2025
The Dyson equalizer: adaptive noise stabilization for low-rank signal detection and recovery
Landa B, Kluger Y. The Dyson equalizer: adaptive noise stabilization for low-rank signal detection and recovery. Information And Inference A Journal Of The IMA 2025, 14: iaae036. PMID: 39830802, PMCID: PMC11735832, DOI: 10.1093/imaiai/iaae036.Peer-Reviewed Original ResearchNoise varianceLow-rank signalData matrixNoisy data matrixSignal detectionImproved signal recoverySignal recoveryMP lawNoise distributionRandom matrix theory resultsSignal structureData-drivenSingular valuesNoiseDataTaskNoise characteristicsNoise levelNoise stabilitySingle-cell RNA sequencingDetectionSpatial transcriptomics dataTranscriptome dataNormalization procedureMatrix
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
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