Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012922042> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2012922042 abstract "Abstract Consider a nonlinear transform Φ(x) of x in R p to Hilbert space H and assume that the dot product betweenΦ(x) and Φ(x ′ ) in H is given by = K (x;x ′ ). The aim of this paper is to propose a mathematicaltechnique to take screen shots of the multivariate dataset mapped to Hilbert space H , particularly suited to Gaus-sian kernel K (·;·), which is defined by K (x;x ′ ) = exp(−˙∥x − x ′ ∥ 2 ); ˙ > 0. Several numerical examples aregiven.Keywords: Data visualization, Hilbert space, Gaussian kernel, principal component analysis. 1. Background and Aim Suppose that one has a dataset containing p -variate n observations x 1 ;:::;x n and that all variablesbeing considered are numerical. Data analysts have always wanted effective dimensional reductiontechniques for exploratory visualization.Gabriel’s (1971) biplot is certainly a handy tool for this purpose. The method produces a scatter-plot of observations overlaid with arrows for the directional flow of respective variables. However,the biplot is effective only for linearly structured datasets, because its mechanism consists of linearprojections in R" @default.
- W2012922042 created "2016-06-24" @default.
- W2012922042 creator A5073637543 @default.
- W2012922042 date "2014-07-31" @default.
- W2012922042 modified "2023-09-25" @default.
- W2012922042 title "Global and Local Views of the Hilbert Space Associated to Gaussian Kernel" @default.
- W2012922042 cites W1969455161 @default.
- W2012922042 cites W1992223338 @default.
- W2012922042 cites W2076632216 @default.
- W2012922042 cites W2104146802 @default.
- W2012922042 cites W2140095548 @default.
- W2012922042 doi "https://doi.org/10.5351/csam.2014.21.4.317" @default.
- W2012922042 hasPublicationYear "2014" @default.
- W2012922042 type Work @default.
- W2012922042 sameAs 2012922042 @default.
- W2012922042 citedByCount "0" @default.
- W2012922042 crossrefType "journal-article" @default.
- W2012922042 hasAuthorship W2012922042A5073637543 @default.
- W2012922042 hasBestOaLocation W20129220421 @default.
- W2012922042 hasConcept C104317684 @default.
- W2012922042 hasConcept C105795698 @default.
- W2012922042 hasConcept C111919701 @default.
- W2012922042 hasConcept C11413529 @default.
- W2012922042 hasConcept C114614502 @default.
- W2012922042 hasConcept C118483189 @default.
- W2012922042 hasConcept C121332964 @default.
- W2012922042 hasConcept C122280245 @default.
- W2012922042 hasConcept C12267149 @default.
- W2012922042 hasConcept C134306372 @default.
- W2012922042 hasConcept C135763542 @default.
- W2012922042 hasConcept C154945302 @default.
- W2012922042 hasConcept C163716315 @default.
- W2012922042 hasConcept C182335926 @default.
- W2012922042 hasConcept C185592680 @default.
- W2012922042 hasConcept C2524010 @default.
- W2012922042 hasConcept C27438332 @default.
- W2012922042 hasConcept C2778572836 @default.
- W2012922042 hasConcept C32900221 @default.
- W2012922042 hasConcept C33923547 @default.
- W2012922042 hasConcept C36464697 @default.
- W2012922042 hasConcept C41008148 @default.
- W2012922042 hasConcept C55493867 @default.
- W2012922042 hasConcept C62520636 @default.
- W2012922042 hasConcept C62799726 @default.
- W2012922042 hasConcept C74193536 @default.
- W2012922042 hasConcept C80884492 @default.
- W2012922042 hasConceptScore W2012922042C104317684 @default.
- W2012922042 hasConceptScore W2012922042C105795698 @default.
- W2012922042 hasConceptScore W2012922042C111919701 @default.
- W2012922042 hasConceptScore W2012922042C11413529 @default.
- W2012922042 hasConceptScore W2012922042C114614502 @default.
- W2012922042 hasConceptScore W2012922042C118483189 @default.
- W2012922042 hasConceptScore W2012922042C121332964 @default.
- W2012922042 hasConceptScore W2012922042C122280245 @default.
- W2012922042 hasConceptScore W2012922042C12267149 @default.
- W2012922042 hasConceptScore W2012922042C134306372 @default.
- W2012922042 hasConceptScore W2012922042C135763542 @default.
- W2012922042 hasConceptScore W2012922042C154945302 @default.
- W2012922042 hasConceptScore W2012922042C163716315 @default.
- W2012922042 hasConceptScore W2012922042C182335926 @default.
- W2012922042 hasConceptScore W2012922042C185592680 @default.
- W2012922042 hasConceptScore W2012922042C2524010 @default.
- W2012922042 hasConceptScore W2012922042C27438332 @default.
- W2012922042 hasConceptScore W2012922042C2778572836 @default.
- W2012922042 hasConceptScore W2012922042C32900221 @default.
- W2012922042 hasConceptScore W2012922042C33923547 @default.
- W2012922042 hasConceptScore W2012922042C36464697 @default.
- W2012922042 hasConceptScore W2012922042C41008148 @default.
- W2012922042 hasConceptScore W2012922042C55493867 @default.
- W2012922042 hasConceptScore W2012922042C62520636 @default.
- W2012922042 hasConceptScore W2012922042C62799726 @default.
- W2012922042 hasConceptScore W2012922042C74193536 @default.
- W2012922042 hasConceptScore W2012922042C80884492 @default.
- W2012922042 hasLocation W20129220421 @default.
- W2012922042 hasOpenAccess W2012922042 @default.
- W2012922042 hasPrimaryLocation W20129220421 @default.
- W2012922042 hasRelatedWork W103596390 @default.
- W2012922042 hasRelatedWork W1520086819 @default.
- W2012922042 hasRelatedWork W1568154024 @default.
- W2012922042 hasRelatedWork W1957189230 @default.
- W2012922042 hasRelatedWork W1966453426 @default.
- W2012922042 hasRelatedWork W1971794626 @default.
- W2012922042 hasRelatedWork W1979116456 @default.
- W2012922042 hasRelatedWork W1993048810 @default.
- W2012922042 hasRelatedWork W2035388107 @default.
- W2012922042 hasRelatedWork W2058286306 @default.
- W2012922042 hasRelatedWork W2066806869 @default.
- W2012922042 hasRelatedWork W2112262460 @default.
- W2012922042 hasRelatedWork W2148662273 @default.
- W2012922042 hasRelatedWork W2163085608 @default.
- W2012922042 hasRelatedWork W2262820264 @default.
- W2012922042 hasRelatedWork W2363001660 @default.
- W2012922042 hasRelatedWork W2634665070 @default.
- W2012922042 hasRelatedWork W2962850102 @default.
- W2012922042 hasRelatedWork W3011231621 @default.
- W2012922042 hasRelatedWork W3134442703 @default.
- W2012922042 isParatext "false" @default.
- W2012922042 isRetracted "false" @default.
- W2012922042 magId "2012922042" @default.
- W2012922042 workType "article" @default.