133 citations · 322 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
An automatic dynamic balancer in a rotating mechanism with time-varying angular velocity
James A Wright, Linyu Peng
We consider the system of a two ball automatic dynamic balancer attached to a rotating disc with nonconstant angular velocity. We directly compare the scenario of constant angular…
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…
Statistical Einstein manifolds of exponential families with group-invariant potential functions
Linyu Peng, Zhenning Zhang
This paper mainly contributes to a classification of statistical Einstein manifolds, namely statistical manifolds at the same time are Einstein manifolds. A statistical manifold is…
Symmetries and reductions of integrable nonlocal partial differential equations
Linyu Peng
In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schrödinger equation…