No importance ranking can be simultaneously faithful, stable, and complete under symmetry — at any level of a model, from input features to internal circuits — and we prove it in Lean 4. If you have ...

Guangdong Technology College, Zhaoqing, China. To the best of the author’s knowledge, several studies have addressed stochastic evolution equations driven by nonlinear noise, see e.g., [24]-[29]. In ...

People in measure theory find it best to work with, not arbitrary measurable spaces, but certain nice ones called standard Borel spaces. I’ve used them myself. a finite or countably infinite set with ...

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