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Decision trees are prized for their interpretability and strong performance on tabular data. Yet, their reliance on simple axis-aligned linear splits often forces deep, complex structures to capture non-linear feature effects, undermining…

Machine Learning · Computer Science 2025-10-23 Nakul Upadhya , Eldan Cohen

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

Functional data analysis (FDA) and ensemble learning can be powerful tools for analyzing complex environmental time series. Recent literature has highlighted the key role of diversity in enhancing accuracy and reducing variance in ensemble…

Machine Learning · Statistics 2024-09-13 Donato Riccio , Fabrizio Maturo , Elvira Romano

Randomized Controlled Trials (RCTs) represent the gold standard for causal inference yet remain a scarce resource. While large-scale observational data is often available, it is utilized only for retrospective fusion, and remains discarded…

Machine Learning · Statistics 2026-03-05 Erdun Gao , Liang Zhang , Jake Fawkes , Aoqi Zuo , Wenqin Liu , Haoxuan Li , Mingming Gong , Dino Sejdinovic

Ensuring fairness in machine learning remains a significant challenge, as models often inherit biases from their training data. Generative models have recently emerged as a promising approach to mitigate bias at the data level while…

Machine Learning · Computer Science 2025-09-25 Emmanouil Panagiotou , Benoît Ronval , Arjun Roy , Ludwig Bothmann , Bernd Bischl , Siegfried Nijssen , Eirini Ntoutsi

Many real-world systems studied are governed by complex, nonlinear dynamics. By modeling these dynamics, we can gain insight into how these systems work, make predictions about how they will behave, and develop strategies for controlling…

Machine Learning · Statistics 2019-06-05 Josue Nassar , Scott W. Linderman , Monica Bugallo , Il Memming Park

Decision trees are ubiquitous in machine learning for their ease of use and interpretability. Yet, these models are not typically employed in reinforcement learning as they cannot be updated online via stochastic gradient descent. We…

Machine Learning · Computer Science 2020-06-29 Andrew Silva , Taylor Killian , Ivan Dario Jimenez Rodriguez , Sung-Hyun Son , Matthew Gombolay

The high performance of tree ensemble classifiers benefits from a large set of rules, which, in turn, makes the models hard to understand. To improve interpretability, existing methods extract a subset of rules for approximation using model…

Machine Learning · Computer Science 2025-01-03 Zhen Li , Weikai Yang , Jun Yuan , Jing Wu , Changjian Chen , Yao Ming , Fan Yang , Hui Zhang , Shixia Liu

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

D. Wilson~\cite{[Wi]} in the 1990's described a simple and efficient algorithm based on loop-erased random walks to sample uniform spanning trees and more generally weighted trees or forests spanning a given graph. This algorithm provides a…

Probability · Mathematics 2018-08-29 L. Avena , F. Castell , A. Gaudilliere , C. Melot

Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

Machine Learning · Statistics 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

Rule-based models, e.g., decision trees, are widely used in scenarios demanding high model interpretability for their transparent inner structures and good model expressivity. However, rule-based models are hard to optimize, especially on…

Machine Learning · Computer Science 2021-10-01 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang

Understanding the decisions of tree-based ensembles and their relationships is pivotal for machine learning model interpretation. Recent attempts to mitigate the human-in-the-loop interpretation challenge have explored the extraction of the…

Machine Learning · Computer Science 2024-04-05 Leonardo Arrighi , Luca Pennella , Gabriel Marques Tavares , Sylvio Barbon Junior

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

Statistics Theory · Mathematics 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

Uncertainty estimation is crucial for machine learning models to detect out-of-distribution (OOD) inputs. However, the conventional discriminative deep learning classifiers produce uncalibrated closed-set predictions for OOD data. A more…

Federated learning has emerged as a promising distributed learning paradigm that facilitates collaborative learning among multiple parties without transferring raw data. However, most existing federated learning studies focus on either…

Machine Learning · Computer Science 2024-05-01 Qinbin Li , Chulin Xie , Xiaojun Xu , Xiaoyuan Liu , Ce Zhang , Bo Li , Bingsheng He , Dawn Song

Rule-based models, e.g., decision trees, are widely used in scenarios demanding high model interpretability for their transparent inner structures and good model expressivity. However, rule-based models are hard to optimize, especially on…

Machine Learning · Computer Science 2024-01-31 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang

Although deep learning has demonstrated remarkable capability in learning from unstructured data, modern tree-based ensemble models remain superior in extracting relevant information and learning from structured datasets. While several…

Machine Learning · Computer Science 2026-02-05 Yi-Chun Liao , Chieh-Lin Tsai , Yuan-Hao Chang , Camélia Slimani , Jalil Boukhobza , Tei-Wei Kuo

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

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma
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