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In this work, we propose the novel Prototypical Graph Regression Self-explainable Trees (ProGReST) model, which combines prototype learning, soft decision trees, and Graph Neural Networks. In contrast to other works, our model can be used…

Quantitative Methods · Quantitative Biology 2022-12-29 Dawid Rymarczyk , Daniel Dobrowolski , Tomasz Danel

Decision trees are one of the most useful and popular methods in the machine learning toolbox. In this paper, we consider the problem of learning optimal decision trees, a combinatorial optimization problem that is challenging to solve at…

Machine Learning · Computer Science 2022-07-01 Rahul Mazumder , Xiang Meng , Haoyue Wang

Decision trees and their ensembles are endowed with a rich set of diagnostic tools for ranking and screening variables in a predictive model. Despite the widespread use of tree based variable importance measures, pinning down their…

Machine Learning · Statistics 2020-12-14 Jason M. Klusowski , Peter M. Tian

Decision trees are widely used in high-stakes fields like finance and healthcare due to their interpretability. This work introduces an efficient, scalable method for generating synthetic pre-training data to enable meta-learning of…

Machine Learning · Computer Science 2025-11-07 Kyaw Hpone Myint , Zhe Wu , Alexandre G. R. Day , Giri Iyengar

The $\texttt{torch-choice}$ is an open-source library for flexible, fast choice modeling with Python and PyTorch. $\texttt{torch-choice}$ provides a $\texttt{ChoiceDataset}$ data structure to manage databases flexibly and…

Machine Learning · Computer Science 2025-06-05 Tianyu Du , Ayush Kanodia , Susan Athey

This research paper investigates the effectiveness of simple linear models versus complex machine learning techniques in breast cancer diagnosis, emphasizing the importance of interpretability and computational efficiency in the medical…

Machine Learning · Computer Science 2023-06-06 Muhammad Arbab Arshad , Sakib Shahriar , Khizar Anjum

It is common that a trained classification model is applied to the operating data that is deviated from the training data because of noise. This paper demonstrates that an ensemble classifier, Diversified Multiple Tree (DMT), is more robust…

Machine Learning · Computer Science 2017-06-27 Jiuyong Li , Lin Liu , Jixue Liu , Ryan Green

While normalizing flows for continuous data have been extensively researched, flows for discrete data have only recently been explored. These prior models, however, suffer from limitations that are distinct from those of continuous flows.…

Machine Learning · Computer Science 2022-07-06 Mai Elkady , Jim Lim , David I. Inouye

Classification and Regression Tree (CART), Random Forest (RF) and Gradient Boosting Tree (GBT) are probably the most popular set of statistical learning methods. However, their statistical consistency can only be proved under very…

Statistics Theory · Mathematics 2025-02-17 Haoran Zhan , Yu Liu , Yingcun Xia

Machine learning techniques have been used in the past using Monte Carlo samples to construct predictors of the dynamic stability of power systems. In this paper we move beyond the task of prediction and propose a comprehensive approach to…

Systems and Control · Computer Science 2019-08-09 Jochen L. Cremer , Ioannis Konstantelos , Simon H. Tindemans , Goran Strbac

Due to the great potential in facilitating software development, code generation has attracted increasing attention recently. Generally, dominant models are Seq2Tree models, which convert the input natural language description into a…

Computation and Language · Computer Science 2021-06-02 Hui Jiang , Chulun Zhou , Fandong Meng , Biao Zhang , Jie Zhou , Degen Huang , Qingqiang Wu , Jinsong Su

Decision trees are a fundamental tool in machine learning for representing, classifying, and generalizing data. It is desirable to construct ``small'' decision trees, by minimizing either the \textit{size} ($s$) or the \textit{depth} $(d)$…

Machine Learning · Computer Science 2025-05-22 Harmender Gahlawat , Meirav Zehavi

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

There has been a considerable interest in constrained training of deep neural networks (DNNs) recently for applications such as fairness and safety. Several toolkits have been proposed for this task, yet there is still no industry standard.…

Machine Learning · Computer Science 2025-09-26 Andrii Kliachkin , Jana Lepšová , Gilles Bareilles , Jakub Mareček

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification…

Methodology · Statistics 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

A soft tree is an actively studied variant of a decision tree that updates splitting rules using the gradient method. Although soft trees can take various architectures, their impact is not theoretically well known. In this paper, we…

Machine Learning · Computer Science 2023-02-10 Ryuichi Kanoh , Mahito Sugiyama

Tree-based machine learning models, such as decision trees and random forests, have been hugely successful in classification tasks primarily because of their predictive power in supervised learning tasks and ease of interpretation. Despite…

Machine Learning · Computer Science 2024-02-08 Tanmay Surve , Romila Pradhan

We propose a soft gradient boosting framework for sequential regression that embeds a learnable linear feature transform within the boosting procedure. At each boosting iteration, we train a soft decision tree and learn a linear input…

Machine Learning · Computer Science 2025-09-17 Huseyin Karaca , Suleyman Serdar Kozat

Data-driven algorithm design is a paradigm that uses statistical and machine learning techniques to select from a class of algorithms for a computational problem an algorithm that has the best expected performance with respect to some…

Machine Learning · Computer Science 2024-06-05 Hongyu Cheng , Sammy Khalife , Barbara Fiedorowicz , Amitabh Basu

We introduce Joint Probability Trees (JPT), a novel approach that makes learning of and reasoning about joint probability distributions tractable for practical applications. JPTs support both symbolic and subsymbolic variables in a single…

Machine Learning · Computer Science 2023-02-15 Daniel Nyga , Mareike Picklum , Tom Schierenbeck , Michael Beetz