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Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

Robotics · Computer Science 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

Applications · Statistics 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

Ising models originated in statistical physics and are widely used in modeling spatial data and computer vision problems. However, statistical inference of this model remains challenging due to intractable nature of the normalizing constant…

Methodology · Statistics 2021-09-06 Minwoo Kim , Shrijita Bhattacharya , Tapabrata Maiti

Calibration or parameter identification is used with computational mechanics models related to observed data of the modeled process to find model parameters such that good similarity between model prediction and observation is achieved. We…

Computational Engineering, Finance, and Science · Computer Science 2022-12-26 Harald Willmann , Jonas Nitzler , Sebastian Brandstaeter , Wolfgang A. Wall

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

We consider the positioning problem in non line-of-sight (NLoS) situations, where several base stations (BS) try to locate a user equipment (UE) based on uplink angle of arrival (AoA) measurements and a digital twin of the environment. Ray…

Information Theory · Computer Science 2024-08-22 Vincent Corlay , Viet-Hoa Nguyen , Nicolas Gresset

Uncertainty quantification for full-waveform inversion provides a probabilistic characterization of the ill-conditioning of the problem, comprising the sensitivity of the solution with respect to the starting model and data noise. This…

Geophysics · Physics 2020-04-20 Gabrio Rizzuti , Ali Siahkoohi , Philipp A. Witte , Felix J. Herrmann

Estimating position and orientation change of a mobile platform from two consecutive point clouds provided by a high-resolution sensor is a key problem in autonomous navigation. In particular, scan matching algorithms aim to find the…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Rico Mendrzik , Florian Meyer

Lagrangian Particle Tracking (LPT) enables practitioners to study various concepts in turbulence by measuring particle positions in flows of interest. This data is subject to measurement errors, and filtering techniques are applied to…

Fluid Dynamics · Physics 2026-01-16 Griffin M. Kearney , Kasey M. Laurent , Reece V. Kearney

This paper proposes a technique to identify individual pipe roughness parameters in a water distribution network by means of the inversion of the steady-state hydraulic network equations. By enabling the reconstruction of these hydraulic…

Systems and Control · Electrical Eng. & Systems 2019-11-13 Stefan Kaltenbacher , Martin Steinberger , Martin Horn

Sensors in high-precision mechatronic systems require accurate calibration, which is achieved using test beds that, in turn, require even more accurate calibration. The aim of this paper is to develop a cascaded calibration method for…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Max van Meer , Emre Deniz , Gert Witvoet , Tom Oomen

A Bayesian model to infer edge electron density profiles is developed for the JET lithium beam emission spectroscopy system, measuring Li I line radiation using 26 channels with ~1 cm spatial resolution and 10~20 ms temporal resolution. The…

Plasma Physics · Physics 2017-02-01 Sehyun Kwak , J. Svensson , M. Brix , Y. -c. Ghim

Recent years have seen an increased interest in the application of methods and techniques commonly associated with machine learning and artificial intelligence to spatial statistics. Here, in a celebration of the ten-year anniversary of the…

Methodology · Statistics 2022-01-25 Tin Lok James Ng , Andrew Zammit-Mangion

This article revisits the problem of Bayesian shape-restricted inference in the light of a recently developed approximate Gaussian process that admits an equivalent formulation of the shape constraints in terms of the basis coefficients. We…

Methodology · Statistics 2019-02-14 Pallavi Ray , Debdeep Pati , Anirban Bhattacharya

For one-component volatile fluids governed by dispersion forces an effective interface Hamiltonian, derived from a microscopic density functional theory, is used to study complete wetting of geometrically structured substrates. Also the…

Statistical Mechanics · Physics 2009-11-13 M. Tasinkevych , S. Dietrich

This study proposes a novel approach to quantifying uncertainties of constitutive relations inferred from noisy experimental data using inverse modelling. We focus on electrochemical systems in which charged species (e.g., Lithium ions) are…

Chemical Physics · Physics 2020-03-12 Athinthra Sethurajan , Sergey Krachkovskiy , Gillian Goward , Bartosz Protas

Fluctuations of the glacier calving front have an important influence over the ice flow of whole glacier systems. It is therefore important to precisely monitor the position of the calving front. However, the manual delineation of SAR…

Machine Learning · Computer Science 2021-05-05 Andreas Hartmann , Amirabbas Davari , Thorsten Seehaus , Matthias Braun , Andreas Maier , Vincent Christlein

We present a methodology for quantifying seismic velocity and pore pressure uncertainty that incorporates information regarding the geological history of a basin, rock physics, well log, drilling and seismic data. In particular, our…

Geophysics · Physics 2019-11-21 Anshuman Pradhan , Huy Q. Le , Nader C. Dutta , Biondo Biondi , Tapan Mukerji

The use of Gaussian processes (GPs) is supported by efficient sampling algorithms, a rich methodological literature, and strong theoretical grounding. However, due to their prohibitive computation and storage demands, the use of exact GPs…

Statistics Theory · Mathematics 2022-07-27 Kelly R. Moran , Matthew W. Wheeler

Conjugated organic molecules play a central role in a wide range of optoelectronic devices, including organic light-emitting diodes, organic field-effect transistors, and organic solar cells. A major bottleneck in the computational design…

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