13 citations · 72 across the 18 of their papers we have counts for
4 papers · 1 filter
Estimating densities with nonlinear support using Fisher-Gaussian kernels
Minerva Mukhopadhyay, Didong Li, David B Dunson
Current tools for multivariate density estimation struggle when the density is concentrated near a nonlinear subspace or manifold. Most approaches require choice of a kernel, with…
Geodesic Distance Estimation with Spherelets
Didong Li, David B Dunson
Many statistical and machine learning approaches rely on pairwise distances between data points. The choice of distance metric has a fundamental impact on performance of these proc…
Efficient Weingarten Map and Curvature Estimation on Manifolds
Yueqi Cao, Didong Li, Huafei Sun +2
In this paper, we propose an efficient method to estimate the Weingarten map for point cloud data sampled from manifold embedded in Euclidean space. A statistical model is establis…
Classification via local manifold approximation
Didong Li, David B Dunson
Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distribution…