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
2020
Randomized near-neighbor graphs, giant components and applications in data science
Jaffe A, Kluger Y, Linderman G, Mishne G, Steinerberger S. Randomized near-neighbor graphs, giant components and applications in data science. Journal Of Applied Probability 2020, 57: 458-476. PMID: 32913373, PMCID: PMC7480951, DOI: 10.1017/jpr.2020.21.Peer-Reviewed Original Research