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
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Snake based Unsupervised Texture Segmentation using Gaussian Markov Random Field Models [PDF]
, 2011 A functional for unsupervised texture segmentation is investigated in this paper. An auto-normal model based on Markov Random Fields is employed to model textures. The functional investigated here is optimized with respect to the model parameters and the
Mahmoodi, Sasan +3 more
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Adaptive Gaussian Markov Random Fields with Applications in Human Brain Mapping [PDF]
, 2005 Functional magnetic resonance imaging (fMRI) has become the standard technology in human brain mapping. Analyses of the massive spatio-temporal fMRI data sets often focus on parametric or nonparametric modeling of the temporal component, while spatial ...
Brezger, Andreas +2 more
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Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices [PDF]
, 2012 Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense.
Diamond, Phil +2 more
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Correlations and screening of topological charges in Gaussian random fields [PDF]
, 2003 Two-point topological charge correlation functions of several types of geometric singularity in Gaussian random fields are calculated explicitly, using a general scheme: zeros of n-dimensional random vectors, signed by the sign of their Jacobian ...
Dennis, MR +2 more
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Generalized dimensions of images of measures under Gaussian processes [PDF]
, 2014 26 pagesWe show that for certain Gaussian random processes and fields X:RN→Rd, Dq(μx) = min {d, 1/α Dq (μ)} a.s., for an index α which depends on Hölder properties and strong local nondeterminism of X, where q>1, where Dq denotes generalized q-dimension ...
Falconer, Kenneth, Xiao, Yimin
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Statistical classification based on observations of random Gaussian fields
Mathematical Modelling and Analysis, 1999 The problem of classification of objects located in domain D ⊂ R2 based on observations of random Gaussian fields with a factorized covariance function is considered.
J. Šaltyte, K. Dučinskas
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Tail Bounds for ℓ1 Norm of Gaussian Random Matrices with Applications
Journal of Mathematics, 2022 As major components of the random matrix theory, Gaussian random matrices have been playing an important role in many fields, because they are both unitary invariant and have independent entries and can be used as models for multivariate data or ...
Xianjie Gao +2 more
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Spatial Warped Gaussian Processes: Estimation and Efficient Field Reconstruction
Entropy, 2021 A class of models for non-Gaussian spatial random fields is explored for spatial field reconstruction in environmental and sensor network monitoring.
Gareth W. Peters +3 more
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Water Resources Research, 2023 Inverse modeling of hydraulic tomography (HT) is computationally expensive for estimating high‐dimensional hydrogeologic parameter fields. In this work, we develop a novel method called HT‐INV‐NN, which combines dimensionality reduction techniques with a
Quan Guo, Ming Liu, Jian Luo
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