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Neural networks and tree ensembles are state-of-the-art learners, each with its unique statistical and computational advantages. We aim to combine these advantages by introducing a new layer for neural networks, composed of an ensemble of…

Machine Learning · Computer Science 2020-07-14 Hussein Hazimeh , Natalia Ponomareva , Petros Mol , Zhenyu Tan , Rahul Mazumder

In many applications of supervised learning, multiple classification or regression outputs have to be predicted jointly. We consider several extensions of gradient boosting to address such problems. We first propose a straightforward…

Machine Learning · Statistics 2019-05-21 Arnaud Joly , Louis Wehenkel , Pierre Geurts

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

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

Methodology · Statistics 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

Sparse decision tree learning provides accurate and interpretable predictive models that are ideal for high-stakes applications by finding the single most accurate tree within a (soft) size limit. Rather than relying on a single "best"…

Machine Learning · Computer Science 2025-11-06 Elif Arslan , Jacobus G. M. van der Linden , Serge Hoogendoorn , Marco Rinaldi , Emir Demirović

Given the high computational complexity of decision tree estimation, classical methods construct a tree by adding one node at a time in a recursive way. To facilitate promoting fairness, we propose a fairness criterion local to the tree…

Machine Learning · Computer Science 2025-04-28 Andrea Quintanilla , Johan Van Horebeek

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

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

Decision trees are a popular choice of explainable model, but just like neural networks, they suffer from adversarial examples. Existing algorithms for fitting decision trees robust against adversarial examples are greedy heuristics and…

Machine Learning · Computer Science 2021-09-10 Daniël Vos , Sicco Verwer

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

Machine Learning · Computer Science 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek

Decision Trees have remained a popular machine learning method for tabular datasets, mainly due to their interpretability. However, they lack the expressiveness needed to handle highly nonlinear or unstructured datasets. Motivated by recent…

Machine Learning · Computer Science 2024-10-30 Dimitris Bertsimas , Lisa Everest , Jiayi Gu , Matthew Peroni , Vasiliki Stoumpou

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

Methodology · Statistics 2021-08-27 Hao Ran , Yang Bai

Joint distributions over many variables are frequently modeled by decomposing them into products of simpler, lower-dimensional conditional distributions, such as in sparsely connected Bayesian networks. However, automatically learning such…

Machine Learning · Computer Science 2013-01-07 Scott Davies , Andrew Moore

Soft random sampling (SRS) is a simple yet effective approach for efficient training of large-scale deep neural networks when dealing with massive data. SRS selects a subset uniformly at random with replacement from the full data set in…

Machine Learning · Computer Science 2023-11-27 Xiaodong Cui , Ashish Mittal , Songtao Lu , Wei Zhang , George Saon , Brian Kingsbury

Accurately segmenting a citation string into fields for authors, titles, etc. is a challenging task because the output typically obeys various global constraints. Previous work has shown that modeling soft constraints, where the model is…

Computation and Language · Computer Science 2014-10-20 Sam Anzaroot , Alexandre Passos , David Belanger , Andrew McCallum

This paper shows that decision trees constructed with Classification and Regression Trees (CART) and C4.5 methodology are consistent for regression and classification tasks, even when the number of predictor variables grows…

Machine Learning · Statistics 2023-11-15 Jason M. Klusowski , Peter M. Tian

Inspired by the feedforward multilayer perceptron (FF-MLP), decision tree (DT) and extreme learning machine (ELM), a new classification model, called the subspace learning machine (SLM), is proposed in this work. SLM first identifies a…

Machine Learning · Computer Science 2022-05-12 Hongyu Fu , Yijing Yang , Vinod K. Mishra , C. -C. Jay Kuo

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

Domestic violence (DV) is a global social and public health issue that is highly gendered. Being able to accurately predict DV recidivism, i.e., re-offending of a previously convicted offender, can speed up and improve risk assessment…

Machine Learning · Computer Science 2018-03-28 Senuri Wijenayake , Timothy Graham , Peter Christen
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