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This paper proposes a novel uncertainty quantification framework for computationally demanding systems characterized by a large vector of non-Gaussian uncertainties. It combines state-of-the-art techniques in advanced Monte Carlo sampling…

Computation · Statistics 2018-03-05 Phaedon-Stelios Koutsourelakis

Networks of low-cost sensors are becoming ubiquitous, but often suffer from poor accuracies and drift. Regular colocation with reference sensors allows recalibration but is complicated and expensive. Alternatively the calibration can be…

As machine learning inferences increasingly move to edge devices, adapting to diverse computational capabilities, hardware, and memory constraints becomes more critical. Instead of relying on a pre-trained model fixed for all future…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Xiangchen Li , Saeid Ghafouri , Bo Ji , Hans Vandierendonck , Deepu John , Dimitrios S. Nikolopoulos

Stochastic models are widely used to verify whether systems satisfy their reliability, performance and other nonfunctional requirements. However, the validity of the verification depends on how accurately the parameters of these models can…

Software Engineering · Computer Science 2022-02-22 Naif Alasmari , Radu Calinescu , Colin Paterson , Raffaela Mirandola

We present a simple and robust strategy for the selection of sampling points in Uncertainty Quantification. The goal is to achieve the fastest possible convergence in the cumulative distribution function of a stochastic output of interest.…

Computational Physics · Physics 2017-05-08 Enrico Camporeale , Ashutosh Agnihotri , Casper Rutjes

Image-based computational fluid dynamics (CFD) modeling enables derivation of hemodynamic information, which has become a paradigm in cardiovascular research and healthcare. Nonetheless, the predictive accuracy largely depends on precisely…

Fluid Dynamics · Physics 2021-07-20 Han Gao , Xueyu Zhu , Jian-Xun Wang

Large-scale optimization problems are ubiquitous in the physical sciences; yet, high-fidelity models can often be complex and computationally prohibitive for optimization. A practical alternative is to use a low-fidelity model to facilitate…

Numerical Analysis · Mathematics 2026-04-03 Madhusudan Madhavan , Joseph Hart , Bart van Bloemen Waanders

Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of…

Methodology · Statistics 2024-03-04 Yuling Yao , Bruno Régaldo-Saint Blancard , Justin Domke

Uncertainty quantification (UQ) is an important component of molecular property prediction, particularly for drug discovery applications where model predictions direct experimental design and where unanticipated imprecision wastes valuable…

Machine Learning · Computer Science 2020-05-21 Lior Hirschfeld , Kyle Swanson , Kevin Yang , Regina Barzilay , Connor W. Coley

Multifidelity uncertainty propagation combines the efficiency of low-fidelity models with the accuracy of a high-fidelity model to construct statistical estimators of quantities of interest. It is well known that the effectiveness of such…

Computation · Statistics 2026-01-06 James E. Warner , Geoffrey F. Bomarito , Gianluca Geraci , Michael S. Eldred

Conformal Prediction provides distribution-free prediction intervals with guaranteed coverage, but its reliance on a single global calibration threshold obscures the sources of uncertainty at the instance level. In particular, it conflates…

Accurate platform localization is an integral component of most robotic systems. As these robotic systems become more ubiquitous, it is necessary to develop robust state estimation algorithms that are able to withstand novel and…

Robotics · Computer Science 2019-10-15 Ryan M. Watson , Jason N. Gross , Clark N. Taylor , Robert C. Leishman

We propose a new numerical scheme for approximating level-sets of Lipschitz multivariate functions which is robust to stochastic noise. The algorithm's main feature is an adaptive grid-based stochastic approximation strategy which…

Numerical Analysis · Mathematics 2025-09-19 Matteo Croci , Abdul-Lateef Haji-Ali , Ian C. J. Powell

Quantifying uncertainties for machine learning (ML) models is a foundational challenge in modern data analysis. This challenge is compounded by at least two key aspects of the field: (a) inconsistent terminology surrounding uncertainty and…

Machine Learning · Computer Science 2025-06-04 Shubhendu Trivedi , Brian D. Nord

The introduction of the Segment Anything Model (SAM) has paved the way for numerous semantic segmentation applications. For several tasks, quantifying the uncertainty of SAM is of particular interest. However, the ambiguous nature of the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Timo Kaiser , Thomas Norrenbrock , Bodo Rosenhahn

We provide a framework for the sparse approximation of multilinear problems and show that several problems in uncertainty quantification fit within this framework. In these problems, the value of a multilinear map has to be approximated…

Numerical Analysis · Mathematics 2018-07-17 Fabio Nobile , Raul Tempone , Soeren Wolfers

The practice of uncertainty quantification (UQ) validation, notably in machine learning for the physico-chemical sciences, rests on several graphical methods (scattering plots, calibration curves, reliability diagrams and confidence curves)…

Chemical Physics · Physics 2023-03-31 Pascal Pernot

In imaging inverse problems, one seeks to recover an image from missing/corrupted measurements. Because such problems are ill-posed, there is great motivation to quantify the uncertainty induced by the measurement-and-recovery process.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Jeffrey Wen , Rizwan Ahmad , Philip Schniter

AI deployed in the real-world should be capable of autonomously adapting to novelties encountered after deployment. Yet, in the field of continual learning, the reliance on novelty and labeling oracles is commonplace albeit unrealistic.…

Machine Learning · Computer Science 2024-12-24 Amanda S. Rios , Ibrahima J. Ndiour , Parual Datta , Jaroslaw Sydir , Omesh Tickoo , Nilesh Ahuja

Accurate ground truth estimation in medical screening programs often relies on coalitions of experts and peer second opinions. Algorithms that efficiently aggregate noisy annotations can enhance screening workflows, particularly when data…

Machine Learning · Computer Science 2025-10-07 Tim Bary , Tiffanie Godelaine , Axel Abels , Benoît Macq
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