hyperplane

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hyperplane

(ˈhaɪpəˌpleɪn)
n
(Mathematics) maths a higher dimensional analogue of a plane in three dimensions. It can be represented by one linear equation
Translations
nadrovina
References in periodicals archive ?
Their topics include the zeta-regularized stress-energy vacuum expectation value in terms of integral kernels, total energy and forces on the boundary, a massless field between parallel hyperplanes, a massive field constrained by perpendicular hyperplanes, and a scalar field with a harmonic background potential.
Support Vector Machine classifies and constructs a set of hyperplanes or a hyperplane, which uses Lagrangian methods to minimize a regularized function of the empirical classification error.
1992) presented away to produce non linear classifiers by using the kernel trickfor maximum-margin hyperplanes.
The proof involves lifting the set of lines to a set of points and hyperplanes in [[?
A machine learning method that calculates hyperplanes in multidimensional space, and that can accurately separate data.
Further let U be the set of all hyperplanes of (P, L) such that the corresponding hyperplane in V is the kernel of an element of <[B.
Regression clustering becomes very useful when one intends to recover or estimate the unobserved class-specific regression hyperplanes based on the sample data of dependent and explanatory variables.
Production technology in DEA is extrapolated with the observed inputs and outputs and the boundary points of this set construct the efficient frontier or supporting hyperplanes of the technology.
B] bounded by hyperplanes B, say P = [intersection] [H.
For a large N, we choose N uniformly random hyperplanes in Rn through the origin.
3, a support vector machine, constructs a hyperplane or set of hyperplanes in a high or infinite dimensional space, which can be used for classification, regression or other tasks.
The reason why SVM insists on finding the maximum margin hyperplanes is that it offers the best generalization ability.