2021
Doubly Stochastic Normalization of the Gaussian Kernel Is Robust to Heteroskedastic Noise.
Landa B, Coifman RR, Kluger Y. Doubly Stochastic Normalization of the Gaussian Kernel Is Robust to Heteroskedastic Noise. SIAM Journal On Mathematics Of Data Science 2021, 3: 388-413. PMID: 34124607, PMCID: PMC8194191, DOI: 10.1137/20m1342124.Peer-Reviewed Original ResearchStochastic normalizationHeteroskedastic noiseGaussian kernelHigh-dimensional settingsMatrix convergesAmbient dimensionDifferent noise variancesEuclidean spaceData pointsNoise varianceSymmetric normalizationCertain normalizationAffinity matrixClean counterpartsPairwise distancesKernelNoiseData analysis techniqueSingle-cell RNA-sequencing dataParticular directionSpaceWidespread approachConvergesMatrixHeteroskedasticity
2013
Nonlinear intrinsic variables and state reconstruction in multiscale simulations
Dsilva CJ, Talmon R, Rabin N, Coifman RR, Kevrekidis IG. Nonlinear intrinsic variables and state reconstruction in multiscale simulations. The Journal Of Chemical Physics 2013, 139: 184109. PMID: 24320256, DOI: 10.1063/1.4828457.Peer-Reviewed Original ResearchHigh-dimensional simulation dataLow-dimensional descriptionSimulation dataEnzyme reaction networksSlow time scaleStochastic simulationMeasurement noisePartial observationsPhysical phenomenaMultiscale simulationsReaction networksIntrinsic variablesSimulation ensemblesAlanine dipeptideSimulationsState reconstructionEnsembleProcess variabilityTime scalesAtomistic simulationsVariablesNoiseApproachSimple features