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Most image restoration problems are ill-conditioned or ill-posed and hence involve significant uncertainty. Quantifying this uncertainty is crucial for reliably interpreting experimental results, particularly when reconstructed images…

Computer Vision and Pattern Recognition · Computer Science 2025-02-10 Jasper M. Everink , Bernardin Tamo Amougou , Marcelo Pereyra

Inverse problems, such as accelerated MRI reconstruction, are ill-posed and an infinite amount of possible and plausible solutions exist. This may not only lead to uncertainty in the reconstructed image but also in downstream tasks such as…

Image and Video Processing · Electrical Eng. & Systems 2024-07-26 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner

Manual segmentation is used as the gold-standard for evaluating neural networks on automated image segmentation tasks. Due to considerable heterogeneity in shapes, colours and textures, demarcating object boundaries is particularly…

Image and Video Processing · Electrical Eng. & Systems 2021-11-02 Michael Yeung , Guang Yang , Evis Sala , Carola-Bibiane Schönlieb , Leonardo Rundo

Mammography images are widely used to detect non-palpable breast lesions or nodules, preventing cancer and providing the opportunity to plan interventions when necessary. The identification of some structures of interest is essential to…

Image and Video Processing · Electrical Eng. & Systems 2023-07-21 Cesar A. Sierra-Franco , Jan Hurtado , Victor de A. Thomaz , Leonardo C. da Cruz , Santiago V. Silva , Alberto B. Raposo

Depth measures have gained popularity in the statistical literature for defining level sets in complex data structures like multivariate data, functional data, and graphs. Despite their versatility, integrating depth measures into…

Fluorescence microscopy images contain several channels, each indicating a marker staining the sample. Since many different marker combinations are utilized in practice, it has been challenging to apply deep learning based segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Alvaro Gomariz , Raphael Egli , Tiziano Portenier , César Nombela-Arrieta , Orcun Goksel

Conformal prediction provides finite-sample, distribution-free coverage under exchangeability, but standard constructions may lack robustness in the presence of outliers or heavy tails. We propose a robust conformal method based on a…

Statistics Theory · Mathematics 2026-04-21 Alejandro Cholaquidis , Emilien Joly , Leonardo Moreno

Standard conformal prediction offers a marginal guarantee on coverage, but for prediction sets to be truly useful, they should ideally ensure coverage conditional on each test point. Unfortunately, it is impossible to achieve exact,…

Machine Learning · Computer Science 2025-02-11 Jivat Neet Kaur , Michael I. Jordan , Ahmed Alaa

Model calibration measures the agreement between the predicted probability estimates and the true correctness likelihood. Proper model calibration is vital for high-risk applications. Unfortunately, modern deep neural networks are poorly…

Image and Video Processing · Electrical Eng. & Systems 2022-09-14 Skylar E. Stolte , Kyle Volle , Aprinda Indahlastari , Alejandro Albizu , Adam J. Woods , Kevin Brink , Matthew Hale , Ruogu Fang

Estimating uncertainty in image-to-image networks is an important task, particularly as such networks are being increasingly deployed in the biological and medical imaging realms. In this paper, we introduce a new approach to this problem…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Gilad Kutiel , Regev Cohen , Michael Elad , Daniel Freedman

Deep learning models trained with large amounts of data have become a recent and effective approach to predictive problem solving -- these have become known as "foundation models" as they can be used as fundamental tools for other…

Image and Video Processing · Electrical Eng. & Systems 2024-05-17 José Guilherme de Almeida , Nuno M. Rodrigues , Sara Silva , Nickolas Papanikolaou

Uncertainty quantification in automated image analysis is highly desired in many applications. Typically, machine learning models in classification or segmentation are only developed to provide binary answers; however, quantifying the…

The black box nature of deep learning models complicate their usage in critical applications such as remote sensing. Conformal prediction is a method to ensure trust in such scenarios. Subject to data exchangeability, conformal prediction…

Machine Learning · Computer Science 2024-05-07 Protim Bhattacharjee , Peter Jung

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

Machine Learning · Statistics 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

Machine Learning · Computer Science 2024-07-08 Rui Luo , Zhixin Zhou

Predicting missing segments in partially observed functions is challenging due to infinite-dimensionality, complex dependence within and across observations, and irregular noise. These challenges are further exacerbated by the existence of…

Methodology · Statistics 2025-11-20 Fangyi Wang , Sebastian Kurtek , Yuan Zhang

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

Machine Learning · Statistics 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

Methodology · Statistics 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

Manual segmentation of medical images (e.g., segmenting tumors in CT scans) is a high-effort task that can be accelerated with machine learning techniques. However, selecting the right segmentation approach depends on the evaluation…

Computer Vision and Pattern Recognition · Computer Science 2023-02-09 Seyed M. R. Modaresi , Aomar Osmani , Mohammadreza Razzazi , Abdelghani Chibani

This work considers semi-supervised segmentation as a dense prediction problem based on prototype vector correlation and proposes a simple way to represent each segmentation class with multiple prototypes. To avoid degenerate solutions, two…

Computer Vision and Pattern Recognition · Computer Science 2021-11-17 Jizong Peng , Christian Desrosiers , Marco Pedersoli