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A Weyl geometric approach to the gradient-flow equations in information geometry
Published 30 Dec 2022 in math-ph, cs.IT, math.IT, and math.MP | (2212.14706v4)
Abstract: The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic equations associated with the gradient-flow equations are regarded as the general pre-geodesic equations in the Weyl integrable geometry.
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