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We present a Bayesian perspective on quantifying the uncertainty of graph signals estimated or reconstructed from imperfect observations. We show that many conventional methods of graph signal estimation, reconstruction and imputation, can…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Lennard Rompelberg , Michael T. Schaub

We apply a linear Bayesian model to seismic tomography, a high-dimensional inverse problem in geophysics. The objective is to estimate the three-dimensional structure of the earth's interior from data measured at its surface. Since this…

Applications · Statistics 2013-12-11 Ran Zhang , Claudia Czado , Karin Sigloch

The use of deep learning for medical imaging has seen tremendous growth in the research community. One reason for the slow uptake of these systems in the clinical setting is that they are complex, opaque and tend to fail silently. Outside…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Terrance DeVries , Graham W. Taylor

Seismic traveltime tomography using transmission data is widely used to image the Earth's interior from global to local scales. In seismic imaging, it is used to obtain velocity models for subsequent depth-migration or full-waveform…

Computational Physics · Physics 2021-04-06 Umair bin Waheed , Tariq Alkhalifah , Ehsan Haghighat , Chao Song , Jean Virieux

Seismic imaging is a computationally demanding and data-intensive activity in the oil and gas industry. Reverse Time Migration (RTM) used in seismic applications needs to store the forward-propagated wavefield (or source wavefield) on disk.…

Geophysics · Physics 2022-04-08 Carlos H. S. Barbosa , Alvaro L. G. A. Coutinho

In safety-critical applications like medical diagnosis, certainty associated with a model's prediction is just as important as its accuracy. Consequently, uncertainty estimation and reduction play a crucial role. Uncertainty in predictions…

Image and Video Processing · Electrical Eng. & Systems 2023-09-12 Abhishek Singh Sambyal , Narayanan C. Krishnan , Deepti R. Bathula

While causal models are becoming one of the mainstays of machine learning, the problem of uncertainty quantification in causal inference remains challenging. In this paper, we study the causal data fusion problem, where datasets pertaining…

Machine Learning · Statistics 2021-06-08 Siu Lun Chau , Jean-François Ton , Javier González , Yee Whye Teh , Dino Sejdinovic

Machine learning classifiers are probabilistic in nature, and thus inevitably involve uncertainty. Predicting the probability of a specific input to be correct is called uncertainty (or confidence) estimation and is crucial for risk…

Machine Learning · Computer Science 2023-01-11 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

We propose a task-agnostic framework for multimodal fusion of time series and single timestamp images, enabling cross-modal generation and robust downstream performance. Our approach explores deterministic and learned strategies for time…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Gianfranco Basile , Johannes Jakubik , Benedikt Blumenstiel , Thomas Brunschwiler , Juan Bernabe Moreno

In this work we propose an Uncertainty Quantification methodology for sedimentary basins evolution under mechanical and geochemical compaction processes, which we model as a coupled, time-dependent, non-linear, monodimensional (depth-only)…

Numerical Analysis · Mathematics 2017-11-22 Ivo Colombo , Fabio Nobile , Giovanni Porta , Anna Scotti , Lorenzo Tamellini

Images of the Earth's interior can provide us with insight into the underlying properties of the Earth, such as how seismic activity might emerge and the interplay between seismic and volcanic activity. Understanding these systems requires…

Understanding Earth's subsurface structures has been and continues to be an essential component of various applications such as environmental monitoring, carbon sequestration, and oil and gas exploration. By viewing the seismic volumes that…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 G. AlRegib , M. Deriche , Z. Long , H. Di , Z. Wang , Y. Alaudah , M. Shafiq , M. Alfarraj

The ability to replicate predictions by machine learning (ML) or artificial intelligence (AI) models and results in scientific workflows that incorporate such ML/AI predictions is driven by numerous factors. An uncertainty-aware metric that…

Machine Learning · Computer Science 2023-08-28 Line Pouchard , Kristofer G. Reyes , Francis J. Alexander , Byung-Jun Yoon

Time-lapse images carry out important information about dynamic changes in Earth's interior which can be inferred using different Full Waveform Inversion (FWI) schemes. The estimation process is performed by manipulating more than one…

Iterative geostatistical history matching uses stochastic sequential simulation to generate and perturb subsurface Earth models to match historical production data. The areas of influence around each well are one of the key factors in…

Geophysics · Physics 2018-10-17 Eduardo Barrela , Vasily Demyanov , Leonardo Azevedo

Reconstructing PDE-governed fields from sparse and irregular measurements is challenging due to their ill-posed nature. Deterministic surrogates are trained on dense fields that struggle with limited measurements and uncertainty…

Machine Learning · Computer Science 2026-05-18 Hao Zhou , Rui Zhang , Han Wan , Hao Sun

Unstructured data from diverse sources, such as social media and aerial imagery, can provide valuable up-to-date information for intelligent situation assessment. Mining these different information sources could bring major benefits to…

Machine Learning · Computer Science 2019-04-08 Edwin Simpson , Steven Reece , Stephen J. Roberts

The modeling and uncertainty quantification of closed curves is an important problem in the field of shape analysis, and can have significant ramifications for subsequent statistical tasks. Many of these tasks involve collections of closed…

Machine Learning · Statistics 2023-03-15 Hengrui Luo , Justin D. Strait

In the last years there has been a considerable increase in the availability of continuous sensor measurements in a wide range of application domains, such as Location-Based Services (LBS), medical monitoring systems, manufacturing plants…

Databases · Computer Science 2015-03-20 Michele Dallachiesa , Besmira Nushi , Katsiaryna Mirylenka , Themis Palpanas

Data integration is a notoriously difficult and heuristic-driven process, especially when ground-truth data are not readily available. This paper presents a measure of uncertainty by providing maximal and minimal ranges of a query outcome…

Databases · Computer Science 2023-09-12 Deniz Turkcapar , Sanjay Krishnan