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Quantifying the data uncertainty in learning tasks is often done by learning a prediction interval or prediction set of the label given the input. Two commonly desired properties for learned prediction sets are \emph{valid coverage} and…

Machine Learning · Computer Science 2022-05-31 Yu Bai , Song Mei , Huan Wang , Yingbo Zhou , Caiming Xiong

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 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

The forecasting of the credit default risk has been an important research field for several decades. Traditionally, logistic regression has been widely recognized as a solution due to its accuracy and interpretability. As a recent trend,…

Computational Finance · Quantitative Finance 2022-09-22 Dangxing Chen , Weicheng Ye , Jiahui Ye

Interpretability in machine learning (ML) is crucial for high stakes decisions and troubleshooting. In this work, we provide fundamental principles for interpretable ML, and dispel common misunderstandings that dilute the importance of this…

Machine Learning · Computer Science 2021-09-02 Cynthia Rudin , Chaofan Chen , Zhi Chen , Haiyang Huang , Lesia Semenova , Chudi Zhong

The vast majority of theoretical results in machine learning and statistics assume that the available training data is a reasonably reliable reflection of the phenomena to be learned or estimated. Similarly, the majority of machine learning…

Machine Learning · Computer Science 2017-06-13 Moses Charikar , Jacob Steinhardt , Gregory Valiant

Any supervised machine learning analysis is required to provide an estimate of the out-of-sample predictive performance. However, it is imperative to also provide a quantification of the uncertainty of this performance in the form of a…

Machine Learning · Computer Science 2024-06-13 Konstantinos Paraschakis , Andrea Castellani , Giorgos Borboudakis , Ioannis Tsamardinos

In real data, missing values occur frequently, which affects the interpretation with interpretable machine learning (IML) methods. Recent work considers bias and shows that model explanations may differ between imputation methods, while…

Machine Learning · Statistics 2025-12-22 Pegah Golchian , Marvin N. Wright

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

Methodology · Statistics 2022-01-19 Geoffrey S Johnson

The use of machine learning methods for predictive purposes has increased dramatically over the past two decades, but uncertainty quantification for predictive comparisons remains elusive. This paper addresses this gap by extending the…

Econometrics · Economics 2025-05-09 Juan Carlos Escanciano , Ricardo Parra

Missing covariates in regression or classification problems can prohibit the direct use of advanced tools for further analysis. Recent research has realized an increasing trend towards the usage of modern Machine Learning algorithms for…

Machine Learning · Statistics 2022-03-23 Burim Ramosaj , Justus Tulowietzki , Markus Pauly

Traditional parametric econometric models often rely on rigid functional forms, while nonparametric techniques, despite their flexibility, frequently lack interpretability. This paper proposes a parsimonious alternative by modeling the…

Methodology · Statistics 2025-02-20 Ricardo Masini , Marcelo Medeiros

Random forests are a powerful method for non-parametric regression, but are limited in their ability to fit smooth signals, and can show poor predictive performance in the presence of strong, smooth effects. Taking the perspective of random…

Machine Learning · Statistics 2020-09-08 Rina Friedberg , Julie Tibshirani , Susan Athey , Stefan Wager

This paper is a broad and accessible survey of the methods we have at our disposal for Monte Carlo gradient estimation in machine learning and across the statistical sciences: the problem of computing the gradient of an expectation of a…

Machine Learning · Statistics 2020-09-30 Shakir Mohamed , Mihaela Rosca , Michael Figurnov , Andriy Mnih

Understanding decisions made by neural networks is key for the deployment of intelligent systems in real world applications. However, the opaque decision making process of these systems is a disadvantage where interpretability is essential.…

Machine Learning · Computer Science 2023-04-12 Kai Fischer , Jonas Schneider

Random forests are a learning algorithm proposed by Breiman [Mach. Learn. 45 (2001) 5--32] that combines several randomized decision trees and aggregates their predictions by averaging. Despite its wide usage and outstanding practical…

Statistics Theory · Mathematics 2015-08-11 Erwan Scornet , Gérard Biau , Jean-Philippe Vert

The interpretability of models has become a crucial issue in Machine Learning because of algorithmic decisions' growing impact on real-world applications. Tree ensemble methods, such as Random Forests or XgBoost, are powerful learning tools…

Optimization and Control · Mathematics 2024-01-19 Giulia Di Teodoro , Marta Monaci , Laura Palagi

Interpretability and explainability have gained more and more attention in the field of machine learning as they are crucial when it comes to high-stakes decisions and troubleshooting. Since both provide information about predictors and…

Machine Learning · Computer Science 2024-04-26 Benjamin Leblanc , Pascal Germain

We consider the task of learning Ising models when the signs of different random variables are flipped independently with possibly unequal, unknown probabilities. In this paper, we focus on the problem of robust estimation of…

Machine Learning · Statistics 2020-06-11 Ashish Katiyar , Vatsal Shah , Constantine Caramanis

Conformal prediction constructs a confidence set for an unobserved response of a feature vector based on previous identically distributed and exchangeable observations of responses and features. It has a coverage guarantee at any nominal…

Machine Learning · Statistics 2022-12-08 Eugene Ndiaye , Ichiro Takeuchi