2013
Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging
Talmon R, Shkolnisky Y, Coifman R. Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging. Lecture Notes In Computer Science 2013, 8085: 441-448. DOI: 10.1007/978-3-642-40020-9_48.Peer-Reviewed Original ResearchNonlinear filtering problemInformation geometryFiltering problemDifferential geometryNonlinear filteringIntrinsic modelingIntrinsic geometryBayesian frameworkStatistical modelRandom observationsNonlinear modelingInstrumental modalitiesInferred modelGeometryNoise resilientReal signalsInvariantsModelingPhoton counterModelBiomedical imagingFilteringApplicationsProblem
2005
Geometric diffusions for the analysis of data from sensor networks
Coifman RR, Maggioni M, Zucker SW, Kevrekidis IG. Geometric diffusions for the analysis of data from sensor networks. Current Opinion In Neurobiology 2005, 15: 576-584. PMID: 16150587, DOI: 10.1016/j.conb.2005.08.012.Peer-Reviewed Original ResearchConceptsSensor networksGeometric diffusionMathematical developmentComplex data setsHarmonic analysisNeural information processingActivity datasetsCertain analogyComputer modelingData setsInformation processingManifoldNetworkModelingGraphData analysisAlgorithmNew toolDatasetAnalysis of dataAnalogyField
1993
The fast multipole method for electromagnetic scattering calculations
Coifman R, Rokhlin V, Wandzura S. The fast multipole method for electromagnetic scattering calculations. 1993, 48-51 vol.1. DOI: 10.1109/aps.1993.385405.Peer-Reviewed Original ResearchFast multipole methodMultipole methodDense impedance matrixThree-dimensional electromagnetic problemsBoundary integral equationsAccurate numerical modelingMethod of momentsIntegral equationsElectromagnetic problemsElectromagnetic scattering calculationsRadiation problemsElementary derivationPhysical interpretationImpedance matrixComputational complexityElectromagnetic scatteringScattering calculationsNumerical modelingSparse decompositionEquationsProblemDerivationMomentModelingCalculations