2019
Two-sample statistics based on anisotropic kernels
Cheng X, Cloninger A, Coifman RR. Two-sample statistics based on anisotropic kernels. Information And Inference A Journal Of The IMA 2019, 9: 677-719. PMID: 32929389, PMCID: PMC7478116, DOI: 10.1093/imaiai/iaz018.Peer-Reviewed Original Research
2013
Multiscale data sampling and function extension
Bermanis A, Averbuch A, Coifman R. Multiscale data sampling and function extension. Applied And Computational Harmonic Analysis 2013, 34: 15-29. DOI: 10.1016/j.acha.2012.03.002.Peer-Reviewed Original ResearchSequence of approximationsGaussian kernel matrixData pointsAdaptive gridSpecial decompositionMultiscale schemeKernel matrixMultiscale decompositionGaussian kernelInterpolation methodMutual distanceData samplingFine hierarchyExtension methodEmpirical functionHierarchical procedureFunction extensionApproximationExtensionDecompositionPointKernelSchemeSubsamplingGrid