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Random forests have long been considered as powerful model ensembles in machine learning. By training multiple decision trees, whose diversity is fostered through data and feature subsampling, the resulting random forest can lead to more…

Artificial Intelligence · Computer Science 2021-08-12 Gilles Audemard , Steve Bellart , Louenas Bounia , Frédéric Koriche , Jean-Marie Lagniez , Pierre Marquis

Random forests construct each tree with a different, randomised representation of the feature space. Their uniform voting cannot correct errors in regions where trees with incorrect representations probabilistically outnumber correct ones,…

Machine Learning · Computer Science 2026-05-28 Youngjoon Park

We propose the first branch-&-price algorithm for the maximum agreement forest problem on unrooted binary trees: given two unrooted X-labelled binary trees we seek to partition X into a minimum number of blocks such that the induced…

Data Structures and Algorithms · Computer Science 2024-10-08 Martin Frohn , Steven Kelk , Simona Vychytilova

We consider the problem of \emph{pruning} a classification tree, that is, selecting a suitable subtree that balances bias and variance, in common situations with inhomogeneous training data. Namely, assuming access to mostly data from a…

Machine Learning · Statistics 2023-06-23 Nicholas Galbraith , Samory Kpotufe

We present an axiomatic framework for analyzing the algorithmic properties of decision trees. This framework supports the classification of decision tree problems through structural and ancestral constraints within a rigorous mathematical…

Machine Learning · Computer Science 2025-10-24 Xi He , Max A. Little

We consider an expected-value ranking and selection (R&S) problem where all k solutions' simulation outputs depend on a common parameter whose uncertainty can be modeled by a distribution. We define the most probable best (MPB) to be the…

Methodology · Statistics 2024-04-23 Taeho Kim , Kyoung-kuk Kim , Eunhye Song

Following the line of classification-based two-sample testing, tests based on the Random Forest classifier are proposed. The developed tests are easy to use, require almost no tuning, and are applicable for any distribution on…

Methodology · Statistics 2021-05-07 Simon Hediger , Loris Michel , Jeffrey Näf

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

Machine Learning · Computer Science 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

Binary classification based on predicted probabilities (scores) is a fundamental task in supervised machine learning. While thresholding scores is Bayes-optimal in the unconstrained setting, using a single threshold generally violates…

Machine Learning · Computer Science 2026-02-10 Etam Benger , Katrina Ligett

Tackling simulation optimization problems with non-convex objective functions remains a fundamental challenge in operations research. In this paper, we propose a class of random search algorithms, called Regular Tree Search, which…

Optimization and Control · Mathematics 2025-06-24 Du-Yi Wang , Guo Liang , Guangwu Liu , Kun Zhang

We make three contributions in this paper. First, we present an approach for compiling a random forest classifier into a set of circuits, where each circuit directly encodes the instances in some class of the classifier. We show empirically…

Artificial Intelligence · Computer Science 2026-03-17 Chunxi Ji , Adnan Darwiche

Random Forest remains one of Data Mining's most enduring ensemble algorithms, achieving well-documented levels of accuracy and processing speed, as well as regularly appearing in new research. However, with data mining now reaching the…

Machine Learning · Computer Science 2020-04-07 Darren Yates , Md Zahidul Islam

Neural Networks and Decision Trees: two popular techniques for supervised learning that are seemingly disconnected in their formulation and optimization method, have recently been combined in a single construct. The connection pivots on…

Machine Learning · Statistics 2020-02-27 Giuseppe Nuti , Lluís Antoni Jiménez Rugama , Kaspar Thommen

Binary segmentation is the classic greedy algorithm which recursively splits a sequential data set by optimizing some loss or likelihood function. Binary segmentation is widely used for changepoint detection in data sets measured over space…

Machine Learning · Computer Science 2024-10-14 Toby Dylan Hocking

We propose a principled method for autoencoding with random forests. Our strategy builds on foundational results from nonparametric statistics and spectral graph theory to learn a low-dimensional embedding of the model that optimally…

Machine Learning · Statistics 2026-01-16 Binh Duc Vu , Jan Kapar , Marvin Wright , David S. Watson

Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

Tree shape statistics quantify some aspect of the shape of a phylogenetic tree. They are commonly used to compare reconstructed trees to evolutionary models and to find evidence of tree reconstruction bias. Historically, to find a useful…

Populations and Evolution · Quantitative Biology 2007-05-23 Frederick A. Matsen

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

When digitizing a print bilingual dictionary, whether via optical character recognition or manual entry, it is inevitable that errors are introduced into the electronic version that is created. We investigate automating the process of…

Computation and Language · Computer Science 2014-11-03 Michael Bloodgood , Peng Ye , Paul Rodrigues , David Zajic , David Doermann

The robustification of pattern recognition techniques has been the subject of intense research in recent years. Despite the multiplicity of papers on the subject, very few articles have deeply explored the topic of robust classification in…

Applications · Statistics 2015-01-06 Necla Gunduz , Ernest Fokoue