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This paper presents an efficient Bayesian framework for solving nonlinear, high-dimensional model calibration problems. It is based on a Variational Bayesian formulation that aims at approximating the exact posterior by means of solving an…

Applications · Statistics 2015-11-02 Isabell M. Franck , P. S. Koutsourelakis

Over the past three decades, defocus has consistently provided groundbreaking depth information in scene images. However, accurately estimating depth from 2D images continues to be a persistent and fundamental challenge in the field of 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Akbar Saadat

Empowered by deep learning, recent methods for material capture can estimate a spatially-varying reflectance from a single photograph. Such lightweight capture is in stark contrast with the tens or hundreds of pictures required by…

Graphics · Computer Science 2019-06-28 Valentin Deschaintre , Miika Aittala , Fredo Durand , George Drettakis , Adrien Bousseau

We present a method for determining the background of Fermi GBM GRBs using the satellite positional information and a physical model. Since the polynomial fitting method typically used for GRBs is generally only indicative of the background…

Instrumentation and Methods for Astrophysics · Physics 2013-09-11 Dorottya Szécsi , Zsolt Bagoly , József Kóbori , István Horváth , Lajos G. Balázs

Deploying deep learning (DL) models in medical applications relies on predictive performance and other critical factors, such as conveying trustworthy predictive uncertainty. Uncertainty estimation (UE) methods provide potential solutions…

Image and Video Processing · Electrical Eng. & Systems 2024-03-26 Kudaibergen Abutalip , Numan Saeed , Ikboljon Sobirov , Vincent Andrearczyk , Adrien Depeursinge , Mohammad Yaqub

Multi-fidelity methods are prominently used when cheaply-obtained, but possibly biased and noisy, observations must be effectively combined with limited or expensive true data in order to construct reliable models. This arises in both…

Machine Learning · Statistics 2019-03-19 Kurt Cutajar , Mark Pullin , Andreas Damianou , Neil Lawrence , Javier González

Depth from focus (DFF) is one of the classical ill-posed inverse problems in computer vision. Most approaches recover the depth at each pixel based on the focal setting which exhibits maximal sharpness. Yet, it is not obvious how to…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Caner Hazirbas , Sebastian Georg Soyer , Maximilian Christian Staab , Laura Leal-Taixé , Daniel Cremers

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

Machine Learning · Computer Science 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Alex Kendall , Yarin Gal

Shape completion, i.e., predicting the complete geometry of an object from a partial observation, is highly relevant for several downstream tasks, most notably robotic manipulation. When basing planning or prediction of real grasps on…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Matthias Humt , Dominik Winkelbauer , Ulrich Hillenbrand

Blind image super-resolution (BISR) aims to reconstruct a high-resolution image from its low-resolution counterpart degraded by unknown blur kernel and noise. Many deep neural network based methods have been proposed to tackle this…

Image and Video Processing · Electrical Eng. & Systems 2022-03-14 Hongyi Zheng , Hongwei Yong , Lei Zhang

Scientific imaging problems are often severely ill-posed, and hence have significant intrinsic uncertainty. Accurately quantifying the uncertainty in the solutions to such problems is therefore critical for the rigorous interpretation of…

Image and Video Processing · Electrical Eng. & Systems 2024-10-22 Julian Tachella , Marcelo Pereyra

Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

Machine Learning · Computer Science 2021-11-19 Lara Hoffmann , Clemens Elster

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang

In image enhancement tasks, such as low-light and underwater image enhancement, a degraded image can correspond to multiple plausible target images due to dynamic photography conditions. This naturally results in a one-to-many mapping…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Guoxi Huang , Qirui Yang , Ruirui Lin , Zipeng Qi , David Bull , Nantheera Anantrasirichai

We address the problem of estimating a high quality dense depth map from a single RGB input image. We start out with a baseline encoder-decoder convolutional neural network architecture and pose the question of how the global processing of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Shariq Farooq Bhat , Ibraheem Alhashim , Peter Wonka

Variational Bayes (VB) is a popular and computationally efficient method to approximate the posterior distribution in Bayesian inference, especially when the exact posterior is analytically intractable and sampling-based approaches are…

Methodology · Statistics 2025-12-30 Jiaming Liu , Meng Li

Deep Neural Networks (DNNs), despite their tremendous success in recent years, could still cast doubts on their predictions due to the intrinsic uncertainty associated with their learning process. Ensemble techniques and post-hoc…

Machine Learning · Computer Science 2022-03-03 Chunwei Ma , Ziyun Huang , Jiayi Xian , Mingchen Gao , Jinhui Xu

A covariant energy density functional is calibrated using a principled Bayesian statistical framework informed by experimental binding energies and charge radii of several magic and semi-magic nuclei. The Bayesian sampling required for the…

Nuclear Theory · Physics 2022-09-28 Pablo Giuliani , Kyle Godbey , Edgard Bonilla , Frederi Viens , Jorge Piekarewicz

Depth estimation features are helpful for 3D recognition. Commodity-grade depth cameras are able to capture depth and color image in real-time. However, glossy, transparent or distant surface cannot be scanned properly by the sensor. As a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Yu-Kai Huang , Tsung-Han Wu , Yueh-Cheng Liu , Winston H. Hsu
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