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Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

Methodology · Statistics 2026-04-14 Soham Bakshi , Snigdha Panigrahi

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

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov

Machine learning-based intrusion detection requires complex models to capture patterns in high-dimensional, noisy, and class-imbalanced raw network traffic, yet deploying such models remains impractical on resource-constrained devices with…

Guiding the design of neural networks is of great importance to save enormous resources consumed on empirical decisions of architectural parameters. This paper constructs shallow sigmoid-type neural networks that achieve 100% accuracy in…

Machine Learning · Computer Science 2019-04-22 Youngjae Min , Hye Won Chung

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

Deep learning stands as the modern paradigm for solving cognitive tasks. However, as the problem complexity increases, models grow deeper and computationally prohibitive, hindering advancements in real-world and resource-constrained…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Gustavo Henrique do Nascimento , Ian Pons , Anna Helena Reali Costa , Artur Jordao

When artificial neural networks have demonstrated exceptional practical success in a variety of domains, investigations into their theoretical characteristics, such as their approximation power, statistical properties, and generalization…

Machine Learning · Statistics 2023-10-06 Shijin Gong , Xinyu Zhang

The increasing use of machine learning in high-stakes domains -- where people's livelihoods are impacted -- creates an urgent need for interpretable, fair, and highly accurate algorithms. With these needs in mind, we propose a mixed integer…

Machine Learning · Computer Science 2023-07-26 Nathanael Jo , Sina Aghaei , Andrés Gómez , Phebe Vayanos

Fair classification has become an important topic in machine learning research. While most bias mitigation strategies focus on neural networks, we noticed a lack of work on fair classifiers based on decision trees even though they have…

Machine Learning · Computer Science 2019-11-19 Vincent Grari , Boris Ruf , Sylvain Lamprier , Marcin Detyniecki

Tree ensemble models like random forests and gradient boosting machines are widely used in machine learning due to their excellent predictive performance. However, a high-performance ensemble consisting of a large number of decision trees…

Machine Learning · Statistics 2024-10-28 Zebin Yang , Agus Sudjianto , Xiaoming Li , Aijun Zhang

Deep neural networks have achieved exceptional results across a range of applications. As the demand for efficient and sparse deep learning models escalates, the significance of model compression, particularly pruning, is increasingly…

Machine Learning · Computer Science 2025-04-01 Yucong Dai , Gen Li , Feng Luo , Xiaolong Ma , Yongkai Wu

The main contribution of this paper is the development of a new decision tree algorithm. The proposed approach allows users to guide the algorithm through the data partitioning process. We believe this feature has many applications but in…

Machine Learning · Statistics 2020-10-27 Cédric Beaulac , Jeffrey S. Rosenthal

Piecewise-constant regression trees remain popular for their interpretability, yet often lag behind black-box models like Random Forest in predictive accuracy. In this work, we introduce TRUST (Transparent, Robust, and Ultra-Sparse Trees),…

Methodology · Statistics 2025-06-23 Albert Dorador

The decision tree is one of the most popular and classical machine learning models from the 1980s. However, in many practical applications, decision trees tend to generate decision paths with excessive depth. Long decision paths often cause…

Machine Learning · Computer Science 2022-11-30 Jialu Zhang , Yitan Wang , Mark Santolucito , Ruzica Piskac

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

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

Decision tree optimization is notoriously difficult from a computational perspective but essential for the field of interpretable machine learning. Despite efforts over the past 40 years, only recently have optimization breakthroughs been…

Machine Learning · Computer Science 2022-11-24 Jimmy Lin , Chudi Zhong , Diane Hu , Cynthia Rudin , Margo Seltzer

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