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Diffusion map

Diffusion maps is a dimensionality reduction or feature extraction algorithm introduced by Coifman and Lafon which computes a family of embeddings of a data set into Euclidean space (often low-dimensional) whose coordinates can be computed from the eigenvectors and eigenvalues of a diffusion operator on the data. The Euclidean distance between points in…

Applications, Application & Definition of diffusion maps

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Overview

Definition of diffusion maps

Application

Vector and Tensor Diffusion Maps

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Map overview Semantic statistics

Diffusion map

Nodes35
Edges34
Triples33
Avg. degree1.94
Density0.057143
Components1

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Diffusion map

Top relations

related to Application · 11
Diffusion map → Applications, Beltrami, Fokker, Furthermore, In, Laplace, Nadler, Planck, Since, They, This
related to Connectivity · 8
Diffusion map → Based, Diffusion, For, Gaussian, Let, Markov, The, Usually
related to Vector and Tensor Diffusion Maps · 5
Diffusion map → In, Laplacian, The, Then, This
related to Algorithm · 3
Diffusion map → Given, Step, The
related to Diffusion process and low-dimensional embedding · 2
Diffusion map → So, The
related to Definition of diffusion maps · 1
Diffusion map → Following

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Important terminology

diffusion displaystyle data maps points matrix kernel manifold distance graph laplacian alpha set one step connection eigenvectors map space also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
principal component analysisinstance ofDifferent from linear dimensionality reduction methods0.80text
principal component analysisinstance ofThis is a major difference with methods0.80text
where correlations between all data points are taken into account at once.Giveninstance ofThis is a major difference with methods0.80text
Diffusion maprelated to AlgorithmThe0.60section
Diffusion maprelated to AlgorithmStep0.60section
Diffusion maprelated to AlgorithmGiven0.60section
Diffusion maprelated to ApplicationIn0.60section
Diffusion maprelated to ApplicationNadler0.60section
Diffusion maprelated to ApplicationFokker0.60section
Diffusion maprelated to ApplicationPlanck0.60section
Diffusion maprelated to ApplicationThey0.60section
Diffusion maprelated to ApplicationLaplace0.60section

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    Min side: 3
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