76 citations · 116 across the 13 of their papers we have counts for
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math.ST2019★ 6 cited
Fisher-Rao Geometry and Jeffreys Prior for Pareto Distribution
Mingming Li, Huafei Sun, Linyu Peng
In this paper, we investigate the Fisher-Rao geometry of the two-parameter family of Pareto distribution. We prove that its geometrical structure is isometric to the Poincaré upper…
stat.ML2019★ 13 cited
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…
math.OC2019★ 3 cited
Application of gradient descent algorithms based on geodesic distances
Xiaomin Duan, Huafei Sun, Linyu Peng
In this paper, the Riemannian gradient algorithm and the natural gradient algorithm are applied to solve descent direction problems on the manifold of positive definite Hermitian m…