dimensionality of vector-space

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• Vector space model — (or term vector model ) is an algebraic model for representing text documents (and any objects, in general) as vectors of identifiers, such as, for example, index terms. It is used in information filtering, information retrieval, indexing and… …   Wikipedia

• Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… …   Wikipedia

• vector analysis — the branch of calculus that deals with vectors and processes involving vectors. * * * ▪ mathematics Introduction       a branch of mathematics that deals with quantities that have both magnitude and direction. Some physical and geometric… …   Universalium

• Curse of dimensionality — The curse of dimensionality refers to various phenomena that arise when analyzing and organizing high dimensional spaces (often with hundreds or thousands of dimensions) that do not occur in low dimensional settings such as the physical space… …   Wikipedia

• Examples of vector spaces — This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis. Notation . We will let F denote an arbitrary field such as the real numbers R or the complex numbers C.… …   Wikipedia

• Feature vector — In pattern recognition and machine learning, a feature vector is an n dimensional vector of numerical features that represent some object. Many algorithms in machine learning require a numerical representation of objects, since such… …   Wikipedia

• Key selection vector — The Key Selection Vector means the numerical associated with a Device Key Set and distributed by Licensor or its designee to Adopters and used to support authentication of Licensed Products and Revocation. It is considered a confidential set of… …   Wikipedia

• Nonlinear dimensionality reduction — High dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lies on an embedded non linear manifold within… …   Wikipedia

• Attack Vector: Tactical — Cover Art Designer(s) Ken Burnside, Eric Finley, Tony Valle Publisher(s) Ad Astra Games Players …   Wikipedia

• State space (controls) — In control engineering, a state space representation is a mathematical model of a physical system as a set of input, output and state variables related by first order differential equations. To abstract from the number of inputs, outputs and… …   Wikipedia

• Р — Работа (или операция) [ope­ration] Рабочая валюта (working currency) Работающий капитал (working capital) Равновесие [equilibrium] …   Экономико-математический словарь