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Uncertainty quantification by ensemble learning is explored in terms of an application from computational optical form measurements. The application requires to solve a large-scale, nonlinear inverse problem. Ensemble learning is used to…

Machine Learning · Computer Science 2021-03-03 Lara Hoffmann , Ines Fortmeier , Clemens Elster

We study the problem of quantifying epistemic predictive uncertainty (EPU) -- that is, uncertainty faced at prediction time due to the existence of multiple plausible predictive models -- within the framework of conformal prediction (CP).…

Machine Learning · Computer Science 2026-02-03 Siu Lun Chau , Soroush H. Zargarbashi , Yusuf Sale , Michele Caprio

Increased usage of automated tools like deep learning in medical image segmentation has alleviated the bottleneck of manual contouring. This has shifted manual labour to quality assessment (QA) of automated contours which involves detecting…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Prerak Mody , Nicolas F. Chaves-de-Plaza , Chinmay Rao , Eleftheria Astrenidou , Mischa de Ridder , Nienke Hoekstra , Klaus Hildebrandt , Marius Staring

Researchers have proposed several approaches for neural network (NN) based uncertainty quantification (UQ). However, most of the approaches are developed considering strong assumptions. Uncertainty quantification algorithms often perform…

As large language models (LLMs) are increasingly integrated into high-stakes decision-making, the ability to reliably quantify uncertainty has become a critical requirement for safety and trust. However, current uncertainty quantification…

Artificial Intelligence · Computer Science 2026-05-28 Seongjun Lee , Suwan Yoon , Changhee Lee

In Visual Place Recognition (VPR) the pose of a query image is estimated by comparing the image to a map of reference images with known reference poses. As is typical for image retrieval problems, a feature extractor maps the query and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Mubariz Zaffar , Liangliang Nan , Julian F. P. Kooij

Uncertainty Quantification (UQ) is crucial for ensuring the reliability of machine learning models deployed in real-world autonomous systems. However, existing approaches typically quantify task-level output prediction uncertainty without…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Luke Chen , Junyao Wang , Trier Mortlock , Pramod Khargonekar , Mohammad Abdullah Al Faruque

Product Quantization (PQ) has long been a mainstream for generating an exponentially large codebook at very low memory/time cost. Despite its success, PQ is still tricky for the decomposition of high-dimensional vector space, and the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Lianli Gao , Xiaosu Zhu , Jingkuan Song , Zhou Zhao , Heng Tao Shen

Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Understanding the physical process, in general, requires…

Numerical Analysis · Mathematics 2020-10-16 Mahadevan Ganesh , Stuart C Hawkins , Alexandre Tartakovsky , Ramakrishna Tipireddy

Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

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

Diffusion-based image super-resolution (ISR) has shown strong potential, but it still struggles in real-world scenarios where degradations are unknown and spatially non-uniform, often resulting in lost details or visual artifacts. To…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Junjie Yin , Jiaju Li , Hanfa Xing

Recent advances in generative video models have led to significant breakthroughs in high-fidelity video synthesis, specifically in controllable video generation where the generated video is conditioned on text and action inputs, e.g., in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Zhiting Mei , Tenny Yin , Micah Baker , Ola Shorinwa , Anirudha Majumdar

In this work, we describe a Bayesian framework for reconstructing the boundaries of piecewise smooth regions in the X-ray computed tomography (CT) problem in an infinite-dimensional setting. In addition to the reconstruction, we are also…

Numerical Analysis · Mathematics 2022-12-20 Babak Maboudi Afkham , Yiqiu Dong , Per Christian Hansen

We contribute to an uncertainty quantification problem in imaging that evaluates a hypothesis test questioning the existence of local "artefacts" appearing in the maximum a posteriori (MAP) estimate (obtained from standard numerical tools).…

Methodology · Statistics 2026-05-08 Xiaoyu Wang , Michael Tang , Audrey Repetti

Estimating the uncertainty in (probabilistic) image registration enables, e.g., surgeons to assess the operative risk based on the trustworthiness of the registered image data. If surgeons receive inaccurately calculated registration…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Jie Luo , Alireza Sedghi , Karteek Popuri , Dana Cobzas , Miaomiao Zhang , Frank Preiswerk , Matthew Toews , Alexandra Golby , Masashi Sugiyama , William M. Wells , Sarah Frisken

Differential dynamic microscopy (DDM) is a form of video image analysis that combines the sensitivity of scattering and the direct visualization benefits of microscopy. DDM is broadly useful in determining dynamical properties including the…

Soft Condensed Matter · Physics 2022-04-12 Mengyang Gu , Yimin Luo , Yue He , Matthew E. Helgeson , Megan T. Valentine

Computational molecular modeling and visualization has seen significant progress in recent years with sev- eral molecular modeling and visualization software systems in use today. Nevertheless the molecular biology community lacks…

Computational Engineering, Finance, and Science · Computer Science 2016-05-20 Muhibur Rasheed , Nathan Clement , Abhishek Bhowmick , Chandrajit Bajaj

Accurate uncertainty quantification (UQ) in Large Language Models (LLMs) is critical for trustworthy deployment. While real-world language is inherently ambiguous, reflecting aleatoric uncertainty, existing UQ methods are typically…

Machine Learning · Computer Science 2026-01-30 Tim Tomov , Dominik Fuchsgruber , Tom Wollschläger , Stephan Günnemann

This paper introduces a novel uncertainty quantification framework for regression models where the response takes values in a separable metric space, and the predictors are in a Euclidean space. The proposed algorithms can efficiently…

Statistics Theory · Mathematics 2024-05-09 Gábor Lugosi , Marcos Matabuena