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Random Fields in Physics, Biology and Data Science
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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Random fields and random sampling [PDF]
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
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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
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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
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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
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Spatial Warped Gaussian Processes: Estimation and Efficient Field Reconstruction
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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ULTRAMETRIC RANDOM FIELD [PDF]
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.
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The behavior of partially coherent twisted space-time beams in atmospheric turbulence
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
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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
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Kernel Distance Measures for Time Series, Random Fields and Other Structured Data
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
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