• 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...
    9 KB (1,128 words) - 01:57, 16 May 2025
  • Thumbnail for Markov random field
    physics and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property...
    20 KB (2,817 words) - 01:41, 17 April 2025
  • In statistics, a Gaussian random field (GRF) is a random field involving Gaussian probability density functions of the variables. A one-dimensional GRF...
    2 KB (262 words) - 15:31, 16 March 2025
  • Conditional random fields (CRFs) are a class of statistical modeling methods often applied in pattern recognition and machine learning and used for structured...
    17 KB (2,065 words) - 17:49, 16 December 2024
  • Thumbnail for Stochastic process
    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...
    168 KB (18,657 words) - 20:31, 17 May 2025
  • Thumbnail for Poisson point process
    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...
    117 KB (15,356 words) - 21:43, 4 May 2025
  • Thumbnail for Randomness
    and information entropy. The fields of mathematics, probability, and statistics use formal definitions of randomness, typically assuming that there...
    34 KB (4,316 words) - 10:18, 11 February 2025
  • Thumbnail for Field (physics)
    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...
    36 KB (4,401 words) - 03:24, 25 May 2025
  • 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...
    10 KB (1,231 words) - 16:39, 29 May 2025
  • Random forests or random decision forests is an ensemble learning method for classification, regression and other tasks that works by creating a multitude...
    46 KB (6,483 words) - 14:03, 3 March 2025
  • 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...
    2 KB (315 words) - 18:10, 13 January 2021
  • functions, processes, fields, series, transformations, and also sets or collections of sets.” The modern-day usage of “random element” frequently assumes...
    13 KB (1,890 words) - 19:13, 13 October 2023
  • 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...
    5 KB (407 words) - 21:21, 25 August 2023
  • Thumbnail for Random variable
    A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which...
    42 KB (6,634 words) - 15:00, 24 May 2025
  • statistical mechanics, the Gaussian free field (GFF) is a Gaussian random field, a central model of random surfaces (random height functions). The discrete version...
    10 KB (1,511 words) - 20:54, 1 March 2025
  • the occurrence of a set of measured values is random. Randomization is widely applied in various fields, especially in scientific research, statistical...
    23 KB (2,615 words) - 12:29, 23 May 2025
  • 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...
    50 KB (7,265 words) - 15:28, 21 May 2025
  • Thumbnail for Random walk
    and the financial status of a gambler. Random walks have applications to engineering and many scientific fields including ecology, psychology, computer...
    56 KB (7,703 words) - 20:27, 29 May 2025
  • 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...
    11 KB (1,223 words) - 00:09, 26 May 2025
  • 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...
    241 bytes (64 words) - 20:24, 30 January 2009
  • 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...
    6 KB (773 words) - 20:14, 1 February 2025
  • distributions are commonly used, namely, Bayesian networks and Markov random fields. Both families encompass the properties of factorization and independences...
    11 KB (1,278 words) - 04:58, 15 April 2025
  • chain random field theory, which extends a single Markov chain into a multi-dimensional random field for geostatistical modeling. A Markov chain random field...
    2 KB (234 words) - 15:05, 12 September 2021
  • Thumbnail for Markov property
    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...
    8 KB (1,124 words) - 20:27, 8 March 2025
  • 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...
    12 KB (1,884 words) - 05:42, 2 June 2024
  • describes how much two random variables change together (their covariance) with varying spatial or temporal separation. For a random field or stochastic process...
    4 KB (582 words) - 18:22, 13 June 2024
  • Thumbnail for Hardware random number generator
    hardware random number generator (HRNG), true random number generator (TRNG), non-deterministic random bit generator (NRBG), or physical random number generator...
    28 KB (3,296 words) - 06:33, 1 June 2025
  • Thumbnail for A Million Random Digits with 100,000 Normal Deviates
    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...
    6 KB (520 words) - 06:03, 27 May 2025
  • Thumbnail for Loop-erased random walk
    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...
    16 KB (2,458 words) - 02:41, 5 May 2025
  • Thumbnail for Quantum fluctuation
    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