Biwhitening Reveals the Rank of a Count Matrix.
Landa B, Zhang T, Kluger Y. Biwhitening Reveals the Rank of a Count Matrix. SIAM Journal On Mathematics Of Data Science 2022, 4: 1420-1446. PMID: 37576699, PMCID: PMC10417917, DOI: 10.1137/21m1456807.Peer-Reviewed Original ResearchRandom matrix theoryFamily of distributionsData matrixMatrix scaling problemMarchenko–Pastur lawSinkhorn-Knopp algorithmMatrix theoryRandom matricesRandom variablesGeneralized PoissonRank estimationIndependent entriesNumerical experimentsNoise matrixChallenging regimeQuadratic relationUnknown varianceRank selectionTheoretical findingsSignal matrixNegative binomialNumber of componentsPoissonCorresponding noiseCount matrix