Matches in SemOpenAlex for { <https://semopenalex.org/work/W2885269448> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2885269448 abstract "Abstract In this paper, a new interpretation of parametric linear discriminants for binary classification problems is presented. Linear discriminants are described in terms of Disjoint Tangent Configurations (DTC) established between the ellipsoidal level surfaces resulting from the means and covariance matrices of the distributions. This is a new framework that allows, first, a new interpretation and analysis of several well-known linear discriminants and, second, the design of new discriminants with very interesting properties. In particular, it is shown that the analytical expression of the Bayes Linear Discriminant —whose explicit expression is still unknown— can be derived from a particular DTC. Besides the Bayes discriminant, other classical linear discriminants are also described according to the DTC analysis, in particular, the Fisher and the Scatter-based Linear Discriminants. On the other hand, two new linear discriminants for the minimax and the Bayesian solutions are obtained from the DTC analysis. Both have a direct analytical expression in contrast to the existing iterative solutions, with which they are compared. The first DTC discriminant, which is called MPDH-DTC, is the solution of the Minimax Probabilistic Decision Hyperplane (MPDH) problem, the same solution that the Minimax Probability Machine (MPM) method approximates by an iterative convex optimization. The second discriminant, called Quasi-Bayes-DTC Linear Discriminant, is designed to be an approximation to the Bayes Linear Discriminant, which requires a search procedure to find the solution. Considering both the accuracy over several synthetic and real problems and the computational cost, the Quasi-Bayes-DTC is the preferred discriminant due to its high performance and low computational cost, unless a minimax solution is required, in that case the MPDH-DTC is preferred." @default.
- W2885269448 created "2018-08-22" @default.
- W2885269448 creator A5017129707 @default.
- W2885269448 creator A5045956716 @default.
- W2885269448 creator A5046532092 @default.
- W2885269448 creator A5072157766 @default.
- W2885269448 date "2018-11-01" @default.
- W2885269448 modified "2023-10-03" @default.
- W2885269448 title "Linear discriminants described by disjoint tangent configurations" @default.
- W2885269448 cites W1201875361 @default.
- W2885269448 cites W1242508586 @default.
- W2885269448 cites W1522500670 @default.
- W2885269448 cites W1968130216 @default.
- W2885269448 cites W1971747485 @default.
- W2885269448 cites W1972284617 @default.
- W2885269448 cites W2026982506 @default.
- W2885269448 cites W2039536525 @default.
- W2885269448 cites W2072128103 @default.
- W2885269448 cites W2073127487 @default.
- W2885269448 cites W2087708264 @default.
- W2885269448 cites W2095559770 @default.
- W2885269448 cites W2107961375 @default.
- W2885269448 cites W2111072639 @default.
- W2885269448 cites W2118020653 @default.
- W2885269448 cites W2118209906 @default.
- W2885269448 cites W2130675919 @default.
- W2885269448 cites W2141595746 @default.
- W2885269448 cites W2153635508 @default.
- W2885269448 cites W2273827415 @default.
- W2885269448 cites W2742041995 @default.
- W2885269448 cites W2773071069 @default.
- W2885269448 doi "https://doi.org/10.1016/j.neucom.2018.08.010" @default.
- W2885269448 hasPublicationYear "2018" @default.
- W2885269448 type Work @default.
- W2885269448 sameAs 2885269448 @default.
- W2885269448 citedByCount "1" @default.
- W2885269448 countsByYear W28852694482020 @default.
- W2885269448 crossrefType "journal-article" @default.
- W2885269448 hasAuthorship W2885269448A5017129707 @default.
- W2885269448 hasAuthorship W2885269448A5045956716 @default.
- W2885269448 hasAuthorship W2885269448A5046532092 @default.
- W2885269448 hasAuthorship W2885269448A5072157766 @default.
- W2885269448 hasConcept C105795698 @default.
- W2885269448 hasConcept C107673813 @default.
- W2885269448 hasConcept C114614502 @default.
- W2885269448 hasConcept C122280245 @default.
- W2885269448 hasConcept C12267149 @default.
- W2885269448 hasConcept C126255220 @default.
- W2885269448 hasConcept C149728462 @default.
- W2885269448 hasConcept C153180895 @default.
- W2885269448 hasConcept C154945302 @default.
- W2885269448 hasConcept C181367576 @default.
- W2885269448 hasConcept C207201462 @default.
- W2885269448 hasConcept C28826006 @default.
- W2885269448 hasConcept C33923547 @default.
- W2885269448 hasConcept C41008148 @default.
- W2885269448 hasConcept C45340560 @default.
- W2885269448 hasConcept C68693459 @default.
- W2885269448 hasConcept C69738355 @default.
- W2885269448 hasConcept C78397625 @default.
- W2885269448 hasConceptScore W2885269448C105795698 @default.
- W2885269448 hasConceptScore W2885269448C107673813 @default.
- W2885269448 hasConceptScore W2885269448C114614502 @default.
- W2885269448 hasConceptScore W2885269448C122280245 @default.
- W2885269448 hasConceptScore W2885269448C12267149 @default.
- W2885269448 hasConceptScore W2885269448C126255220 @default.
- W2885269448 hasConceptScore W2885269448C149728462 @default.
- W2885269448 hasConceptScore W2885269448C153180895 @default.
- W2885269448 hasConceptScore W2885269448C154945302 @default.
- W2885269448 hasConceptScore W2885269448C181367576 @default.
- W2885269448 hasConceptScore W2885269448C207201462 @default.
- W2885269448 hasConceptScore W2885269448C28826006 @default.
- W2885269448 hasConceptScore W2885269448C33923547 @default.
- W2885269448 hasConceptScore W2885269448C41008148 @default.
- W2885269448 hasConceptScore W2885269448C45340560 @default.
- W2885269448 hasConceptScore W2885269448C68693459 @default.
- W2885269448 hasConceptScore W2885269448C69738355 @default.
- W2885269448 hasConceptScore W2885269448C78397625 @default.
- W2885269448 hasFunder F4320313180 @default.
- W2885269448 hasFunder F4320321595 @default.
- W2885269448 hasLocation W28852694481 @default.
- W2885269448 hasOpenAccess W2885269448 @default.
- W2885269448 hasPrimaryLocation W28852694481 @default.
- W2885269448 hasRelatedWork W1530636965 @default.
- W2885269448 hasRelatedWork W2015392120 @default.
- W2885269448 hasRelatedWork W2042147605 @default.
- W2885269448 hasRelatedWork W2104912729 @default.
- W2885269448 hasRelatedWork W2146076056 @default.
- W2885269448 hasRelatedWork W2147291813 @default.
- W2885269448 hasRelatedWork W2339674921 @default.
- W2885269448 hasRelatedWork W2353567328 @default.
- W2885269448 hasRelatedWork W2379288828 @default.
- W2885269448 hasRelatedWork W2885269448 @default.
- W2885269448 isParatext "false" @default.
- W2885269448 isRetracted "false" @default.
- W2885269448 magId "2885269448" @default.
- W2885269448 workType "article" @default.