2014
Diffusion methods for aligning medical datasets: Location prediction in CT scan images
Fernández Á, Rabin N, Coifman RR, Eckstein J. Diffusion methods for aligning medical datasets: Location prediction in CT scan images. Medical Image Analysis 2014, 18: 425-432. PMID: 24444669, DOI: 10.1016/j.media.2013.12.009.Peer-Reviewed Original ResearchMeSH KeywordsAlgorithmsAnisotropyDiffusionHumansPatient PositioningPrincipal Component AnalysisRadiographic Image Interpretation, Computer-AssistedReproducibility of ResultsTomography, X-Ray Computed
2009
Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps
Singer A, Erban R, Kevrekidis IG, Coifman RR. Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps. Proceedings Of The National Academy Of Sciences Of The United States Of America 2009, 106: 16090-16095. PMID: 19706457, PMCID: PMC2752552, DOI: 10.1073/pnas.0905547106.Peer-Reviewed Original ResearchMeSH KeywordsAlgorithmsAnisotropyComputer SimulationMarkov ChainsModels, ChemicalNonlinear DynamicsPrincipal Component AnalysisStochastic ProcessesTime FactorsConceptsStochastic dynamical systemsModel reduction approachHigh dimensional dynamic dataDynamical systemsNonlinear independent component analysisLocal principal component analysisSlow variablesMarkov matrixGood observablesDiffusion mapsNetwork simulationAnisotropic diffusionReduction approachData analysis techniqueAnalysis techniquesEigenvectorsDynamic dataObservablesIndependent component analysisComponent analysisSimulationsMatrix