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
2018
A Forward and Backward Stagewise algorithm for nonconvex loss functions with adaptive Lasso
Shi X, Huang Y, Huang J, Ma S. A Forward and Backward Stagewise algorithm for nonconvex loss functions with adaptive Lasso. Computational Statistics & Data Analysis 2018, 124: 235-251. PMID: 30319163, PMCID: PMC6181148, DOI: 10.1016/j.csda.2018.03.006.Peer-Reviewed Original ResearchNonconvex loss functionsHigh-dimensional settingsLoss functionConvex loss functionsAdaptive LASSO penaltySecond-order derivativesStagewise algorithmHigh-dimensional dataExtensive numerical studyApproximate solutionAdaptive lassoRank estimationLasso penaltyComputational algorithmStationary pointsEffective algorithmImportant applicationsNumerical studyAlgorithmPopular toolRobust resultsEstimationPenalizationProblemLASSO
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