Gibbs manifolds
نویسندگان
چکیده
Abstract Gibbs manifolds are images of affine spaces symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum physics, where they extend ubiquitous role toric geometry. The variety is zero locus all polynomials that vanish on manifold. We compute these show low-dimensional. Our theory applied to a wide range scenarios, including matrix pencils optimal transport.
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ژورنال
عنوان ژورنال: Information geometry
سال: 2023
ISSN: ['2511-2481', '2511-249X']
DOI: https://doi.org/10.1007/s41884-023-00111-2