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We present an information-theoretic framework for understanding overfitting and underfitting in machine learning and prove the formal undecidability of determining whether an arbitrary classification algorithm will overfit a dataset.…

Machine Learning · Computer Science 2020-11-10 Daniel Bashir , George D. Montanez , Sonia Sehra , Pedro Sandoval Segura , Julius Lauw

Policy tree search is a family of tree search algorithms that use a policy to guide the search. These algorithms provide guarantees on the number of expansions required to solve a given problem that are based on the quality of the policy.…

Artificial Intelligence · Computer Science 2025-12-03 Jake Tuero , Michael Buro , Levi H. S. Lelis

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

The issue of data-driven neural network model construction is one of the core problems in the domain of Artificial Intelligence. A standard approach assumes a fixed architecture with trainable weights. A conceptually more advanced…

Machine Learning · Computer Science 2025-07-03 Szymon Świderski , Agnieszka Jastrzębska

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

Deep neural networks exhibit a simplicity bias, a well-documented tendency to favor simple functions over complex ones. In this work, we cast new light on this phenomenon through the lens of the Minimum Description Length principle,…

Recent research put a big effort in the development of deep learning architectures and optimizers obtaining impressive results in areas ranging from vision to language processing. However little attention has been addressed to the need of a…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Gabriele Valvano , Andrea Leo , Daniele Della Latta , Nicola Martini , Gianmarco Santini , Dante Chiappino , Emiliano Ricciardi

Decision tree is an important method for both induction research and data mining, which is mainly used for model classification and prediction. ID3 algorithm is the most widely used algorithm in the decision tree so far. In this paper, the…

Machine Learning · Computer Science 2016-12-02 Singh Vijendra , Hemjyotsana Parashar , Nisha Vasudeva

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

A new nonparametric approach, based on a decision tree algorithm, is proposed to calculate the overlap between two probability distributions. The devised framework is described analytically and numerically. The convergence of the estimated…

Statistics Theory · Mathematics 2022-11-28 Hisashi Johno , Kazunori Nakamoto

We present an algorithm, called the Offset Tree, for learning to make decisions in situations where the payoff of only one choice is observed, rather than all choices. The algorithm reduces this setting to binary classification, allowing…

Machine Learning · Computer Science 2016-04-05 Alina Beygelzimer , John Langford

We introduce a novel incremental decision tree learning algorithm, Hoeffding Anytime Tree, that is statistically more efficient than the current state-of-the-art, Hoeffding Tree. We demonstrate that an implementation of Hoeffding Anytime…

Machine Learning · Computer Science 2018-02-27 Chaitanya Manapragada , Geoff Webb , Mahsa Salehi

Decision forests, including random forests and gradient boosting trees, remain the leading machine learning methods for many real-world data problems, especially on tabular data. However, most of the current implementations only operate in…

Machine Learning · Computer Science 2025-06-27 Haoyin Xu , Jayanta Dey , Sambit Panda , Joshua T. Vogelstein

The decision tree is one of the most fundamental programming abstractions. A commonly used type of decision tree is the alphabetic binary tree, which uses (without loss of generality) ``less than'' versus ''greater than or equal to'' tests…

Performance · Computer Science 2007-07-13 Michael B. Baer

Over-parameterized neural network models often lead to significant performance discrepancies between training and test sets, a phenomenon known as overfitting. To address this, researchers have proposed numerous regularization techniques…

Machine Learning · Computer Science 2025-01-27 RuiZhe Jiang , Haotian Lei

Decision Trees are some of the most popular machine learning models today due to their out-of-the-box performance and interpretability. Often, Decision Trees models are constructed greedily in a top-down fashion via heuristic search…

Machine Learning · Computer Science 2023-02-16 Colin Sullivan , Mo Tiwari , Sebastian Thrun , Chris Piech

Overparameterization and overfitting are common concerns when designing and training deep neural networks, that are often counteracted by pruning and regularization strategies. However, these strategies remain secondary to most learning…

Machine Learning · Computer Science 2020-09-01 Malena Reiners , Kathrin Klamroth , Michael Stiglmayr

Deep neural networks and decision trees operate on largely separate paradigms; typically, the former performs representation learning with pre-specified architectures, while the latter is characterised by learning hierarchies over…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Ryutaro Tanno , Kai Arulkumaran , Daniel C. Alexander , Antonio Criminisi , Aditya Nori

While artificial intelligence (AI)-based decision-making systems are increasingly popular, significant concerns on the potential discrimination during the AI decision-making process have been observed. For example, the distribution of…

Machine Learning · Computer Science 2025-08-05 Wenbin Zhang

Decision trees and models that use them as primitives are workhorses of machine learning in Euclidean spaces. Recent work has further extended these models to the Lorentz model of hyperbolic space by replacing axis-parallel hyperplanes with…

Machine Learning · Computer Science 2025-06-06 Philippe Chlenski , Itsik Pe'er
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