2015
Information Integration, Organization, and Numerical Harmonic Analysis
Coifman R, Talmon R, Gavish M, Haddad A. Information Integration, Organization, and Numerical Harmonic Analysis. 2015, 254-271. DOI: 10.1002/9781118853887.ch10.Peer-Reviewed Original ResearchPartial differential equationsHarmonic analysisLocal linear modelsLocal similarity modelNumerical harmonic analysisDifferential equationsMathematical frameworkNewtonian calculusGlobal solutionClassical toolsFunctional regressionLinear modelData matrixUnrelated approachesMathematicsSignal processingNumericsEquationsMachine learningGraphGlobal configurationCalculusData analysisGeometryModel
2006
Data Fusion and Multicue Data Matching by Diffusion Maps
Lafon S, Keller Y, Coifman RR. Data Fusion and Multicue Data Matching by Diffusion Maps. IEEE Transactions On Pattern Analysis And Machine Intelligence 2006, 28: 1784-1797. PMID: 17063683, DOI: 10.1109/tpami.2006.223.Peer-Reviewed Original ResearchConceptsData fusionData matchingImage sequence alignmentHigh-dimensional data analysisGraph alignmentFundamental taskMatching schemeExtension algorithmGeometric harmonicsDiffusion mapsTaskMatchingDiffusion frameworkSequence alignmentInvariant embeddingData analysisSchemeDifferent sourcesAlgorithmEmbeddingFusionLipreadingData assimilationFrameworkAlignment
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