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Tree-based regression and classification has become a standard tool in modern data science. Bayesian Additive Regression Trees (BART) has in particular gained wide popularity due its flexibility in dealing with interactions and non-linear…

Computation · Statistics 2022-09-13 Alan Inglis , Andrew Parnell , Catherine Hurley

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

In this paper, we introduce a new approach to multiclass classification problem. We decompose the problem into a series of regression tasks, that are solved with CART trees. The proposed method works significantly faster than…

Machine Learning · Computer Science 2019-09-12 Igor E. Kuralenok , Yurii Rebryk , Ruslan Solovev , Anton Ermilov

Bayesian Additive Regression Trees (BART) is a tree-based machine learning method that has been successfully applied to regression and classification problems. BART assumes regularisation priors on a set of trees that work as weak learners…

Machine Learning · Statistics 2022-06-07 Estevão B. Prado , Rafael A. Moral , Andrew C. Parnell

Undirected graphical models encode in a graph $G$ the dependency structure of a random vector $Y$. In many applications, it is of interest to model $Y$ given another random vector $X$ as input. We refer to the problem of estimating the…

Machine Learning · Statistics 2010-06-22 Han Liu , Xi Chen , John Lafferty , Larry Wasserman

Discovering interpretable patterns for classification of sequential data is of key importance for a variety of fields, ranging from genomics to fraud detection or more generally interpretable decision-making. In this paper, we propose a…

Machine Learning · Computer Science 2023-02-23 Marine Collery , Philippe Bonnard , François Fages , Remy Kusters

We propose a novel approach to enhance the discriminability of Convolutional Neural Networks (CNN). The key idea is to build a tree structure that could progressively learn fine-grained features to distinguish a subset of classes, by…

Computer Vision and Pattern Recognition · Computer Science 2017-09-25 Zhenhua Wang , Xingxing Wang , Gang Wang

In order to develop reliable services using machine learning, it is important to understand the uncertainty of the model outputs. Often the probability distribution that the prediction target follows has a complex shape, and a mixture…

Machine Learning · Computer Science 2021-05-11 Ryuichi Kanoh , Tomu Yanabe

Machine learning models used in medical applications often face challenges due to the covariate shift, which occurs when there are discrepancies between the distributions of training and target data. This can lead to decreased predictive…

Machine Learning · Computer Science 2024-12-24 Mingyang Cai , Thomas Klausch , Mark A. van de Wiel

Decision trees are a widely used method for classification, both by themselves and as the building blocks of multiple different ensemble learning methods. The Max-Cut decision tree involves novel modifications to a standard, baseline model…

Machine Learning · Computer Science 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

This work introduces a novel interpretable machine learning method called Mixture of Decision Trees (MoDT). It constitutes a special case of the Mixture of Experts ensemble architecture, which utilizes a linear model as gating function and…

Machine Learning · Computer Science 2022-11-29 Simeon Brüggenjürgen , Nina Schaaf , Pascal Kerschke , Marco F. Huber

Building models of human decision-making from observed behaviour is critical to better understand, diagnose and support real-world policies such as clinical care. As established policy learning approaches remain focused on imitation…

Machine Learning · Computer Science 2022-10-03 Alizée Pace , Alex J. Chan , Mihaela van der Schaar

Decision tree learning is increasingly being used for pointwise inference. Important applications include causal heterogenous treatment effects and dynamic policy decisions, as well as conditional quantile regression and design of…

Machine Learning · Statistics 2024-02-08 Matias D. Cattaneo , Jason M. Klusowski , Peter M. Tian

We first present our view of detection and correction of syntactic errors. We then introduce a new correction method, based on heuristic criteria used to decide which correction should be preferred. Weighting of these criteria leads to a…

cmp-lg · Computer Science 2009-09-25 Damien Genthial , Jacques Courtin , Jacques Menezo Equipe Trilan

Categorical sequence clustering plays a crucial role in various fields, but the lack of interpretability in cluster assignments poses significant challenges. Sequences inherently lack explicit features, and existing sequence clustering…

Machine Learning · Computer Science 2023-09-06 Junjie Dong , Xinyi Yang , Mudi Jiang , Lianyu Hu , Zengyou He

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

Traditionally, for most machine learning settings, gaining some degree of explainability that tries to give users more insights into how and why the network arrives at its predictions, restricts the underlying model and hinders performance…

Machine Learning · Computer Science 2021-04-06 Robin M. Schmidt

While neural networks are powerful approximators used to classify or embed data into lower dimensional spaces, they are often regarded as black boxes with uninterpretable features. Here we propose Graph Spectral Regularization for making…

We seek to provide an interpretable framework for segmenting users in a population for personalized decision-making. We propose a general methodology, Market Segmentation Trees (MSTs), for learning market segmentations explicitly driven by…

Applications · Statistics 2023-01-16 Ali Aouad , Adam N. Elmachtoub , Kris J. Ferreira , Ryan McNellis