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Uncertainties from model parameters and model discrepancy from small-scale models impact the accuracy and reliability of predictions of large-scale systems. Inadequate representation of these uncertainties may result in inaccurate and…

Methodology · Statistics 2014-12-18 K. Sham Bhat , David S. Mebane , Curtis B. Storlie , Priyadarshi Mahapatra

Uncertainty quantification is essential when dealing with ill-conditioned inverse problems due to the inherent nonuniqueness of the solution. Bayesian approaches allow us to determine how likely an estimation of the unknown parameters is…

Machine Learning · Statistics 2020-01-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

EEG decoding systems based on deep neural networks have been widely used in decision making of brain computer interfaces (BCI). Their predictions, however, can be unreliable given the significant variance and noise in EEG signals. Previous…

Signal Processing · Electrical Eng. & Systems 2022-10-04 Tiehang Duan , Zhenyi Wang , Sheng Liu , Sargur N. Srihari , Hui Yang

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

Machine Learning · Statistics 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines

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

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

Estimating uncertainty in deep learning models is critical for reliable decision-making in high-stakes applications such as medical imaging. Prior research has established that the difference between an input sample and its reconstructed…

Machine Learning · Computer Science 2026-01-28 Xinran Xu , Li Rong Wang , Xiuyi Fan

The application of deep learning models to large-scale data sets requires means for automatic quality assurance. We have previously developed a fully automatic algorithm for carotid artery wall segmentation in black-blood MRI that we aim to…

Image and Video Processing · Electrical Eng. & Systems 2023-08-21 Elina Thibeau-Sutre , Dieuwertje Alblas , Sophie Buurman , Christoph Brune , Jelmer M. Wolterink

Medical images are increasingly used as input to deep neural networks to produce quantitative values that aid researchers and clinicians. However, standard deep neural networks do not provide a reliable measure of uncertainty in those…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Jacob C. Reinhold , Yufan He , Shizhong Han , Yunqiang Chen , Dashan Gao , Junghoon Lee , Jerry L. Prince , Aaron Carass

Recent deep learning approaches focus on improving quantitative scores of dedicated benchmarks, and therefore only reduce the observation-related (aleatoric) uncertainty. However, the model-immanent (epistemic) uncertainty is less…

Image and Video Processing · Electrical Eng. & Systems 2021-10-25 Dominik Narnhofer , Alexander Effland , Erich Kobler , Kerstin Hammernik , Florian Knoll , Thomas Pock

Attention maps, a popular heatmap-based explanation method for Visual Question Answering (VQA), are supposed to help users understand the model by highlighting portions of the image/question used by the model to infer answers. However, we…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Arijit Ray , Michael Cogswell , Xiao Lin , Kamran Alipour , Ajay Divakaran , Yi Yao , Giedrius Burachas

Uncertainty quantification in image retrieval is crucial for downstream decisions, yet it remains a challenging and largely unexplored problem. Current methods for estimating uncertainties are poorly calibrated, computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Frederik Warburg , Martin Jørgensen , Javier Civera , Søren Hauberg

Purpose: This study presents a Deep Learning (DL)-based quality assessment (QA) approach for evaluating auto-generated contours (auto-contours) in radiotherapy, with emphasis on Online Adaptive Radiotherapy (OART). Leveraging Bayesian…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Biling Wang , Austen Maniscalco , Ti Bai , Siqiu Wang , Michael Dohopolski , Mu-Han Lin , Chenyang Shen , Dan Nguyen , Junzhou Huang , Steve Jiang , Xinlei Wang

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

In computational inverse problems, it is common that a detailed and accurate forward model is approximated by a computationally less challenging substitute. The model reduction may be necessary to meet constraints in computing time when…

Methodology · Statistics 2018-02-14 Daniela Calvetti , Matthew M. Dunlop , Erkki Somersalo , Andrew M. Stuart

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

Machine Learning · Computer Science 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora

Speed-of-sound (SoS) is a biomechanical characteristic of tissue, and its imaging can provide a promising biomarker for diagnosis. Reconstructing SoS images from ultrasound acquisitions can be cast as a limited-angle computed-tomography…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Sonia Laguna , Lin Zhang , Can Deniz Bezek , Monika Farkas , Dieter Schweizer , Rahel A. Kubik-Huch , Orcun Goksel

In principle, deep learning models trained on medical time-series, including wearable photoplethysmography (PPG) sensor data, can provide a means to continuously monitor physiological parameters outside of clinical settings. However, there…

Recurrent neural network based solutions are increasingly being used in the analysis of longitudinal Electronic Health Record data. However, most works focus on prediction accuracy and neglect prediction uncertainty. We propose Deep Kernel…

Machine Learning · Computer Science 2021-07-27 Zhiliang Wu , Yinchong Yang , Peter A. Fasching , Volker Tresp
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