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Isomap

Isomap is a nonlinear dimensionality reduction method. It is one of several widely used low-dimensional embedding methods. Isomap is used for computing a quasi-isometric, low-dimensional embedding of a set of high-dimensional data points. The algorithm provides a simple method for estimating the intrinsic geometry of a data manifold based on a rough…

Standards, Relationship with other methods & Algorithm

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Relationship with other methods

PCAKernel PCAKernelPositive semidefiniteMercer
5 related topics

Algorithm

Floyd–Warshall algorithm
1 related topics

Extensions of ISOMAP

Parallel transport
1 related topics

Introduction

Multidimensional scalingGeodesic distancesEuclidean distanceShortest pathDijkstra's algorithm
7 related topics

Topics to explore

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Overview

Introduction

Algorithm

Extensions of ISOMAP

Relationship with other methods

Advanced semantic analysis

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Map overview Semantic statistics

Isomap

Nodes22
Edges21
Triples41
Avg. degree1.91
Density0.090909
Components1

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Isomap

Top relations

related to Extensions of ISOMAP · 15
Isomap → C-Isomap, Dijkstra, Edge, Euclidean, However, In, L-ISOMAP, LandMark ISOMAP, Landmark-Isomap, Landmark-MDS, LMDS, MDS, Multi-Dimensional Scaling, Parallel Transport Unfolding, Replaces
related to Algorithm · 10
Isomap → All, Compute, Construct, Determine, Dijkstra's, Each, Edge, Euclidean, Multidimensional, Warshall
has method · 7
Isomap → Dij, Following, In, KPCA, MDS, PCA, The
related to Introduction · 6
Isomap → Dijkstra's, Euclidean, MDS, The, This, To
is a · 2
Isomap → nonlinear dimensionality reduction method, variant of Isomap which is faster than Isomap
related to External links · 1
Isomap → Stanford

Important terminology Word statistics

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Important terminology

data distance geodesic points embedding algorithm kernel manifold matrix scaling euclidean low-dimensional methods mds pca graph point nearest neighbors method

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Isomapis anonlinear dimensionality reduction method0.90text
Isomapis avariant of Isomap which is faster than Isomap0.90text
Isomaphas methodFollowing0.60section
Isomaphas methodPCA0.60section
Isomaphas methodMDS0.60section
Isomaphas methodKPCA0.60section
Isomaphas methodIn0.60section
Isomaphas methodThe0.60section
Isomaphas methodDij0.60section
Isomaprelated to AlgorithmDetermine0.60section
Isomaprelated to AlgorithmAll0.60section
Isomaprelated to AlgorithmConstruct0.60section

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