We derive a comparison principle for a degenerate elliptic partial differential equation without boundary conditions which arises naturally in optimal learning strategies. Our argument is direct and exploits the degeneracy of the differential operator to construct (logarithmically) diverging barriers.

中文翻译：

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最优学习策略中出现的退化椭圆偏微分方程的适定性

我们推导出了一个没有边界条件的退化椭圆偏微分方程的比较原理，该方程在最优学习策略中自然出现。我们的论点是直接的，并利用微分算子的简并性来构造（对数）发散障碍。