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Bootstrapping has been a primary tool for ensemble and uncertainty quantification in machine learning and statistics. However, due to its nature of multiple training and resampling, bootstrapping deep neural networks is computationally…

Machine Learning · Computer Science 2021-12-14 Minsuk Shin , Hyungjoo Cho , Hyun-seok Min , Sungbin Lim

Uncertainty quantification plays a vital role in facilitating the practical implementation of AI in radiology by addressing growing concerns around trustworthiness. Given the challenges associated with acquiring large, annotated datasets in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Bala McRae-Posani , Andrei Holodny , Hrithwik Shalu , Joseph N Stember

In the present work, a rate-dependent cohesive zone model for the fracture of polymeric interfaces is presented. Inverse calibration of parameters for such complex models through trial and error is computationally tedious due to the large…

Computational Engineering, Finance, and Science · Computer Science 2023-11-15 Ponkrshnan Thiagarajan , Trisha Sain , Susanta Ghosh

We present a rigorous mathematical solution to photometric redshift estimation and the more general inversion problem. The challenge we address is to meaningfully constrain unknown properties of astronomical sources based on given…

Astrophysics · Physics 2011-02-11 Tamas Budavari

Programmable linear optical interferometers are promising for classical and quantum applications. Their integrated design makes it possible to create more scalable and stable devices. To use them in practice, one has to reconstruct the…

Quantum Physics · Physics 2024-01-12 B. I. Bantysh , A. Yu. Chernyavskiy , S. A. Fldzhyan , Yu. I. Bogdanov

This paper introduces a novel approach to uncertainty quantification for radiance fields by leveraging higher-order moments of the rendering equation. Uncertainty quantification is crucial for downstream tasks including view planning and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Parker Ewen , Hao Chen , Seth Isaacson , Joey Wilson , Katherine A. Skinner , Ram Vasudevan

The role of uncertainty quantification (UQ) in deep learning has become crucial with growing use of predictive models in high-risk applications. Though a large class of methods exists for measuring deep uncertainties, in practice, the…

Machine Learning · Statistics 2019-11-01 Bindya Venkatesh , Jayaraman J. Thiagarajan

This study proposes a novel approach to quantifying uncertainties of constitutive relations inferred from noisy experimental data using inverse modelling. We focus on electrochemical systems in which charged species (e.g., Lithium ions) are…

Chemical Physics · Physics 2020-03-12 Athinthra Sethurajan , Sergey Krachkovskiy , Gillian Goward , Bartosz Protas

The Atacama Large Millimeter/submillimeter Array with the planned electronic upgrades will deliver an unprecedented amount of deep and high resolution observations. Wider fields of view are possible with the consequential cost of image…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 Fabrizia Guglielmetti , Philipp Arras , Michele Delli Veneri , Torsten Enßlin , Giuseppe Longo , Łukasz Tychoniec , Eric Villard

Atlas-based approaches allow high-quality, patient-specific shape reconstructions of cardiac anatomy from sparse and/or noisy data such as point clouds. However, these methods are mainly prior-driven, so the impact of uncertainty can be…

Image and Video Processing · Electrical Eng. & Systems 2026-05-11 Jan Verhülsdonk , Thomas Grandits , Francisco Sahli Costabal , Thomas Beiert , Simone Pezzuto , Alexander Effland

Next generation radio interferometric telescopes are entering an era of big data with extremely large data sets. While these telescopes can observe the sky in higher sensitivity and resolution than before, computational challenges in image…

Instrumentation and Methods for Astrophysics · Physics 2019-12-17 Luke Pratley , Jason D. McEwen , Mayeul d'Avezac , Xiaohao Cai , David Perez-Suarez , Ilektra Christidi , Roland Guichard

In this paper we address the problem of uncertainty management for robust design, and verification of large dynamic networks whose performance is affected by an equally large number of uncertain parameters. Many such networks (e.g. power,…

Computation · Statistics 2011-10-12 Amit Surana , Tuhin Sahai , Andrzej Banaszuk

Retrieval augmented Question Answering (QA) helps QA models overcome knowledge gaps by incorporating retrieved evidence, typically a set of passages, alongside the question at test time. Previous studies show that this approach improves QA…

Computation and Language · Computer Science 2025-09-12 Laura Perez-Beltrachini , Mirella Lapata

Convection of liquid metals drives large natural processes and is important in technical processes. Model experiments are conducted for research purposes where simulations are expensive and the clarification of open questions requires novel…

Fluid Dynamics · Physics 2024-04-18 David Weik , Zehua Dou , Dirk Räbiger , Tobias Vogt , Sven Eckert , Jürgen Czarske , Lars Büttner

An inverse nonequispaced fast Fourier transform (iNFFT) is a fast algorithm to compute the Fourier coefficients of a trigonometric polynomial from nonequispaced sampling data. However, various applications such as magnetic resonance imaging…

Numerical Analysis · Mathematics 2025-06-09 Melanie Kircheis , Daniel Potts

The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse…

Analysis of PDEs · Mathematics 2024-04-05 Tianyu Yang , Yang Yang

In computed tomography (CT), the presence of metallic implants in patients often leads to disruptive artifacts in the reconstructed images, hindering accurate diagnosis. Recently, a large amount of supervised deep learning-based approaches…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Xinquan Yang , Guanqun Zhou , Wei Sun , Youjian Zhang , Zhongya Wang , Jiahui He , Zhicheng Zhang

Pre-trained deep image representations are useful for post-training tasks such as classification through transfer learning, image retrieval, and object detection. Data augmentations are a crucial aspect of pre-training robust…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Sangnie Bhardwaj , Willie McClinton , Tongzhou Wang , Guillaume Lajoie , Chen Sun , Phillip Isola , Dilip Krishnan

Image restoration problems are often ill-posed, leading to significant uncertainty in reconstructed images. Accurately quantifying this uncertainty is essential for the reliable interpretation of reconstructed images. However, image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Bernardin Tamo Amougou , Marcelo Pereyra , Barbara Pascal

The new generation of radio telescopes, such as the Square Kilometer Array (SKA), requires dramatic advances in computer hardware and software, in order to process the large amounts of produced data efficiently. In this document, we explore…

Instrumentation and Methods for Astrophysics · Physics 2015-04-15 Matthias Petschow
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