Results 11 to 20 of about 57,267 (303)
Fast simulation of Gaussian random fields [PDF]
Monte Carlo Methods and Applications, 2011 15 pages, 8 figures. Typos corrected in Algorithm 3, Remark (4), Algorithm 4, Remark (5), and Algorithm 5, Remark (5)
Annika Lang
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Multiple points of Gaussian random fields [PDF]
Electronic Journal of Probability, 2021 This paper is concerned with the existence of multiple points of Gaussian random fields. Under the framework of Dalang et al. (2017), we prove that, for a wide class of Gaussian random fields, multiple points do not exist in critical dimensions. The result is applicable to fractional Brownian sheets and the solutions of systems of stochastic heat and ...
Dalang, Robert C. +3 more
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PREDICTION INTERVALS FOR INTEGRALS OF GAUSSIAN RANDOM FIELDS. [PDF]
Comput Stat Data Anal, 2015 Methodology is proposed for the construction of prediction intervals for integrals of Gaussian random fields over bounded regions (called block averages in the geostatistical literature) based on observations at a finite set of sampling locations. Two bootstrap calibration algorithms are proposed, termed indirect and direct, aimed at improving upon ...
De Oliveira V, Kone B.
europepmc +5 more sources
Redundancy in Gaussian random fields [PDF]
ESAIM: Probability and Statistics, 2020 In this paper, we introduce a notion of spatial redundancy in Gaussian random fields. This study is motivated by applications of thea contrariomethod in image processing. We define similarity functions on local windows in random fields over discrete or continuous domains.
de Bortoli, Valentin +3 more
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Polar Functions for Anisotropic Gaussian Random Fields [PDF]
Abstract and Applied Analysis, 2014 Let X be an (N, d)-anisotropic Gaussian random field. Under some general conditions on X, we establish a relationship between a class of continuous functions satisfying the Lipschitz condition and a class of polar functions of X. We prove upper and lower
Zhenlong Chen
doaj +2 more sources
Gaussian random fields as an abstract representation of patient metadata for multimodal medical image segmentation [PDF]
Scientific ReportsGrowing rates of chronic wound occurrence, especially in patients with diabetes, has become a recent concerning trend. Chronic wounds are difficult and costly to treat, and have become a serious burden on health care systems worldwide.
Bill Cassidy +6 more
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Optimal Transport between Gaussian random fields [PDF]
2021 29th Mediterranean Conference on Control and Automation (MED), 2021 We consider the optimal transport problem between zero mean Gaussian stationary random fields both in the aperiodic and periodic case. We show that the solution corresponds to a weighted Hellinger distance between the multivariate and multidimensional power spectral densities of the random fields.
Mattia Zorzi, Zorzi M.
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Expected Number and Height Distribution of Critical Points of Smooth Isotropic Gaussian Random Fields. [PDF]
Bernoulli (Andover), 2018 Cheng D, Schwartzman A.
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Random Fields in Physics, Biology and Data Science
Frontiers in Physics, 2021 A random field is the representation of the joint probability distribution for a set of random variables. Markov fields, in particular, have a long standing tradition as the theoretical foundation of many applications in statistical physics and ...
Enrique Hernández-Lemus +1 more
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Optimization of Gaussian Random Fields [PDF]
SIAM Journal on Scientific Computing, 2015 Many engineering systems are subject to spatially distributed uncertainty, i.e. uncertainty that can be modeled as a random field. Altering the mean or covariance of this uncertainty will in general change the statistical distribution of the system outputs.
Dow, Eric, Wang, Qiqi
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