Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise
Cheng X, Landa B. Bi-stochastically normalized graph Laplacian: convergence to manifold Laplacian and robustness to outlier noise. Information And Inference A Journal Of The IMA 2024, 13: iaae026. PMID: 39309272, PMCID: PMC11415053, DOI: 10.1093/imaiai/iaae026.Peer-Reviewed Original ResearchMatrix scaling problemSinkhorn-KnoppGraph Laplacian operatorGraph-based data analysisManifold dataText]-dimensionalLog factorLaplacian operatorInner productHigh-dimensional spaceConvergence rateGraph LaplacianNumerical experimentsAlternative normalizationNoise vectorGraphApproximate onesOutlier noiseTheoretical resultsConsistency rateData vectorsSK-iterationsKernel bandwidthConvergenceScale problemsGene trajectory inference for single-cell data by optimal transport metrics
Qu R, Cheng X, Sefik E, Stanley III J, Landa B, Strino F, Platt S, Garritano J, Odell I, Coifman R, Flavell R, Myung P, Kluger Y. Gene trajectory inference for single-cell data by optimal transport metrics. Nature Biotechnology 2024, 1-11. PMID: 38580861, DOI: 10.1038/s41587-024-02186-3.Peer-Reviewed Original ResearchGene dynamicsGene programTrajectory inferenceBiological processesCell-cell graphDynamics of genesCell trajectory inferenceSingle-cell RNA sequencingSingle-cell dataCell state transitionsMyeloid lineage maturationDynamics of biological processesGene distributionRNA sequencingPseudotemporal orderingGene processingTrajectories of cellsGenesActivity of biological processesTechnical noiseGroups of cellsLineage maturationCellsConstruct cellsSequence