About: Generative topographic map

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Generative topographic map (GTM) is a machine learning method that is a probabilistic counterpart of the self-organizing map (SOM), is probably convergent and does not require a shrinking neighborhood or a decreasing step size. It is a generative model: the data is assumed to arise by first probabilistically picking a point in a low-dimensional space, mapping the point to the observed high-dimensional input space (via a smooth function), then adding noise in that space. The parameters of the low-dimensional probability distribution, the smooth map and the noise are all learned from the training data using the expectation-maximization (EM) algorithm. GTM was introduced in 1996 in a paper by Christopher Bishop, Markus Svensen, and Christopher K. I. Williams.

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rdf:type	software yago:WikicatArtificialNeuralNetworks yago:Abstraction100002137 yago:Communication100033020 yago:ComputerArchitecture106725249 yago:Description106724763 yago:Message106598915 yago:NeuralNetwork106725467 yago:Specification106725067 yago:Statement106722453
rdfs:label	Generative topographic map (en)
rdfs:comment	Generative topographic map (GTM) is a machine learning method that is a probabilistic counterpart of the self-organizing map (SOM), is probably convergent and does not require a shrinking neighborhood or a decreasing step size. It is a generative model: the data is assumed to arise by first probabilistically picking a point in a low-dimensional space, mapping the point to the observed high-dimensional input space (via a smooth function), then adding noise in that space. The parameters of the low-dimensional probability distribution, the smooth map and the noise are all learned from the training data using the expectation-maximization (EM) algorithm. GTM was introduced in 1996 in a paper by Christopher Bishop, Markus Svensen, and Christopher K. I. Williams. (en)
dcterms:subject	Artificial neural networks
Wikipage page ID	1091054 (xsd:integer)
Wikipage revision ID	915248688 (xsd:integer)
Link from a Wikipage to another Wikipage	Gaussian noise Neighbourhood (mathematics) Radial basis function network Christopher Bishop Generative model Connectionism Machine learning Pattern recognition Data mining Feature space Artificial Neural Network Artificial neural networks Latent variable model PhD Self-organizing map Neural network software Importance sampling Nonlinear dimensionality reduction Principal components analysis Linear transform Gaussian mixture model Expectation-maximization Expectation maximization Multi-layer perceptron dbr:Deformational_modelling dbr:Density_networks
Link from a Wikipage to an external page	http://research.microsoft.com/~cmbishop/downloads/Bishop-GTM-Ncomp-98.pdf https://web.archive.org/web/20090204021348/http:/www.ncrg.aston.ac.uk/GTM/
sameAs	Generative topographic map Generative topographic map Generative topographic map Generative topographic map
dbp:wikiPageUsesTemplate	dbt:Empty_section
has abstract	Generative topographic map (GTM) is a machine learning method that is a probabilistic counterpart of the self-organizing map (SOM), is probably convergent and does not require a shrinking neighborhood or a decreasing step size. It is a generative model: the data is assumed to arise by first probabilistically picking a point in a low-dimensional space, mapping the point to the observed high-dimensional input space (via a smooth function), then adding noise in that space. The parameters of the low-dimensional probability distribution, the smooth map and the noise are all learned from the training data using the expectation-maximization (EM) algorithm. GTM was introduced in 1996 in a paper by Christopher Bishop, Markus Svensen, and Christopher K. I. Williams. (en)
gold:hypernym	Machine
prov:wasDerivedFrom	wikipedia-en:Generative_topographic_map?oldid=915248688&ns=0
page length (characters) of wiki page	5291 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Generative_topographic_map
is Link from a Wikipage to another Wikipage of	GTM Posterior cingulate cortex Generative Topographic Map Self-organizing map Unsupervised learning Outline of machine learning Generative Topographic Mapping Generative topographic mapping
is Wikipage redirect of	Generative Topographic Map Generative Topographic Mapping Generative topographic mapping
is Wikipage disambiguates of	GTM
is foaf:primaryTopic of	wikipedia-en:Generative_topographic_map

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