hyperplane


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hyperplane

[¦hī·pər‚plān]
(mathematics)
A hyperplane is an (n- 1)-dimensional subspace of an n-dimensional vector space.
References in periodicals archive ?
For the linearly separable case, the decision rules defined by an optimal hyperplane separating the binary decision classes are given in the following equation in terms of the support vectors.
The distance d(w, b; x) of a point x from the hyperplane (w, b) is
Let H by a hyperplane spanned by a sublist Y [subset or equal to] X.
8%) in classification error rate when up to 4 parameters are combined, with a hyperplane separating the 2 classes, it is reasonable to choose the simpler approach of using only the oblique-incidence [S.
The projection of this hypersurface at the hyperplane [x.
Slides the orthogonal hyperplane along that axis until it reaches a position that maximizes the inter-class inertia of the two parts of the cloud of context units that are separated by this hyperplane;
1] is an osculating curve of the first kind if and only if it lies fully in the timelike hyperplane of [E.
2002) is also to find a separating hyperplane, but with different primal problem.
The threshold is a moving hyperplane which is perpendicular bisector to feature components of consecutive training samples.
The next step is to obtain indifference curves by cutting the simplex with a hyperplane, H(p) (Conlon, 1995, 637).
Hence, there will be 100t[degrees]% of the observations that will fall above the [tau]-th quantile regression hyperplane and 100(1 - [tau])% below.
that is [alpha] (strictly) stays around a on the same side of the hyperplane tangent at a.