Develops a bi-form framework unifying contrast and pre-contrast functions on torsion-full Lauritzen manifolds and constructs a canonical contrast bi-form on dually curvature-free cases.
Geometry of Minimum Contrast
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes geodesic connectedness from completeness for affine connections on statistical manifolds with divisible cubic forms, producing a Cartan-Hadamard theorem.
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Potential functions in information geometry via bi-forms
Develops a bi-form framework unifying contrast and pre-contrast functions on torsion-full Lauritzen manifolds and constructs a canonical contrast bi-form on dually curvature-free cases.
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Geodesic Connectedness on Statistical Manifolds with Divisible Cubic Forms
Establishes geodesic connectedness from completeness for affine connections on statistical manifolds with divisible cubic forms, producing a Cartan-Hadamard theorem.