What Is the Spectral Theory of Random Fields? by Anatoliy Malyarenko

“…It turns out that the spectral expansions of multi-dimensional homogeneous and isotropic random fields are governed by a pair of convex compacts and are especially simple when these compacts are simplexes. …”
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First-order planar autoregressive model by Sergiy Shklyar

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Polar Functions for Anisotropic Gaussian Random Fields by Zhenlong Chen

“…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. …”
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The risk of classification based on observations of anisotropic Gaussian random fields by Jūratė Šaltytė, Kęstutis Dučinskas

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Strong Laws of Large Numbers for 𝔹-Valued Random Fields by Zbigniew A. Lagodowski

“…We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric assumptions. …”
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Comparisons of spatial prediction methods for stationary Gaussian random fields by Kęstutis Dučinskas, Žilvinas Vainilavičius

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Asymptotic Properties of Functionals of the Squared Periodograms for Stationary Random Fields by Lyudmyla Sakhno

“…Stationary Gaussian random fields are considered. Two limit theorems are stated: for the first one the certain condition of integrability of the spectral density of the field is assumed, and the second result is for spectral densities with the prescribed behavior near the points of singularities. …”
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Bearing Fault Classification Based on Conditional Random Field by Guofeng Wang, Xiaoliang Feng, Chang Liu

“…To overcome the drawbacks of the hidden Markov model (HMM) and improve the diagnosis accuracy, conditional random field (CRF) model based classifier is proposed. …”
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Conditional Random Fields and Supervised Learning in Automated Skin Lesion Diagnosis by Paul Wighton, Tim K. Lee, Greg Mori, Harvey Lui, David I. McLean, M. Stella Atkins

“…The second model is based on conditional random fields (CRFs), where dependencies between pixels are defined using a graph structure. …”
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Classification of points in 2-dimensional space based on realizations of Gaussian random fields by Jūratė Šaltytė, Kęstutis Dučinskas

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Random fields and up scaling, towards a more predictive probabilistic quantitative hydrogeology by Noetinger, Benoît

“…Random fields are becoming a mature tool sharing applications in many area of physics, mechanics and geosciences. …”
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Refinement of the L1 estimate in the central limit theorem for m-dependent random fields by Jonas Sunklodas

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Hyperspectral Image Classification Using Spectral-Spatial Dual Random Fields With Gaussian and Markov Processes by Yaqiu Zhang, Lizhi Liu, Xinnian Yang

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Research Progress on Failure Probability Analysis of Earth-Rockfill Dams Based on Random Field Models by WANG Wei, LIAO Zhihao, LIAO Jielin

Subjects: “…random field…”
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A Markov Random Field and Adaptive Regularization Embedded Level Set Segmentation Model Solving by Graph Cuts by Dengwei Wang

“…This paper presents a novel Markov random field (MRF) and adaptive regularization embedded level set model for robust image segmentation and uses graph cuts optimization to numerically solve it. …”
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Large-deformation finite-element modeling of seismic landslide runout: 3D probabilistic analysis with cross-correlated random field by Xuejian Chen, Shunping Ren, Kai Yao, Rita Leal Sousa

“…LDFE model results are validated by comparing them against previous studies, followed by an examination of the effects of univariable, uncorrelated bivariable, and cross-correlated bivariable random fields on landslide runout behavior. The study's findings reveal that integrating variability in both friction angle and cohesion within uncorrelated bivariable random fields markedly influences runout distances when compared with univariable random fields. …”
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Recognition Algorithm of Acoustic Emission Signals Based on Conditional Random Field Model in Storage Tank Floor Inspection Using Inner Detector by Yibo Li, Yuxiang Zhang, Huiyu Zhu, Rongxin Yan, Yuanyuan Liu, Liying Sun, Zhoumo Zeng

“…To solve this problem, a novel AE inner detector, which works inside the storage tank, is adopted and a pattern recognition algorithm based on CRF (Conditional Random Field) model is presented. The algorithm is applied to differentiate the corrosion signals from interference signals, especially drop-back signals caused by condensation. …”
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Improvement of CRF-Based Saliency Detection Algorithm Using Matrix Decomposition Based Features by Mohammad Shouryabi, Mohammad Javad Fadaeieslam

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A novel approach to investigate the pore network and clogging of pervious concrete by Xiang Zhang, Longhui Dong, Wenjie Yu, Enzhong Ren, Runzhu Shi

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On adaptive refinements in discrete probabilistic fracture models by J. Eliáš

Subjects: “…Adaptivity; Discrete model; Probability; Random field…”
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