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.

翻译：从Weyl可积几何的角度重新审视信息几何中关于势函数的梯度流方程。与梯度流方程相关联的预测地线方程被视为Weyl可积几何中的一般预测地线方程。