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
2019
Compressed Diffusion
Gigante S, Stanley J, Vu N, van Dijk D, Moon K, Wolf G, Krishnaswamy S. Compressed Diffusion. 2019, 00: 1-4. DOI: 10.1109/sampta45681.2019.9030994.Peer-Reviewed Original ResearchData regionsModern data analysisDiffusion mapsMost kernel methodsDiffusion geometryHeavy computational loadData pointsRelated embeddingsKernel-based methodsCubic complexityDiffusion map embeddingBig datasetsCorrelation kernelLower dimensionSpectral embeddingComputational loadKernel methodDiffusion relationManifold learningLocal geometryDiffusion processEmbeddingTheoretical connectionsGeometryIntrinsic structure