2022
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
2021
Spectral neighbor joining for reconstruction of latent tree Models.
Jaffe A, Amsel N, Aizenbud Y, Nadler B, Chang JT, Kluger Y. Spectral neighbor joining for reconstruction of latent tree Models. SIAM Journal On Mathematics Of Data Science 2021, 3: 113-141. PMID: 34124606, PMCID: PMC8194222, DOI: 10.1137/20m1365715.Peer-Reviewed Original ResearchGraphical modelsObserved variablesEvolutionary lineagesRandom variablesNeighbor-JoiningLatent tree modelsSufficient conditionsMultiple scientific applicationsIndependent realizationsObserved organismsTree topologyTree recoverySpectral measureSimilarity matrixObserved dataNumber of samplesImportant exampleLeavesTreesExtensive simulationsMeasure of similarityScientific applicationsLong edgesReconstruction methodPhylogenetics