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Decision trees are a crucial class of models offering robust predictive performance and inherent interpretability across various domains, including healthcare, finance, and logistics. However, current tree induction methods often face…

Machine Learning · Computer Science 2025-03-19 Tennison Liu , Nicolas Huynh , Mihaela van der Schaar

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

Decision trees are one of the most popular methods for solving classification problems, mainly because of their good interpretability properties. Moreover, due to advances in recent years in mixed-integer optimization, several models have…

Optimization and Control · Mathematics 2026-05-29 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

This paper presents a novel approach to automatically solving arithmetic word problems. This is the first algorithmic approach that can handle arithmetic problems with multiple steps and operations, without depending on additional…

Computation and Language · Computer Science 2016-08-23 Subhro Roy , Dan Roth

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi

Recent efforts to learn reward functions from human feedback have tended to use deep neural networks, whose lack of transparency hampers our ability to explain agent behaviour or verify alignment. We explore the merits of learning…

Machine Learning · Computer Science 2022-10-04 Tom Bewley , Jonathan Lawry , Arthur Richards , Rachel Craddock , Ian Henderson

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

Machine Learning · Computer Science 2012-06-22 Sebastian Nowozin

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

Nowadays new technologies, and especially artificial intelligence, are more and more established in our society. Big data analysis and machine learning, two sub-fields of artificial intelligence, are at the core of many recent breakthroughs…

Machine Learning · Statistics 2021-06-22 Antonio Sutera

The Learnable Tree Filter presents a remarkable approach to model structure-preserving relations for semantic segmentation. Nevertheless, the intrinsic geometric constraint forces it to focus on the regions with close spatial distance,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Lin Song , Yanwei Li , Zhengkai Jiang , Zeming Li , Xiangyu Zhang , Hongbin Sun , Jian Sun , Nanning Zheng

Meta-embedding (ME) learning is an emerging approach that attempts to learn more accurate word embeddings given existing (source) word embeddings as the sole input. Due to their ability to incorporate semantics from multiple source…

Computation and Language · Computer Science 2022-04-26 Danushka Bollegala , James O'Neill

Symbolic indefinite integration in Computer Algebra Systems such as Maple involves selecting the most effective algorithm from multiple available methods. Not all methods will succeed for a given problem, and when several do, the results,…

Symbolic Computation · Computer Science 2025-08-11 Rashid Barket , Matthew England , Jürgen Gerhard

We present an algorithm for learning decision trees using stochastic gradient information as the source of supervision. In contrast to previous approaches to gradient-based tree learning, our method operates in the incremental learning…

Machine Learning · Statistics 2019-09-25 Henry Gouk , Bernhard Pfahringer , Eibe Frank

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

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

Retrieving relevant targets from an extremely large target set under computational limits is a common challenge for information retrieval and recommendation systems. Tree models, which formulate targets as leaves of a tree with trainable…

Machine Learning · Statistics 2020-06-30 Jingwei Zhuo , Ziru Xu , Wei Dai , Han Zhu , Han Li , Jian Xu , Kun Gai

The potential lack of fairness in the outputs of machine learning algorithms has recently gained attention both within the research community as well as in society more broadly. Surprisingly, there is no prior work developing tree-induction…

Machine Learning · Statistics 2017-12-25 Edward Raff , Jared Sylvester , Steven Mills

Over the past decade, data science and machine learning has grown from a mysterious art form to a staple tool across a variety of fields in academia, business, and government. In this paper, we introduce the concept of tree-based pipeline…

Machine Learning · Computer Science 2016-02-01 Randal S. Olson , Ryan J. Urbanowicz , Peter C. Andrews , Nicole A. Lavender , La Creis Kidd , Jason H. Moore

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

Machine Learning · Statistics 2020-11-03 Edoardo Belli , Simone Vantini