locally linear - translation to russian
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  3. locally linear

locally linear - translation to russian

SUMMARY OF ALGORITHMS FOR NONLINEAR DIMENSIONALITY REDUCTION
Locally Linear Embedding; Non-linear dimensionality reduction; Manifold learning; Locally linear embedding; Locally linear embeddings; Local linear embedding; Uniform manifold approximation and projection; Uniform Manifold Approximation and Projection; Probabilistic learning on manifolds
  • PCA (a linear dimensionality reduction algorithm) is used to reduce this same dataset into two dimensions, the resulting values are not so well organized.
  • Hessian LLE]] algorithms as implemented by the Modular Data Processing toolkit.
  • Plot of the two-dimensional points that results from using a NLDR algorithm. In this case, Manifold Sculpting is used to reduce the data into just two dimensions (rotation and scale).
  • principal component]] is presented by a blue straight line. Data points are the small grey circles. For PCA, the [[Fraction of variance unexplained]] in this example is 23.23%, for SOM it is 6.86%.<ref>The illustration is prepared using free software: E.M. Mirkes, [http://www.math.le.ac.uk/people/ag153/homepage/PCA_SOM/PCA_SOM.html Principal Component Analysis and Self-Organizing Maps: applet]. University of Leicester, 2011</ref>
  • Institut Curie]], Paris.</ref><ref>A. Zinovyev, [https://www.ihes.fr/~zinovyev/vida/ViDaExpert/ViDaOverView.pdf ViDaExpert overview], IHES ([[Institut des Hautes Études Scientifiques]]), Bures-Sur-Yvette, Île-de-France.</ref>

locally linear      

математика

локально линейный

locally convex topology         
TYPE OF TOPOLOGICAL VECTOR SPACE
Locally convex; Locally convex space; Locally convex spaces; Locally convex topology; Locally convex basis; Locally convex vector space; LCTVS; Finest locally convex topology
локально выпуклая топология
locally convex         
TYPE OF TOPOLOGICAL VECTOR SPACE
Locally convex; Locally convex space; Locally convex spaces; Locally convex topology; Locally convex basis; Locally convex vector space; LCTVS; Finest locally convex topology

общая лексика

локально-выпуклый

Definition

linear map
<mathematics> (Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v). (1996-09-30)
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Wikipedia

Nonlinear dimensionality reduction

Nonlinear dimensionality reduction, also known as manifold learning, refers to various related techniques that aim to project high-dimensional data onto lower-dimensional latent manifolds, with the goal of either visualizing the data in the low-dimensional space, or learning the mapping (either from the high-dimensional space to the low-dimensional embedding or vice versa) itself. The techniques described below can be understood as generalizations of linear decomposition methods used for dimensionality reduction, such as singular value decomposition and principal component analysis.

https://en.wikipedia.org/wiki/Nonlinear dimensionality reduction
What is the Russian for locally linear? Translation of &#39locally linear&#39 to Russian
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