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A Weyl geometric approach to the gradient-flow equations in information geometry

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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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2025 1

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representative citing papers

Revisiting Coincident GR in Internal STEGR Formulation

gr-qc · 2025-06-27 · conditional · novelty 5.0

The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.

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  • Revisiting Coincident GR in Internal STEGR Formulation gr-qc · 2025-06-27 · conditional · none · ref 56 · internal anchor

    The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.