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In inverse problems, uncertainty quantification (UQ) deals with a probabilistic description of the solution nonuniqueness and data noise sensitivity. Setting seismic imaging into a Bayesian framework allows for a principled way of studying…

Geophysics · Physics 2020-04-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

Machine Learning · Statistics 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

Uncertainty estimation bears the potential to make deep learning (DL) systems more reliable. Standard techniques for uncertainty estimation, however, come along with specific combinations of strengths and weaknesses, e.g., with respect to…

Machine Learning · Computer Science 2022-05-02 Joachim Sicking , Maram Akila , Jan David Schneider , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

Uncertainty quantification is a critical yet unsolved challenge for deep learning, especially for the time series imputation with irregularly sampled measurements. To tackle this problem, we propose a novel framework based on the principles…

Machine Learning · Computer Science 2023-06-05 Shweta Dahale , Sai Munikoti , Balasubramaniam Natarajan

Countless research works of deep neural networks (DNNs) in the task of credit card fraud detection have focused on improving the accuracy of point predictions and mitigating unwanted biases by building different network architectures or…

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…

Machine Learning · Computer Science 2026-04-15 Chao Chen , Chenghua Guo , Rui Xu , Jiujiu Chen , Xiangwen Liao , Xi Zhang , Sihong Xie , Hui Xiong , Philip Yu

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

In modern process industries, data-driven models are important tools for real-time monitoring when key performance indicators are difficult to measure directly. While accurate predictions are essential, reliable uncertainty quantification…

Machine Learning · Computer Science 2026-04-07 Yiran Ma , Jerome Le Ny , Zhichao Chen , Zhihuan Song

Uncertainty quantification (UQ) in machine learning is currently drawing increasing research interest, driven by the rapid deployment of deep neural networks across different fields, such as computer vision, natural language processing, and…

Machine Learning · Computer Science 2022-08-26 Zongren Zou , Xuhui Meng , Apostolos F Psaros , George Em Karniadakis

Uncertainty quantification (UQ) has increasing importance in building robust high-performance and generalizable materials property prediction models. It can also be used in active learning to train better models by focusing on getting new…

Materials Science · Physics 2022-11-14 Daniel Varivoda , Rongzhi Dong , Sadman Sadeed Omee , Jianjun Hu

In statistics, forecast uncertainty is often quantified using a specified statistical model, though such approaches may be vulnerable to model misspecification, selection bias, and limited finite-sample validity. While bootstrapping can…

Methodology · Statistics 2026-03-12 Han Lin Shang

Real-world time series data often exhibits substantial missing values, posing challenges for advanced analysis. A common approach to addressing this issue is imputation, where the primary challenge lies in determining the appropriate values…

Machine Learning · Computer Science 2025-12-02 Ying Liu , Peng Cui , Wenbo Hu , Richang Hong

Conformal prediction is a framework for providing prediction intervals with distribution-free validity, guaranteeing predictive coverage for data drawn from any distribution. Its two main variants are full conformal prediction and split…

Methodology · Statistics 2026-05-29 Aabesh Bhattacharyya , Boxuan Zhang , Rina Foygel Barber

Conformal prediction is a technique for constructing prediction intervals that attain valid coverage in finite samples, without making distributional assumptions. Despite this appeal, existing conformal methods can be unnecessarily…

Methodology · Statistics 2019-05-09 Yaniv Romano , Evan Patterson , Emmanuel J. Candès

This paper introduces a framework for uncertainty quantification in regression models defined in metric spaces. Leveraging a newly defined notion of homoscedasticity, we develop a conformal prediction algorithm that offers finite-sample…

Machine Learning · Statistics 2025-07-22 Gábor Lugosi , Marcos Matabuena

In this PhD thesis, we propose a novel framework for uncertainty quantification in machine learning, which is based on proper scores. Uncertainty quantification is an important cornerstone for trustworthy and reliable machine learning…

Machine Learning · Computer Science 2025-08-26 Sebastian G. Gruber

Precise probabilistic forecasts are fundamental for energy risk management, and there is a wide range of both statistical and machine learning models for this purpose. Inherent to these probabilistic models is some form of uncertainty…

Machine Learning · Computer Science 2025-10-10 Andreas Lebedev , Abhinav Das , Sven Pappert , Stephan Schlüter

Epistemic uncertainty quantification (UQ) identifies where models lack knowledge. Traditional UQ methods, often based on Bayesian neural networks, are not suitable for pre-trained non-Bayesian models. Our study addresses quantifying…

Machine Learning · Computer Science 2024-04-17 Hanjing Wang , Qiang Ji

We analyze an ensemble-based approach for uncertainty quantification (UQ) in atomistic neural networks. This method generates an epistemic uncertainty signal without requiring changes to the underlying multi-headed regression neural network…

Chemical Physics · Physics 2025-11-21 Idan Fonea , Amir Peles , Sivan Niv , Goren Gordon , Amir Natan

Uncertainty quantification for neural operators remains an open problem in the infinite-dimensional setting due to the lack of finite-sample coverage guarantees over functional outputs. While conformal prediction offers finite-sample…

Machine Learning · Computer Science 2025-09-08 David Millard , Lars Lindemann , Ali Baheri
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