2007
Validation of low-dimensional models using Diffusion maps and Harmonic Averaging
Hagen G, Smith T, Banasuk A, Coifman R, Mezić I. Validation of low-dimensional models using Diffusion maps and Harmonic Averaging. 2007, 5353-5357. DOI: 10.1109/cdc.2007.4434821.Peer-Reviewed Original Research
2005
Comparison of Systems using Diffusion Maps
Vaidya U, Hagen G, Lafon S, Banaszuk A, Mezic I, Coifman R. Comparison of Systems using Diffusion Maps. 2005, 7931-7936. DOI: 10.1109/cdc.2005.1583444.Peer-Reviewed Original ResearchDiffusion mapsDynamical system modelWork of CoifmanSingular value decompositionPhase spaceLow-dimensional embeddingAcoustic oscillationsIntrinsic geometryQualitative behaviorDimensional embeddingCandidate modelsValue decompositionAssociated dynamicsData setsSystem modelComparison of systemsModel validationSpectral propertiesEfficient methodEigenvectorsCoifmanEt alGraphSimple metricLafon