Curvature on the tangent bundle of statistical manifolds equipped with generalized Cheeger-Gromoll metrics is expressed via the base Riemannian curvature and skewness tensor, with conditions derived for constant sectional curvature and special geodesic properties.
Amari,Information geometry of the EM and em algorithms for neural networks, Neural Networks8(9) (1995), 1379–1408
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Geometry of tangent bundles of statistical manifolds equiped with Cheeger-Gromoll type metrics
Curvature on the tangent bundle of statistical manifolds equipped with generalized Cheeger-Gromoll metrics is expressed via the base Riemannian curvature and skewness tensor, with conditions derived for constant sectional curvature and special geodesic properties.