Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds
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Publication:280743
DOI10.3390/e15125384zbMath1338.53062OpenAlexW2081728937MaRDI QIDQ280743
Publication date: 10 May 2016
Published in: Entropy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/e15125384
Global Riemannian geometry, including pinching (53C20) Statistical aspects of information-theoretic topics (62B10)
Related Items (12)
Conformal vector fields on statistical manifolds ⋮ Duality of maximum entropy and minimum divergence ⋮ When optimal transport meets information geometry ⋮ Musical isomorphisms and statistical manifolds ⋮ Geometry of EM and related iterative algorithms ⋮ Legendre duality: from thermodynamics to information geometry ⋮ Quasi-arithmetic centers, quasi-arithmetic mixtures, and the Jensen-Shannon \(\nabla \)-divergences ⋮ Rho-tau embedding and gauge freedom in information geometry ⋮ Interaction of Codazzi couplings with (para-)Kähler geometry ⋮ Rho-Tau Embedding of Statistical Models ⋮ Generalized twin Gaussian processes using Sharma-Mittal divergence ⋮ Information geometry of modal linear regression
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