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Random Fields in Physics, Biology and Data Science

open access: yesFrontiers 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
doaj   +1 more source

Random fields and random sampling [PDF]

open access: yesKybernetika, 2020
The authors study the limit in distribution of the maximum of a stationary bivariate real random field, sampled at double random times under some dependence conditions. It is shown that the limit distribution is a max-semistable distribution when the random samples have a geometric growth pattern. When the random field is sampled at double random times,
Dias, Sandra, Temido, Maria da Graça
openaire   +1 more source

Machine learning opportunities to conduct high-fidelity earthquake simulations in multi-scale heterogeneous geology

open access: yesFrontiers in Earth Science, 2022
The 2019 Le Teil earthquake is an illustrative example of a moderate (MW 4.9) yet damaging event, occurring at shallow depth (≈1 km) in a region with little to no geophysical data available.
Fanny Lehmann   +4 more
doaj   +1 more source

Impact of Soil Properties’ Spatial Correlation Lengths and Inclination on Permanent Slope Displacements Due to Earthquake Excitation

open access: yesApplied Sciences, 2023
Natural disasters, when and where they occur, often cause serious social and economic consequences, which require an urgent solution to the problem. In particular, Greece, which is characterized by a complex geological structure and intense tectonic ...
Nikolaos Alamanis, Panagiotis Dakoulas
doaj   +1 more source

Random field optimization

open access: yesComputers & Chemical Engineering, 2022
We present a new modeling paradigm for optimization that we call random field optimization. Random fields are a powerful modeling abstraction that aims to capture the behavior of random variables that live on infinite-dimensional spaces (e.g., space and time) such as stochastic processes (e.g., time series, Gaussian processes, and Markov processes ...
Pulsipher, Joshua L.   +2 more
openaire   +2 more sources

Spatial Warped Gaussian Processes: Estimation and Efficient Field Reconstruction

open access: yesEntropy, 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
doaj   +1 more source

ULTRAMETRIC RANDOM FIELD [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2006
Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ...
Khrennikov, A. Yu., Kozyrev, S. V.
openaire   +2 more sources

The behavior of partially coherent twisted space-time beams in atmospheric turbulence

open access: yesFrontiers in Physics, 2023
We study how atmospheric turbulence affects twisted space-time beams, which are non-stationary random optical fields whose space and time dimensions are coupled with a stochastic twist.
Milo W. Hyde IV
doaj   +1 more source

Random-field random surfaces

open access: yesProbability Theory and Related Fields, 2023
We study how the typical gradient and typical height of a random surface are modified by the addition of quenched disorder in the form of a random independent external field. The results provide quantitative estimates, sharp up to multiplicative constants, in the following cases.
Paul Dario, Matan Harel, Ron Peled
openaire   +3 more sources

Kernel Distance Measures for Time Series, Random Fields and Other Structured Data

open access: yesFrontiers in Applied Mathematics and Statistics, 2021
This paper introduces kdiff, a novel kernel-based measure for estimating distances between instances of time series, random fields and other forms of structured data.
Srinjoy Das   +2 more
doaj   +1 more source

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