English
Related papers

Related papers: Soft regression trees: a model variant and a decom…

200 papers

In any given machine learning problem, there may be many models that could explain the data almost equally well. However, most learning algorithms return only one of these models, leaving practitioners with no practical way to explore…

Machine Learning · Computer Science 2022-10-27 Rui Xin , Chudi Zhong , Zhi Chen , Takuya Takagi , Margo Seltzer , Cynthia Rudin

While circular data occur in a wide range of scientific fields, the methodology for distributional modeling and probabilistic forecasting of circular response variables is rather limited. Most of the existing methods are built on the…

Random forests are a statistical learning method widely used in many areas of scientific research because of its ability to learn complex relationships between input and output variables and also its capacity to handle high-dimensional…

Machine Learning · Statistics 2024-02-19 Louis Capitaine , Jérémie Bigot , Rodolphe Thiébaut , Robin Genuer

We consider the problem of learning classification trees that are robust to distribution shifts between training and testing/deployment data. This problem arises frequently in high stakes settings such as public health and social work where…

Machine Learning · Computer Science 2025-08-27 Nathan Justin , Sina Aghaei , Andrés Gómez , Phebe Vayanos

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana

We propose a new approach to image segmentation, which exploits the advantages of both conditional random fields (CRFs) and decision trees. In the literature, the potential functions of CRFs are mostly defined as a linear combination of…

Computer Vision and Pattern Recognition · Computer Science 2017-03-28 Fayao Liu , Guosheng Lin , Ruizhi Qiao , Chunhua Shen

We implemented a Soft Decision Tree (SDT) and a Short-term Memory Soft Decision Tree (SM-SDT) using PyTorch. The methods were extensively tested on simulated and clinical datasets. The SDT was visualized to demonstrate the potential for its…

Machine Learning · Computer Science 2025-12-16 Reuben R Shamir

In the present day we use machine learning for sensitive tasks that require models to be both understandable and robust. Although traditional models such as decision trees are understandable, they suffer from adversarial attacks. When a…

Machine Learning · Computer Science 2020-12-21 Daniël Vos , Sicco Verwer

Conventional decision trees have a number of favorable properties, including interpretability, a small computational footprint and the ability to learn from little training data. However, they lack a key quality that has helped fuel the…

Machine Learning · Statistics 2017-12-08 Thomas Hehn , Fred A. Hamprecht

Age estimation from facial images is typically cast as a nonlinear regression problem. The main challenge of this problem is the facial feature space w.r.t. ages is heterogeneous, due to the large variation in facial appearance across…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Wei Shen , Yilu Guo , Yan Wang , Kai Zhao , Bo Wang , Alan Yuille

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

Aerial image segmentation is the basis for applications such as automatically creating maps or tracking deforestation. In true orthophotos, which are often used in these applications, many objects and regions can be approximated well by…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Daniel Gritzner , Jörn Ostermann

When analyzing a dataset, it can be useful to assess how smooth the decision boundaries need to be for a model to better fit the data. This paper addresses this question by proposing the quantification of how much should the 'rigid'…

Machine Learning · Computer Science 2022-10-10 Anthea Mérida , Argyris Kalogeratos , Mathilde Mougeot

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

Statistics Theory · Mathematics 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

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

Random forests are some of the most widely used machine learning models today, especially in domains that necessitate interpretability. We present an algorithm that accelerates the training of random forests and other popular tree-based…

Machine Learning · Computer Science 2022-12-16 Mo Tiwari , Ryan Kang , Je-Yong Lee , Sebastian Thrun , Chris Piech , Ilan Shomorony , Martin Jinye Zhang

Random forests are a statistical learning technique that use bootstrap aggregation to average high-variance and low-bias trees. Improvements to random forests, such as applying Lasso regression to the tree predictions, have been proposed in…

Machine Learning · Statistics 2025-11-13 Jing Shang , James Bannon , Benjamin Haibe-Kains , Robert Tibshirani

Regression forests have long delivered state-of-the-art accuracy, often outperforming regression trees and even neural networks, but they suffer from limited interpretability as ensemble methods. In this work, we revisit forest pruning, an…

Machine Learning · Statistics 2025-03-10 Albert Dorador

The rise of machine learning methods on heavily resource constrained devices requires not only the choice of a suitable model architecture for the target platform, but also the optimization of the chosen model with regard to execution time…

Machine Learning · Computer Science 2024-06-19 Lena Schmid , Daniel Biebert , Christian Hakert , Kuan-Hsun Chen , Michel Lang , Markus Pauly , Jian-Jia Chen

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