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- Markov_random_field abstract "In the domain of physics and probability, a Markov random field (often abbreviated as MRF), Markov network or undirected graphical model is a set of random variables having a Markov property described by an undirected graph. A Markov random field is similar to a Bayesian network in its representation of dependencies; the differences being that Bayesian networks are directed and acyclic, whereas Markov networks are undirected and may be cyclic. Thus, a Markov network can represent certain dependencies that a Bayesian network cannot (such as cyclic dependencies); on the other hand, it can't represent certain dependencies that a Bayesian network can (such as induced dependencies).When the probability distribution is strictly positive, it is also referred to as a Gibbs random field, because, according to the Hammersley–Clifford theorem, it can then be represented by a Gibbs measure. The prototypical Markov random field is the Ising model; indeed, the Markov random field was introduced as the general setting for the Ising model.In the domain of artificial intelligence, a Markov random field is used to model various low- to mid-level tasks in image processing and computer vision. For example, MRFs are used for image restoration, image completion, segmentation, image registration, texture synthesis, super-resolution, stereo matching and information retrieval.".
- Markov_random_field thumbnail Markov_random_field_example.png?width=300.
- Markov_random_field wikiPageExternalLink b.
- Markov_random_field wikiPageID "1323985".
- Markov_random_field wikiPageRevisionID "606672040".
- Markov_random_field hasPhotoCollection Markov_random_field.
- Markov_random_field subject Category:Graphical_models.
- Markov_random_field subject Category:Markov_networks.
- Markov_random_field subject Category:Probability_theory.
- Markov_random_field type Abstraction100002137.
- Markov_random_field type Group100031264.
- Markov_random_field type MarkovNetworks.
- Markov_random_field type Network108434259.
- Markov_random_field type Networks.
- Markov_random_field type System108435388.
- Markov_random_field comment "In the domain of physics and probability, a Markov random field (often abbreviated as MRF), Markov network or undirected graphical model is a set of random variables having a Markov property described by an undirected graph. A Markov random field is similar to a Bayesian network in its representation of dependencies; the differences being that Bayesian networks are directed and acyclic, whereas Markov networks are undirected and may be cyclic.".
- Markov_random_field label "Campo aleatório de Markov".
- Markov_random_field label "Champ aléatoire de Markov".
- Markov_random_field label "Markov Random Field".
- Markov_random_field label "Markov random field".
- Markov_random_field label "Марковская сеть".
- Markov_random_field label "حقل ماركوف العشوائي".
- Markov_random_field label "马尔可夫网络".
- Markov_random_field sameAs Markov_Random_Field.
- Markov_random_field sameAs Champ_aléatoire_de_Markov.
- Markov_random_field sameAs 마르코프_네트워크.
- Markov_random_field sameAs Campo_aleatório_de_Markov.
- Markov_random_field sameAs m.04st7j.
- Markov_random_field sameAs Q176827.
- Markov_random_field sameAs Q176827.
- Markov_random_field sameAs Markov_random_field.
- Markov_random_field wasDerivedFrom Markov_random_field?oldid=606672040.
- Markov_random_field depiction Markov_random_field_example.png.
- Markov_random_field isPrimaryTopicOf Markov_random_field.
