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Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

Machine Learning · Computer Science 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek

Decision trees and their ensembles are very popular models of supervised machine learning. In this paper we merge the ideas underlying decision trees, their ensembles and FCA by proposing a new supervised machine learning model which can be…

Machine Learning · Computer Science 2021-06-02 Egor Dudyrev , Sergei O. Kuznetsov

Model trees provide an appealing way to perform interpretable machine learning for both classification and regression problems. In contrast to ``classic'' decision trees with constant values in their leaves, model trees can use linear…

Machine Learning · Computer Science 2026-03-11 Sabino Francesco Roselli , Eibe Frank

Quantum decision systems are being increasingly considered for use in artificial intelligence applications. Classical and quantum nodes can be distinguished based on certain correlations in their states. This paper investigates some…

Artificial Intelligence · Computer Science 2017-03-13 Subhash Kak

Integrated interpretability without sacrificing the prediction accuracy of decision making algorithms has the potential of greatly improving their value to the user. Instead of assigning a label to an image directly, we propose to learn…

Machine Learning · Computer Science 2021-04-13 Stephan Alaniz , Diego Marcos , Bernt Schiele , Zeynep Akata

Random forests are decision tree ensembles that can be used to solve a variety of machine learning problems. However, as the number of trees and their individual size can be large, their decision making process is often incomprehensible. In…

Artificial Intelligence · Computer Science 2022-11-22 Nico Potyka , Xiang Yin , Francesca Toni

Understanding the decisions of tree-based ensembles and their relationships is pivotal for machine learning model interpretation. Recent attempts to mitigate the human-in-the-loop interpretation challenge have explored the extraction of the…

Machine Learning · Computer Science 2024-04-05 Leonardo Arrighi , Luca Pennella , Gabriel Marques Tavares , Sylvio Barbon Junior

In this manuscript, we show that any neural network with any activation function can be represented as a decision tree. The representation is equivalence and not an approximation, thus keeping the accuracy of the neural network exactly as…

Machine Learning · Computer Science 2022-10-26 Caglar Aytekin

Bayesian Decision Trees are known for their probabilistic interpretability. However, their construction can sometimes be costly. In this article we present a general Bayesian Decision Tree algorithm applicable to both regression and…

Machine Learning · Statistics 2020-09-23 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Andreea-Ingrid Cross

Datasets from several domains, such as life-sciences, semantic web, machine learning, natural language processing, etc. are naturally structured as acyclic graphs. These datasets, particularly those in bio-informatics and computational…

Discrete Mathematics · Computer Science 2014-09-02 Sandeep Gupta

In this paper, we consider classes of decision tables with many-valued decisions closed under operations of removal of columns, changing of decisions, permutation of columns, and duplication of columns. We study relationships among three…

Computational Complexity · Computer Science 2023-04-24 Azimkhon Ostonov , Mikhail Moshkov

Decision trees have been a very popular class of predictive models for decades due to their interpretability and good performance on categorical features. However, they are not always robust and tend to overfit the data. Additionally, if…

Machine Learning · Computer Science 2019-08-14 Oktay Gunluk , Jayant Kalagnanam , Minhan Li , Matt Menickelly , Katya Scheinberg

Recently proposed budding tree is a decision tree algorithm in which every node is part internal node and part leaf. This allows representing every decision tree in a continuous parameter space, and therefore a budding tree can be jointly…

Machine Learning · Computer Science 2014-12-22 Ozan İrsoy , Ethem Alpaydın

We study an abstract notion of tree structure which lies at the common core of various tree-like discrete structures commonly used in combinatorics: trees in graphs, order trees, nested subsets of a set, tree-decompositions of graphs and…

Combinatorics · Mathematics 2017-02-28 Reinhard Diestel

We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

Machine Learning · Statistics 2017-10-27 Rajiv Sambasivan , Sourish Das

Decision trees are a popular technique in statistical data classification. They recursively partition the feature space into disjoint sub-regions until each sub-region becomes homogeneous with respect to a particular class. The basic…

Machine Learning · Statistics 2015-04-15 D. C. Wickramarachchi , B. L. Robertson , M. Reale , C. J. Price , J. Brown

The adoption of the distributed paradigm has allowed applications to increase their scalability, robustness and fault tolerance, but it has also complicated their structure, leading to an exponential growth of the applications'…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-23 Ioannis Giannakopoulos , Dimitrios Tsoumakos , Nectarios Koziris

We present an approach to the solution of decision problems formulated as influence diagrams. This approach involves a special triangulation of the underlying graph, the construction of a junction tree with special properties, and a message…

Artificial Intelligence · Computer Science 2013-02-28 Frank Jensen , Finn Verner Jensen , Soren L. Dittmer