Statistical mirror symmetry
DOI10.1016/j.difgeo.2020.101678zbMath1478.53022OpenAlexW3082028296WikidataQ115354719 ScholiaQ115354719MaRDI QIDQ1995637
Publication date: 24 February 2021
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101678
almost complex structureinformation geometrydual connectionsquantum information geometrystatistical manifolds admitting torsionstatistical mirror symmetry
Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Differential geometric aspects of statistical manifolds and information geometry (53B12)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transformations and coupling relations for affine connections
- Curvature of Hessian manifolds
- Non-Kähler SYZ mirror symmetry
- Interaction of Codazzi couplings with (para-)Kähler geometry
- Complex analytic coordinates in almost complex manifolds
- On the existence of special metrics in complex geometry
- Mirror symmetry without corrections
- Dual connections and affine geometry
- Geometric construction of the \(r\)-map: From affine special real to special Kähler manifolds
- Second order efficiency of minimum contrast estimators in a curved exponential family
- La 1-forme de torsion d'une variété hermitienne compacte
- Geometry of minimum contrast
- On Hessian structures on the Euclidean space and the hyperbolic space
- Special Kähler manifolds
- Rho-tau embedding and gauge freedom in information geometry
- Dual scaling of comparison and reference stimuli in multi-dimensional psychological space
- Remarques sur les variétés localement hessiennes. (Remarks on locally Hessian manifolds)
- Affine spheres and Kähler-Einstein metrics.
- Mirror symmetry is \(T\)-duality
- Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
- The Kähler geometry of certain optimal transport problems
- Differential-geometrical methods in statistics
- (Para-)holomorphic and conjugate connections on (para-)Hermitian and (para-)Kähler manifolds
- New geometry of parametric statistical models
- From Hessian to Weitzenböck: manifolds with torsion-carrying connections
- Poisson metrics on flat vector bundles over non-compact curves
- Information geometry and sufficient statistics
- Statistical manifolds are statistical models
- The existence of supersymmetric string theory with torsion
- On the almost-complex structure of tangent bundles of Riemannian spaces
- On compact astheno-Kähler manifolds
- Gaussian distributions, Jacobi group, and Siegel-Jacobi space
- On SYZ mirror transformations
- Geometry of Pre-contrast Functions and Non-conservative Estimating Functions
- On the Geometry of the Tangent Bundle.
- The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
- Automorphism of Tube Domains
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Dually Flat Manifolds and Global Information Geometry
- Divergence Function, Duality, and Convex Analysis
- Statistical Manifolds Admitting Torsion and Partially Flat Spaces
- Geometry and Arithmetic on the Siegel–Jacobi Space
- Lectures on the Strominger system
- KV Cohomology in Information Geometry
- Almost Hermitian structures on tangent bundles
- An invariant form for the prior probability in estimation problems
This page was built for publication: Statistical mirror symmetry
