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This paper introduces the centroid decision forest (CDF), a novel ensemble learning framework that redefines the splitting strategy and tree building in the ordinary decision trees for high-dimensional classification. The splitting approach…

Machine Learning · Statistics 2026-01-09 Amjad Ali , Saeed Aldahmani , Hailiang Du , Zardad Khan

Random forests remain among the most popular off-the-shelf supervised machine learning tools with a well-established track record of predictive accuracy in both regression and classification settings. Despite their empirical success as well…

Machine Learning · Statistics 2020-09-15 Lucas Mentch , Siyu Zhou

Decision trees are popular in survival analysis for their interpretability and ability to model complex relationships. Survival trees, which predict the timing of singular events using censored historical data, are typically built through…

Machine Learning · Computer Science 2025-11-24 Antonio Consolo , Edoardo Amaldi , Emilio Carrizosa

Random Forest (RF) is a powerful ensemble method for classification and regression tasks. It consists of decision trees set. Although, a single tree is well interpretable for human, the ensemble of trees is a black-box model. The popular…

Machine Learning · Computer Science 2014-07-17 Piotr Płoński , Krzysztof Zaremba

Random Forest is a machine learning method that offers many advantages, including the ability to easily measure variable importance. Class balancing technique is a well-known solution to deal with class imbalance problem. However, it has…

Machine Learning · Statistics 2023-12-19 Yunbi Nam , Sunwoo Han

We present improved learning-augmented algorithms for finding an approximate minimum spanning tree (MST) for points in an arbitrary metric space. Our work follows a recent framework called metric forest completion (MFC), where the learned…

Data Structures and Algorithms · Computer Science 2026-03-02 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Grace J. Li , Geoffrey Sanders

In this paper, we investigate adaptive nonlinear regression and introduce tree based piecewise linear regression algorithms that are highly efficient and provide significantly improved performance with guaranteed upper bounds in an…

Machine Learning · Computer Science 2013-12-30 N. Denizcan Vanli , Suleyman S. Kozat

We introduce canonical correlation forests (CCFs), a new decision tree ensemble method for classification and regression. Individual canonical correlation trees are binary decision trees with hyperplane splits based on local canonical…

Machine Learning · Statistics 2017-08-10 Tom Rainforth , Frank Wood

We propose a computationally efficient algorithm for gradient-based linear dimension reduction and high-dimensional regression. The algorithm initially computes a Mondrian forest and uses this estimator to identify a relevant feature…

Statistics Theory · Mathematics 2024-07-16 Ricardo Baptista , Eliza O'Reilly , Yangxinyu Xie

Probabilistic-driven classification techniques extend the role of traditional approaches that output labels (usually integer numbers) only. Such techniques are more fruitful when dealing with problems where one is not interested in…

Computer Vision and Pattern Recognition · Computer Science 2016-09-06 Silas E. N. Fernandes , Danillo R. Pereira , Caio C. O. Ramos , Andre N. Souza , Joao P. Papa

With predictive models becoming prevalent, companies are expanding the types of data they gather. As a result, the collected datasets consist not only of simple numerical features but also more complex objects such as time series, images,…

Machine Learning · Computer Science 2025-07-01 Sebastian Chwilczyński , Dariusz Brzezinski

We present convincing empirical evidence for an effective and general strategy for building accurate small models. Such models are attractive for interpretability and also find use in resource-constrained environments. The strategy is to…

Machine Learning · Computer Science 2024-04-30 Abhishek Ghose

The random forest algorithm, proposed by L. Breiman in 2001, has been extremely successful as a general-purpose classification and regression method. The approach, which combines several randomized decision trees and aggregates their…

Statistics Theory · Mathematics 2015-11-19 Gérard Biau , Erwan Scornet

Tree-based models are increasingly popular due to their ability to identify complex relationships that are beyond the scope of parametric models. Survival tree methods adapt these models to allow for the analysis of censored outcomes, which…

Machine Learning · Computer Science 2020-12-09 Dimitris Bertsimas , Jack Dunn , Emma Gibson , Agni Orfanoudaki

Canonical distances such as Euclidean distance often fail to capture the appropriate relationships between items, subsequently leading to subpar inference and prediction. Many algorithms have been proposed for automated learning of suitable…

Machine Learning · Statistics 2020-08-24 Tyler M. Tomita , Joshua T. Vogelstein

We analyze variational inference for highly symmetric graphical models such as those arising from first-order probabilistic models. We first show that for these graphical models, the tree-reweighted variational objective lends itself to a…

Artificial Intelligence · Computer Science 2014-06-23 Hung Hai Bui , Tuyen N. Huynh , David Sontag

We propose new methods for Support Vector Machines (SVMs) using tree architecture for multi-class classi- fication. In each node of the tree, we select an appropriate binary classifier using entropy and generalization error estimation, then…

Machine Learning · Computer Science 2017-08-29 Pittipol Kantavat , Boonserm Kijsirikul , Patoomsiri Songsiri , Ken-ichi Fukui , Masayuki Numao

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

Machine Learning · Computer Science 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

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

We propose to prune a random forest (RF) for resource-constrained prediction. We first construct a RF and then prune it to optimize expected feature cost & accuracy. We pose pruning RFs as a novel 0-1 integer program with linear constraints…

Machine Learning · Statistics 2016-06-17 Feng Nan , Joseph Wang , Venkatesh Saligrama