2024
Geometric scattering on measure spaces
Chew J, Hirn M, Krishnaswamy S, Needell D, Perlmutter M, Steach H, Viswanath S, Wu H. Geometric scattering on measure spaces. Applied And Computational Harmonic Analysis 2024, 70: 101635. DOI: 10.1016/j.acha.2024.101635.Peer-Reviewed Original ResearchConvolutional neural networkGeometric deep learningDeep learningNeural networkSuccess of convolutional neural networksModel of convolutional neural networkMeasure spaceScattering transformData-driven graphsInvariance propertiesRiemannian manifoldsNon-Euclidean structureUndirected graphWavelet-based transformCompact Riemannian manifoldsData structuresRate of convergenceSpherical imagesNetwork stabilityHigh-dimensional single-cell dataData setsDirected graphDiffusion-mapsSigned graphGraph
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