76 citations · 116 across the 13 of their papers we have counts for
13 papers
AWCD: An Efficient Point Cloud Processing Approach via Wasserstein Curvature
Yihao Luo, Ailing Yang, Fupeng Sun +1
In this paper, we introduce the adaptive Wasserstein curvature denoising (AWCD), an original processing approach for point cloud data. By collecting curvatures information from Was…
Geometric Characteristics of Wasserstein Metric on SPD(n)
Yihao Luo, Shiqiang Zhang, Yueqi Cao +1
Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on development of artificial intelligence (AI) and other branches of comp…
Torsion Discriminance for Stability of Linear Time-Invariant Systems
Yuxin Wang, Huafei Sun, Yueqi Cao +1
This paper proposes a new approach to describe the stability of linear time-invariant systems via the torsion of the state trajectory. For a system where…
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…
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…
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…
Description of Stability for Linear Time-Invariant Systems Based on the First Curvature
Yuxin Wang, Huafei Sun, Shoudong Huang +1
This paper focuses on using the first curvature of trajectory to describe the stability of linear time-invariant system. We extend the results for two and three-dimensional…
Description of Stability for Two and Three-Dimensional Linear Time-Invariant Systems Based on Curvature and Torsion
Yuxin Wang, Huafei Sun, Yang Song +2
This paper focuses on using curvature and torsion to describe the stability of linear time-invariant system. We prove that for a two-dimensional system , (i) if…
MU-MIMO Communications with MIMO Radar: From Co-existence to Joint Transmission
Fan Liu, Christos Masouros, Ang Li +2
Beamforming techniques are proposed for a joint multi-input-multi-output (MIMO) radar-communication (RadCom) system, where a single device acts both as a radar and a communication…
An Efficient Manifold Algorithm for Constructive Interference based Constant Envelope Precoding
Fan Liu, Christos Masouros, Pierluigi Vito Amadori +1
In this letter, we propose a novel manifold-based algorithm to solve the constant envelope (CE) precoding problem with interference exploitation. For a given power budget, we desig…
Para Blaschke isoparametric spacelike hypersurfaces in Lorentzian space forms
Xiu Ji, Tongzhu Li, Huafei Sun
Let be an -dimensional umbilic-free hypersurface in the -dimensional Lorentzian space form . Three basic invariants of under the conformal trans…
Principal bundles over statistical manifolds
Didong Li, Huafei Sun, Chen Tao +1
In this paper, we introduce the concept of principal bundles on statistical manifolds. After necessary preliminaries on information geometry and principal bundles on manifolds, we…
Riemannian Holonomy Groups of Statistical Manifolds
Didong Li, Huafei Sun, Chen Tao +1
Normal distribution manifolds play essential roles in the theory of information geometry, so do holonomy groups in classification of Riemannian manifolds. After some necessary prel…