The \(\alpha\)-geometric structures on manifold of positive definite Hermite matrices
From MaRDI portal
Publication:477925
DOI10.1007/s10114-014-1285-xzbMath1315.53013OpenAlexW2029800196MaRDI QIDQ477925
Xiao Min Duan, Lin Yu Peng, Hua Fei Sun
Publication date: 10 December 2014
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-014-1285-x
Statistical aspects of information-theoretic topics (62B10) Local Riemannian geometry (53B20) Linear and affine connections (53B05) Affine differential geometry (53A15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometric structures and instability of entropic dynamical models
- Finiteness of mapping degree sets for 3-manifolds
- Hamilton-type gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- On self-mapping degrees of \(S^{3}\)-geometry manifolds
- Riemannian gradient algorithm for the numerical solution of linear matrix equations
- Iterative approximation of statistical distributions and relation to information geometry
- A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance
- Differential-geometrical methods in statistics
- Dualistic differential geometry of positive definite matrices and its applications to related problems
- A Natural Gradient Descent Algorithm for the Solution of Lyapunov Equations Based on the Geodesic Distance
- INFORMATION GEOMETRY AND PHASE TRANSITIONS
- ON THE CURVATURE OF A CERTAIN RIEMANNIAN SPACE OF MATRICES
- Information geometry on hierarchy of probability distributions
