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Random field

In physics and mathematics, a random field is a random function over an arbitrary domain (usually a multi-dimensional space such as R n {\displaystyle \mathbb {R} ^{n}} ). That is, it is a function f ( x ) {\displaystyle f(x)} that takes on a random value at each point x ∈ R n {\displaystyle x\in \mathbb {R} ^{n}} (or some other domain). It is also…

Applications, Examples & Formal definition

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Formal definition

Examples

Applications

Tensor-valued random fields

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Map overview Semantic statistics

Random field

Nodes42
Edges41
Triples54
Avg. degree1.95
Density0.047619
Components1

How this topic connects Entity context

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Random field

Top relations

related to Further reading · 26
Random field → Adler, An Introduction, Anthony, Besag, Davar Khoshnevisan, David, Denumerable Markov Chains, Geometry, Griffeath, In Kemeny, ISBN, John, Jonathan, Journal, Knapp, Lattice Systems, Laurie, Multiparameter Processes, Random Fields, Royal Statistical Society
has application · 6
Random field → For, Ising, One, Random, This, When
related to Tensor-valued random fields · 6
Random field → Monte Carlo, Random, RVE, SVE, The, This
related to Examples · 5
Random field → Euclidean, In, More, Suppose, This
is a · 4
Random field → collection of X-valued random variables indexed by elements in a topological space T, generalization of a stochastic process where the underlying parameter need no longer be real or integer valued, list of random numbers whose indices are identified with a discrete set of points in a space, random function over an arbitrary domain
related to Formal definition · 4
Random field → Given, Omega, That, X-valued

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Important terminology

random field fields displaystyle values example also space domain variable statistical function stochastic process probability one needed used value sometimes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Random fieldis arandom function over an arbitrary domain0.90text
Random fieldis ageneralization of a stochastic process where the underlying parameter need no longer be real or integer valued0.90text
Random fieldis acollection of X-valued random variables indexed by elements in a topological space T0.90text
Random fieldis alist of random numbers whose indices are identified with a discrete set of points in a space0.90text
R ninstance ofusually a multi-dimensional space0.80text
waterinstance ofparticularly those that mimic natural surfaces0.80text
earthinstance ofparticularly those that mimic natural surfaces0.80text
Random fieldhas applicationWhen0.60section
Random fieldhas applicationFor0.60section
Random fieldhas applicationThis0.60section
Random fieldhas applicationOne0.60section
Random fieldhas applicationIsing0.60section

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