision trees are interpretable models that are well-suited to non-linear learning problems. Much work has been done on extending decision tree learning algorithms with differential privacy, a system that guarantees the privacy of samples…

Machine Learning · Computer Science 2023-10-13 Daniël Vos , Jelle Vos , Tianyu Li , Zekeriya Erkin , Sicco Verwer

The success of convolutional neural networks (CNNs) in various applications is accompanied by a significant increase in computation and parameter storage costs. Recent efforts to reduce these overheads involve pruning and compressing the…

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

We propose novel model transfer-learning methods that refine a decision forest model M learned within a "source" domain using a training set sampled from a "target" domain, assumed to be a variation of the source. We present two random…

Machine Learning · Computer Science 2018-05-01 Noam Segev , Maayan Harel , Shie Mannor , Koby Crammer , Ran El-Yaniv

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…

Machine Learning · Statistics 2021-10-20 Yan Shuo Tan , Abhineet Agarwal , Bin Yu

We propose an approach for learning optimal tree-based prescription policies directly from data, combining methods for counterfactual estimation from the causal inference literature with recent advances in training globally-optimal decision…

Machine Learning · Computer Science 2020-12-07 Maxime Amram , Jack Dunn , Ying Daisy Zhuo

A core step of every algorithm for learning regression trees is the selection of the best splitting variable from the available covariates and the corresponding split point. Early tree algorithms (e.g., AID, CART) employed greedy search…

Methodology · Statistics 2019-06-26 Lisa Schlosser , Torsten Hothorn , Achim Zeileis

Decision-making in complex systems often relies on machine learning models, yet highly accurate models such as XGBoost and neural networks can obscure the reasoning behind their predictions. In operations research applications,…

Machine Learning · Computer Science 2025-02-28 Gaurav Arwade , Sigurdur Olafsson

Tree ensembles are non-parametric methods widely recognized for their accuracy and ability to capture complex interactions. While these models excel at prediction, they are difficult to interpret and may fail to uncover useful relationships…

Machine Learning · Statistics 2026-04-01 Brian Liu , Rahul Mazumder , Peter Radchenko

This paper proposes a new algorithm for learning accurate tree-based models while ensuring the existence of recourse actions. Algorithmic Recourse (AR) aims to provide a recourse action for altering the undesired prediction result given by…

Machine Learning · Computer Science 2024-06-04 Kentaro Kanamori , Takuya Takagi , Ken Kobayashi , Yuichi Ike

Tree ensemble models such as random forests and boosted trees are among the most widely used and practically successful predictive models in applied machine learning and business analytics. Although such models have been used to make…

Optimization and Control · Mathematics 2019-10-11 Velibor V. Mišić

We investigate at decision trees that incorporate both traditional queries based on one attribute and queries based on hypotheses about the values of all attributes. Such decision trees are similar to ones studied in exact learning, where…

Computational Complexity · Computer Science 2022-03-18 Mohammad Azad , Igor Chikalov , Shahid Hussain , Mikhail Moshkov , Beata Zielosko

Data-driven algorithm design is a paradigm that uses statistical and machine learning techniques to select from a class of algorithms for a computational problem an algorithm that has the best expected performance with respect to some…

Machine Learning · Computer Science 2024-06-05 Hongyu Cheng , Sammy Khalife , Barbara Fiedorowicz , Amitabh Basu

Resource-constrained classification tasks are common in real-world applications such as allocating tests for disease diagnosis, hiring decisions when filling a limited number of positions, and defect detection in manufacturing settings…

Machine Learning · Computer Science 2023-11-22 Danit Shifman Abukasis , Izack Cohen , Xiaochen Xian , Kejun Huang , Gonen Singer
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