About: http://www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl#LinearDiscriminantModel

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About: http://www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl#LinearDiscriminantModel Goto Sponge NotDistinct Permalink

An Entity of Type : http://www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl#IO-Class, within Data Space : covidontheweb.inria.fr associated with source document(s)

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type	Class NamedIndividual http://www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl#IO-Class
subClassOf	http://www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl#DiscriminantModel nodeID://b665259311 nodeID://b665259312 nodeID://b665259313 nodeID://b665259314 nodeID://b665259315 nodeID://b665259316 nodeID://b665260661 nodeID://b665260662 nodeID://b665260663 nodeID://b665260664 nodeID://b665260665 nodeID://b665260666 nodeID://b665764922 nodeID://b665764923 nodeID://b665764924 nodeID://b665764925 nodeID://b665764926 nodeID://b665764927 nodeID://b665766272 nodeID://b665766273 nodeID://b665766274 nodeID://b665766275 nodeID://b665766276 nodeID://b665766277
described by	proxy:entity/http/www.e-lico.eu/ontologies/dmo/DMOP/DMOP.owl
http://www.e-lico.....owl#latexFormula	LinearDiscriminantModel: the value of the NumberOfProbabilities complexity metric = $C\times D_{cont}+D(D_{cont}+1)/2$ if we take the joint probabilitydistribution. The class-conditional densities $P(\mathbf{x}_{i}\|y_{j};\Theta_{j})\sim N(\mathbf{\mu}_{j},\mathbf{\Sigma}), i.e., \Theta_{j}=(\mathbf{\mu}_{j},\mathbf{\Sigma})$ can be simplifed into a series of linear functions $f_{i}(\mathbf{x})=ln(P(\mathbf{x}_{i}\|y_{i})P(y_{i}))=\mathbf{w}_{i}^{T}\mathbf{x}+w_{i0}$, where $\mathbf{w}_{i}=\mathbf{\Sigma}^{-1}\mathbf{\mu}_{i}$ and $w_{i0}=-\frac{1}{2}\mathbf{\mu}_{i}^{T}\mathbf{\Sigma}^{-1}\mathbf{\mu}_{i}+ln\, P(y_{i})$
is topic of	e-lico Data Mining Ontology (DMO) for Data Mining Optimization (DMOP)

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