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Estimating the expectation of a real-valued function of a random variable from sample data is a critical aspect of statistical analysis, with far-reaching implications in various applications. Current methodologies typically assume…

Machine Learning · Computer Science 2026-02-18 Paweł Lorek , Rafał Nowak , Rafał Topolnicki , Tomasz Trzciński , Maciej Zięba , Aleksandra Krystecka

We present a method for image-based crowd counting, one that can predict a crowd density map together with the uncertainty values pertaining to the predicted density map. To obtain prediction uncertainty, we model the crowd density values…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Viresh Ranjan , Boyu Wang , Mubarak Shah , Minh Hoai

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Learning a medical image segmentation model is an inherently ambiguous task, as uncertainties exist in both images (noise) and manual annotations (human errors and bias) used for model training. To build a trustworthy image segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-08-17 Xinyu Bai , Wenjia Bai

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

Datasets collected from the open world unavoidably suffer from various forms of randomness or noiseness, leading to the ubiquity of aleatoric (data) uncertainty. Quantifying such uncertainty is particularly pivotal for object detection,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Peng Cui , Guande He , Dan Zhang , Zhijie Deng , Yinpeng Dong , Jun Zhu

The consideration of predictive uncertainty in medical imaging with deep learning is of utmost importance. We apply estimation of both aleatoric and epistemic uncertainty by variational Bayesian inference with Monte Carlo dropout to…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Max-Heinrich Laves , Sontje Ihler , Jacob F. Fast , Lüder A. Kahrs , Tobias Ortmaier

Oversight in medical images is a crucial problem, and timely reporting of medical images is desired. Therefore, an all-purpose anomaly detection method that can detect virtually all types of lesions/diseases in a given image is strongly…

Image and Video Processing · Electrical Eng. & Systems 2020-10-21 H. Shibata , S. Hanaoka , Y. Nomura , T. Nakao , I. Sato , D. Sato , N. Hayashi , O. Abe

Based on the Denoising Diffusion Probabilistic Model (DDPM), medical image segmentation can be described as a conditional image generation task, which allows to compute pixel-wise uncertainty maps of the segmentation and allows an implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-11-01 Xutao Guo , Yanwu Yang , Chenfei Ye , Shang Lu , Yang Xiang , Ting Ma

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

Machine Learning · Computer Science 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

In this work, we demonstrate how to reliably estimate epistemic uncertainty while maintaining the flexibility needed to capture complicated aleatoric distributions. To this end, we propose an ensemble of Normalizing Flows (NF), which are…

Machine Learning · Computer Science 2023-10-05 Lucas Berry , David Meger

Uncertainty estimation is critical for reliable medical image segmentation, particularly in retinal vessel analysis, where accurate predictions are essential for diagnostic applications. Deep Ensembles, where multiple networks are trained…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Jeremiah Fadugba , Petru Manescu , Bolanle Oladejo , Delmiro Fernandez-Reyes , Philipp Berens

Accurate medical image segmentation is crucial for diagnosis and analysis. However, the models without calibrated uncertainty estimates might lead to errors in downstream analysis and exhibit low levels of robustness. Estimating the…

Image and Video Processing · Electrical Eng. & Systems 2021-09-16 Yanwu Yang , Xutao Guo , Yiwei Pan , Pengcheng Shi , Haiyan Lv , Ting Ma

Predictive uncertainty estimation remains a challenging problem precluding the use of deep neural networks as subsystems within safety-critical applications. Aleatoric uncertainty is a component of predictive uncertainty that cannot be…

Machine Learning · Computer Science 2023-12-12 Angel Daruna , Yunye Gong , Abhinav Rajvanshi , Han-Pang Chiu , Yi Yao

Semantic segmentation of medical images is pivotal in applications like disease diagnosis and treatment planning. While deep learning has excelled in automating this task, a major hurdle is the need for numerous annotated segmentation…

Image and Video Processing · Electrical Eng. & Systems 2024-09-02 Li Zhang , Basu Jindal , Ahmed Alaa , Robert Weinreb , David Wilson , Eran Segal , James Zou , Pengtao Xie

Semi-supervised learning relaxes the need of large pixel-wise labeled datasets for image segmentation by leveraging unlabeled data. A prominent way to exploit unlabeled data is to regularize model predictions. Since the predictions of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Sukesh Adiga , Jose Dolz , Herve Lombaert

Image segmentation is a critical step in computational biomedical image analysis, typically evaluated using metrics like the Dice coefficient during training and validation. However, in clinical settings without manual annotations,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Sikha O K , Meritxell Riera-Marín , Adrian Galdran , Javier García Lopez , Julia Rodríguez-Comas , Gemma Piella , Miguel A. González Ballester

Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Luca Mossina , Corentin Friedrich

For medical image analysis, segmentation models trained on one or several domains lack generalization ability to unseen domains due to discrepancies between different data acquisition policies. We argue that the degeneration in segmentation…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Ziqi Zhou , Lei Qi , Yinghuan Shi

Surface normal estimation from a single image is an important task in 3D scene understanding. In this paper, we address two limitations shared by the existing methods: the inability to estimate the aleatoric uncertainty and lack of detail…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Gwangbin Bae , Ignas Budvytis , Roberto Cipolla