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Probabilistic models for sequential data are the basis for a variety of applications concerned with processing timely ordered information. The predominant approach in this domain is given by recurrent neural networks, implementing either an…

Machine Learning · Statistics 2022-11-21 Ronny Hug , Stefan Becker , Wolfgang Hübner , Michael Arens , Jürgen Beyerer

This paper proposes a new methodology for performing Bayesian inference in imaging inverse problems where the prior knowledge is available in the form of training data. Following the manifold hypothesis and adopting a generative modelling…

Methodology · Statistics 2021-03-19 Matthew Holden , Marcelo Pereyra , Konstantinos C. Zygalakis

Data assimilation leads naturally to a Bayesian formulation in which the posterior probability distribution of the system state, given the observations, plays a central conceptual role. The aim of this paper is to use this Bayesian…

Data Analysis, Statistics and Probability · Physics 2013-01-01 K. J. H. Law , A. M. Stuart

This paper evaluates heterogeneous information fusion using multi-task Gaussian processes in the context of geological resource modeling. Specifically, it empirically demonstrates that information integration across heterogeneous…

Machine Learning · Statistics 2013-09-06 Shrihari Vasudevan , Arman Melkumyan , Steven Scheding

Evaluating structural uncertainties associated with seismic imaging and target horizons can be of critical importance for decision-making related to oil and gas exploration and production. An important breakthrough for industrial…

Geophysics · Physics 2021-07-28 Jérémie Messud , Patrice Guillaume , Gilles Lambaré

Bayesian model selection enables comparison and ranking of conceptual subsurface models described by spatial prior models, according to the support provided by available geophysical data. Deep generative neural networks can efficiently…

Geophysics · Physics 2021-05-19 M. Amaya , N. Linde , E. Laloy

Seismic processing plays a crucial role in transforming raw data into high-quality subsurface images, pivotal for various geoscience applications. Despite its importance, traditional seismic processing techniques face challenges such as…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Fabian Fuchs , Mario Ruben Fernandez , Norman Ettrich , Janis Keuper

Bayesian computational strategies for inference can be inefficient in approximating the posterior distribution in models that exhibit some form of periodicity. This is because the probability mass of the marginal posterior distribution of…

Machine Learning · Statistics 2025-12-01 Javier Lopez-Santiago , Luca Martino , Joaquin Miguez , Gonzalo Vazquez-Vilar

Most studies on the application of geostatistical simulations based on multiple-point statistics (MPS) to hydrogeological modelling focus on relatively fine-scale models and on the estimation of facies-level structural uncertainty. Less…

We introduce the concept of conjugate prior models for a given likelihood function in Bayesian spatial inversion. The conjugate class of prior models can be selection extended and still remain conjugate. We demonstrate the generality of…

Methodology · Statistics 2018-12-06 Henning Omre , Kjartan Rimstad

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

Machine Learning · Statistics 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

A fundamental problem in computer vision is boundary estimation, where the goal is to delineate the boundary of objects in an image. In this paper, we propose a method which jointly incorporates geometric and topological information within…

Image and Video Processing · Electrical Eng. & Systems 2022-06-06 Hengrui Luo , Justin Strait

Convolutional neural networks (CNNs) have been established as the main workhorse in image data processing; nonetheless, they require large amounts of data to train, often produce overconfident predictions, and frequently lack the ability to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Sarah Harkins Dayton , Hayden Everett , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

Orthogonal polynomial approximations form the foundation to a set of well-established methods for uncertainty quantification known as polynomial chaos. These approximations deliver models for emulating physical systems in a variety of…

Computational Engineering, Finance, and Science · Computer Science 2022-03-23 Chun Yui Wong , Pranay Seshadri , Andrew B. Duncan , Ashley Scillitoe , Geoffrey Parks

Bayesian phylogenetic inference is currently done via Markov chain Monte Carlo (MCMC) with simple proposal mechanisms. This hinders exploration efficiency and often requires long runs to deliver accurate posterior estimates. In this paper,…

Machine Learning · Statistics 2024-05-24 Cheng Zhang , Frederick A. Matsen

In this paper a deterministic preprocessing algorithm is presented, whose output can be given as input to most state-of-the-art epipolar geometry estimation algorithms, improving their results considerably. They are now able to succeed on…

Computer Vision and Pattern Recognition · Computer Science 2015-01-28 Maria Kushnir , Ilan Shimshoni

Geospatial Knowledge Graphs (GeoKGs) model geoentities (e.g., places and natural features) and spatial relationships in an interconnected manner, providing strong knowledge support for geographic applications, including data retrieval,…

Artificial Intelligence · Computer Science 2024-10-25 Lei Hu , Wenwen Li , Yunqiang Zhu

The ability to predict future states is crucial to informed decision-making while interacting with dynamic environments. With cameras providing a prevalent and information-rich sensing modality, the problem of predicting future states from…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Nikhil U. Shinde , Xiao Liang , Florian Richter , Michael C. Yip

Gaussian process regression is a powerful method for predicting states based on given data. It has been successfully applied for probabilistic predictions of structural systems to quantify, for example, the crack growth in mechanical…

Machine Learning · Statistics 2022-06-20 Simon Pfingstl , Markus Zimmermann

In many real-world problems, there is a limited set of training data, but an abundance of unlabeled data. We propose a new method, Generative Posterior Networks (GPNs), that uses unlabeled data to estimate epistemic uncertainty in…

Machine Learning · Computer Science 2024-01-01 Melrose Roderick , Felix Berkenkamp , Fatemeh Sheikholeslami , Zico Kolter