2023
Geodesic Sinkhorn For Fast and Accurate Optimal Transport on Manifolds
Huguet G, Tong A, Zapatero M, Tape C, Wolf G, Krishnaswamy S. Geodesic Sinkhorn For Fast and Accurate Optimal Transport on Manifolds. 2023, 00: 1-6. DOI: 10.1109/mlsp55844.2023.10285995.Peer-Reviewed Original ResearchOptimal transport distanceHeat kernelHigh-dimensional single-cell dataGraph LaplacianOptimal transportSinkhornChebyshev polynomialsEfficient computationSuch computationsManifold graphComputationSingle-cell dataBarycenterGround distanceKernelData scienceManifoldPolynomialsLaplacianCell dataGraphDistributionDistanceDatapointsTransport distance
2022
Manifold Interpolating Optimal-Transport Flows for Trajectory Inference.
Huguet G, Magruder D, Tong A, Fasina O, Kuchroo M, Wolf G, Krishnaswamy S. Manifold Interpolating Optimal-Transport Flows for Trajectory Inference. Advances In Neural Information Processing Systems 2022, 35: 29705-29718. PMID: 37397786, PMCID: PMC10312391.Peer-Reviewed Original ResearchOptimal transportNeural ordinary differential equationsOrdinary differential equationsSchrödinger bridgesDifferential equationsData manifoldGeodesic distanceTrajectory inferenceDynamic modelManifold learningLatent spaceGenerative modelScRNA-seq dataPopulation snapshotsFlowEquationsManifoldSpace distanceBifurcationPopulation dynamicsGround distanceGeometryModelInferenceSpace