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...
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physics and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property...
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In statistics, a Gaussian random field (GRF) is a random field involving Gaussian probability density functions of the variables. A one-dimensional GRF...
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Conditional random fields (CRFs) are a class of statistical modeling methods often applied in pattern recognition and machine learning and used for structured...
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Stochastic process (redirect from Random function)
theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables in a probability...
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Poisson point process (redirect from Poisson random point field)
statistics and related fields, a Poisson point process (also known as: Poisson random measure, Poisson random point field and Poisson point field) is a type of...
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and information entropy. The fields of mathematics, probability, and statistics use formal definitions of randomness, typically assuming that there...
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are nowhere differentiable. Random fields are indexed sets of random variables; a continuous random field is a random field that has a set of functions...
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Markov model (section Markov random field)
a Markov random field, each state depends on its neighbors in any of multiple directions. A Markov random field may be visualized as a field or graph...
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Random forests or random decision forests is an ensemble learning method for classification, regression and other tasks that works by creating a multitude...
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hidden Markov random field is a generalization of a hidden Markov model. Instead of having an underlying Markov chain, hidden Markov random fields have an underlying...
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functions, processes, fields, series, transformations, and also sets or collections of sets.” The modern-day usage of “random element” frequently assumes...
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function is defined is a time interval (time series) or a region of space (random field). Familiar examples of time series include stock market and exchange...
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A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which...
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statistical mechanics, the Gaussian free field (GFF) is a Gaussian random field, a central model of random surfaces (random height functions). The discrete version...
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the occurrence of a set of measured values is random. Randomization is widely applied in various fields, especially in scientific research, statistical...
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distribution. Random matrix theory (RMT) is the study of properties of random matrices, often as they become large. RMT provides techniques like mean-field theory...
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and the financial status of a gambler. Random walks have applications to engineering and many scientific fields including ecology, psychology, computer...
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Hammersley–Clifford theorem (redirect from Fundamental theorem of random fields)
by a Markov network (also known as a Markov random field). It is the fundamental theorem of random fields. It states that a probability distribution that...
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Gaussian field may refer to: A field of Gaussian rationals in number theory Gaussian free field, a concept in statistical mechanics A Gaussian random field, a...
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exploited in a sequence model such as a hidden Markov model or conditional random field that predicts the entire tag sequence for a sentence (rather than just...
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distributions are commonly used, namely, Bayesian networks and Markov random fields. Both families encompass the properties of factorization and independences...
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chain random field theory, which extends a single Markov chain into a multi-dimensional random field for geostatistical modeling. A Markov chain random field...
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such as a hidden Markov model. A Markov random field extends this property to two or more dimensions or to random variables defined for an interconnected...
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Gibbs measure (redirect from Gibbs random field)
case of a random field on a lattice. The idea of a Gibbs measure is, however, much more general than this. The definition of a Gibbs random field on a lattice...
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describes how much two random variables change together (their covariance) with varying spatial or temporal separation. For a random field or stochastic process...
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hardware random number generator (HRNG), true random number generator (TRNG), non-deterministic random bit generator (NRBG), or physical random number generator...
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consisting primarily of a random number table, was an important 20th century work in the field of statistics and random numbers. It was produced starting...
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mathematics, loop-erased random walk is a model for a random simple path with important applications in combinatorics, physics and quantum field theory. It is intimately...
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Quantum fluctuation (section Field fluctuations)
temporary random change in the amount of energy in a point in space, as prescribed by Werner Heisenberg's uncertainty principle. They are minute random fluctuations...
9 KB (1,020 words) - 07:17, 4 May 2025