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We propose a rigorous framework for Uncertainty Quantification (UQ) in which the UQ objectives and the assumptions/information set are brought to the forefront. This framework, which we call \emph{Optimal Uncertainty Quantification} (OUQ),…

Generalization is the ability of machine learning models to make accurate predictions on new data by learning from training data. However, understanding generalization of quantum machine learning models has been a major challenge. Here, we…

量子物理 · 物理学 2024-08-07 Tobias Haug , M. S. Kim

Trustworthy deployment of ML models requires a proper measure of uncertainty, especially in safety-critical applications. We focus on uncertainty quantification (UQ) for classification problems via two avenues -- prediction sets using…

机器学习 · 统计学 2021-07-08 Aleksandr Podkopaev , Aaditya Ramdas

Graphical models have demonstrated their exceptional capabilities across numerous applications. However, their performance, confidence, and trustworthiness are often limited by the inherent randomness in data generation and the lack of…

机器学习 · 计算机科学 2026-04-15 Chao Chen , Chenghua Guo , Rui Xu , Jiujiu Chen , Xiangwen Liao , Xi Zhang , Sihong Xie , Hui Xiong , Philip Yu

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

数值分析 · 数学 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Orientation estimation for 3D objects is a common problem that is usually tackled with traditional nonlinear filtering techniques such as the extended Kalman filter (EKF) or the unscented Kalman filter (UKF). Most of these techniques assume…

系统与控制 · 计算机科学 2016-08-19 Igor Gilitschenski , Gerhard Kurz , Simon J. Julier , Uwe D. Hanebeck

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

机器学习 · 统计学 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

We present a novel tuning procedure for random forests (RFs) that improves the accuracy of estimated quantiles and produces valid, relatively narrow prediction intervals. While RFs are typically used to estimate mean responses (conditional…

统计方法学 · 统计学 2025-07-03 Matthew Berkowitz , Rachel MacKay Altman , Thomas M. Loughin

Quantum machine learning (QML) models often require deep, parameterized circuits to capture complex frequency components, limiting their scalability and near-term implementation. We introduce \textit{Quantum Random Features} (QRF) and…

量子物理 · 物理学 2026-01-30 Akitada Sakurai , Aoi Hayashi , William John Munro , Kae Nemoto

On top of machine learning models, uncertainty quantification (UQ) functions as an essential layer of safety assurance that could lead to more principled decision making by enabling sound risk assessment and management. The safety and…

机器学习 · 计算机科学 2024-03-28 Venkat Nemani , Luca Biggio , Xun Huan , Zhen Hu , Olga Fink , Anh Tran , Yan Wang , Xiaoge Zhang , Chao Hu

Clinical decision requires reasoning in the presence of imperfect data. DTs are a well-known decision support tool, owing to their interpretability, fundamental in safety-critical contexts such as medical diagnosis. However, learning DTs…

Scene graphs provide structured abstractions for scene understanding, yet they often overfit to spurious correlations, severely hindering out-of-distribution generalization. To address this limitation, we propose CURVE, a causality-inspired…

计算机视觉与模式识别 · 计算机科学 2026-01-29 Yue Liang , Jiatong Du , Ziyi Yang , Yanjun Huang , Hong Chen

In prediction tasks with multi-class outcomes, identifying covariates specifically associated with one or more outcome classes can be important. Conventional variable importance measures (VIMs) from random forests (RFs), like permutation…

机器学习 · 统计学 2024-09-16 Roman Hornung , Alexander Hapfelmeier

A critical limitation of current methods based on Neural Radiance Fields (NeRF) is that they are unable to quantify the uncertainty associated with the learned appearance and geometry of the scene. This information is paramount in real…

计算机视觉与模式识别 · 计算机科学 2022-03-22 Jianxiong Shen , Antonio Agudo , Francesc Moreno-Noguer , Adria Ruiz

Random forests is a state-of-the-art supervised machine learning method which behaves well in high-dimensional settings although some limitations may happen when $p$, the number of predictors, is much larger than the number of observations…

统计方法学 · 统计学 2019-02-01 Louis Capitaine , Robin Genuer , Rodolphe Thiébaut

Spatially explicit data layers of tree species assemblages, referred to as forest types or forest type groups, are a key component in large-scale assessments of forest sustainability, biodiversity, timber biomass, carbon sinks and forest…

应用统计 · 统计学 2009-10-09 Andrew O. Finley , Sudipto Banerjee , Ronald E. McRoberts

Uncertainty quantification (UQ) helps to make trustworthy predictions based on collected observations and uncertain domain knowledge. With increased usage of deep learning in various applications, the need for efficient UQ methods that can…

机器学习 · 计算机科学 2021-11-09 Olga Graf , Pablo Flores , Pavlos Protopapas , Karim Pichara

Survival random forest is a popular machine learning tool for modeling censored survival data. However, there is currently no statistically valid and computationally feasible approach for estimating its confidence band. This paper proposes…

统计方法学 · 统计学 2022-04-27 Sarah Elizabeth Formentini , Wei Liang , Ruoqing Zhu

Quantifying uncertainty in neural network predictions is essential for high-stakes domains such as autonomous driving, healthcare, and manufacturing. While existing approaches often depend on costly sampling or restrictive distributional…

机器学习 · 计算机科学 2026-05-29 Eunseo Choi , Ho-Yeon Kim , Jaewon Lee , Taeyong jo , Myungjun lee , Heejin Ahn

Understanding and inferencing Heterogeneous Treatment Effects (HTE) and Conditional Average Treatment Effects (CATE) are vital for developing personalized treatment recommendations. Many state-of-the-art approaches achieve inspiring…

机器学习 · 计算机科学 2024-08-28 Chan Hsu , Jun-Ting Wu , Yihuang Kang