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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…

机器人学 · 计算机科学 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…

应用统计 · 统计学 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…

统计方法学 · 统计学 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…

计算工程、金融与科学 · 计算机科学 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…

统计方法学 · 统计学 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…

信息论 · 计算机科学 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…

地球物理 · 物理学 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…

信号处理 · 电气工程与系统科学 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…

流体动力学 · 物理学 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…

系统与控制 · 电气工程与系统科学 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…

系统与控制 · 电气工程与系统科学 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…

等离子体物理 · 物理学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计力学 · 物理学 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…

化学物理 · 物理学 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…

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…

地球物理 · 物理学 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…

统计理论 · 数学 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…