separating hyperplane

См. также в других словарях:

• Separating axis theorem — For objects lying in a plane (2 dimensional space), the separating axis theorem states that the projection of two convex shapes onto some line will be separate if and only if they are not intersecting. The line for which the objects have disjoint …   Wikipedia

• Supporting hyperplane — is a concept in geometry. A hyperplane divides a space into two half spaces. A hyperplane is said to support a set S in Euclidean space mathbb R^n if it meets both of the following: * S is entirely contained in one of the two closed half spaces… …   Wikipedia

• Support vector machine — Support vector machines (SVMs) are a set of related supervised learning methods used for classification and regression. Viewing input data as two sets of vectors in an n dimensional space, an SVM will construct a separating hyperplane in that… …   Wikipedia

• Margin classifier — In machine learning, a margin classifer is a classifier which is able to give an associated distance from the decision boundary for each example. For instance, if a linear classifier (e.g. perceptron or linear discriminant analysis) is used, the… …   Wikipedia

• Supervised learning — is a machine learning technique for learning a function from training data. The training data consist of pairs of input objects (typically vectors), and desired outputs. The output of the functioncan be a continuous value (called regression), or… …   Wikipedia

• Fundamental theorems of welfare economics — There are two fundamental theorems of welfare economics. The first states that any competitive equilibrium or Walrasian equilibrium leads to an efficient allocation of resources. The second states the converse, that any efficient allocation can… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

• Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find …   Wikipedia

• OCSH — Office of Child Support Hearings (Community » Law) ** Optimal Canonical Separating Hyperplane (Academic & Science » Mathematics) * Office Central de Statistique de Hongrie (International » French) * Ohio Coalition for Safe Highways (Community »… …   Abbreviations dictionary

• разделяющая гиперплоскость — Гиперплоскость, разделяющая два выпуклых множества, каждое из которых лежит в одном из двух полупространств, образуемых этой гиперплоскостью в многомерном пространстве. Два замкнутых ограниченных выпуклых множества, не имеющих общих точек, всегда …   Справочник технического переводчика

• Farkas' lemma — is a result in mathematics stating that a vector is either in a given cone or that there exists a (hyper)plane separating the vector from the cone, but not both. It was originally proved by harvtxt|Farkas|1902. It is used amongst other things in… …   Wikipedia