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world:partition [2022/03/16 07:40] 127.0.0.1 external edit |
world:partition [2023/10/18 16:52] (current) rdouc [A useful result for the consistency of Decision Trees.] |
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| <WRAP center round box 80%> | <WRAP center round box 80%> | ||
| - | __**Theorem**__ | + | __**Stone's theorem**__ |
| Assume that | Assume that | ||
| * $\textrm{diam}(A_n(X,\Theta)) \to 0$ in probability, as $n \to \infty$. | * $\textrm{diam}(A_n(X,\Theta)) \to 0$ in probability, as $n \to \infty$. | ||