manifold learning
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algorithmtopologygeometrydimensionembeddingmanifoldclusteringeigenvalueeigenvectorprojectiondistancemetriccurvatureatlaschartneighborhoodgraphadjacencyweightoptimizationgradientcost functionlossconvergencelatent spacefeaturevectormatrixtensorlinear algebracalculusdifferential geometryisometryhomeomorphismdiffeomorphisminterpolationextrapolationoverfittingunderfittingregularizationsparsitydensitycentroidvariancecovariancecorrelationprincipal component analysisautoencoderneural networkmachine learningartificial intelligencedata miningpattern recognitionvisualizationcompressiongeodesic