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In machine learning ensemble methods have demonstrated high accuracy for the variety of problems in different areas. Two notable ensemble methods widely used in practice are gradient boosting and random forests. In this paper we present…

Machine Learning · Statistics 2018-09-24 Alex Rogozhnikov , Tatiana Likhomanenko

Tree ensembles are one of the most widely used model classes. However, these models are susceptible to adversarial examples, i.e., slightly perturbed examples that elicit a misprediction. There has been significant research on designing…

Machine Learning · Computer Science 2024-02-14 Lorenzo Cascioli , Laurens Devos , Ondřej Kuželka , Jesse Davis

Tree ensembles are widely used in industrial machine learning due to their strong predictive performance and efficient training procedures. However, as the number of trees in an ensemble grows, the resulting models become increasingly…

Machine Learning · Computer Science 2026-04-29 Josue Obregon

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

Machine Learning · Computer Science 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

Machine Learning · Computer Science 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

Behavior Trees are commonly used to model agents for robotics and games, where constrained behaviors must be designed by human experts in order to guarantee that these agents will execute a specific chain of actions given a specific set of…

Artificial Intelligence · Computer Science 2015-06-09 Renato de Pontes Pereira , Paulo Martins Engel

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

Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision trees, random forests, and Bayesian CART. Two potential…

Methodology · Statistics 2018-09-18 Antonio Ricardo Linero , Yun Yang

High-dimensional policies, such as those represented by neural networks, cannot be reasonably interpreted by humans. This lack of interpretability reduces the trust users have in policy behavior, limiting their use to low-impact tasks such…

Machine Learning · Computer Science 2021-09-20 John Mern , Sidhart Krishnan , Anil Yildiz , Kyle Hatch , Mykel J. Kochenderfer

When choosing a suitable technique for regression and classification with multivariate predictor variables, one is often faced with a tradeoff between interpretability and high predictive accuracy. To give a classical example,…

Machine Learning · Statistics 2011-01-10 Nicolai Meinshausen

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

A variety of methods have been proposed for interpreting nodes in deep neural networks, which typically involve scoring nodes at lower layers with respect to their effects on the output of higher-layer nodes (where lower and higher layers…

Machine Learning · Computer Science 2018-12-04 Jonathan Warrell , Hussein Mohsen , Mark Gerstein

Ensemble methods are among the state-of-the-art predictive modeling approaches. Applied to modern big data, these methods often require a large number of sub-learners, where the complexity of each learner typically grows with the size of…

Machine Learning · Computer Science 2018-10-29 Amichai Painsky , Saharon Rosset

Predicting rare outcomes such as startup success is central to venture capital, demanding models that are both accurate and interpretable. We introduce Random Rule Forest (RRF), a lightweight ensemble method that uses a large language model…

Artificial Intelligence · Computer Science 2025-09-17 Ben Griffin , Diego Vidaurre , Ugur Koyluoglu , Joseph Ternasky , Fuat Alican , Yigit Ihlamur

Prototype-based methods use interpretable representations to address the black-box nature of deep learning models, in contrast to post-hoc explanation methods that only approximate such models. We propose the Neural Prototype Tree…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Meike Nauta , Ron van Bree , Christin Seifert

One can often make inferences about a growing network from its current state alone. For example, it is generally possible to determine how a network changed over time or pick among plausible mechanisms explaining its growth. In practice,…

Social and Information Networks · Computer Science 2021-01-27 George T. Cantwell , Guillaume St-Onge , Jean-Gabriel Young

Tree-structured neural networks encode a particular tree geometry for a sentence in the network design. However, these models have at best only slightly outperformed simpler sequence-based models. We hypothesize that neural sequence models…

Computation and Language · Computer Science 2015-11-10 Samuel R. Bowman , Christopher D. Manning , Christopher Potts

Random Forest (Breiman, 2001) is a successful and widely used regression and classification algorithm. Part of its appeal and reason for its versatility is its (implicit) construction of a kernel-type weighting function on training data,…

Machine Learning · Statistics 2022-10-13 Domagoj Ćevid , Loris Michel , Jeffrey Näf , Nicolai Meinshausen , Peter Bühlmann

In modern industrial collaborative robotic applications, it is desirable to create robot programs automatically, intuitively, and time-efficiently. Moreover, robots need to be controlled by reactive policies to face the unpredictability of…

Robotics · Computer Science 2023-03-21 Matteo Iovino , Jonathan Styrud , Pietro Falco , Christian Smith

We propose a tree regularization framework, which enables many tree models to perform feature selection efficiently. The key idea of the regularization framework is to penalize selecting a new feature for splitting when its gain (e.g.…

Machine Learning · Computer Science 2012-03-22 Houtao Deng , George Runger