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third_person [2024/12/25 12:39] – [Why does this happen?] pedroortega | third_person [2024/12/25 12:40] (current) – [Why does this happen?] pedroortega | ||
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This implies that $P(Y|X)$ will predict well what will happen when the demonstrator chooses $X$, but it won't predict what will happen when the learner chooses $X$. This last prediction differs because the learner' | This implies that $P(Y|X)$ will predict well what will happen when the demonstrator chooses $X$, but it won't predict what will happen when the learner chooses $X$. This last prediction differs because the learner' | ||
- | ==== Why does this happen? ==== | + | ==== The math: why does this happen? ==== |
To understand what will happen when we substitute the demonstrator by the learner, we need $P(Y|\text{do}(X))$, | To understand what will happen when we substitute the demonstrator by the learner, we need $P(Y|\text{do}(X))$, | ||
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that is, without coupling terms (or, $R(x, | that is, without coupling terms (or, $R(x, | ||
- | Simply stated, replacing the demonstrator by the learner changes the statistical relation between the random variables. | ||
==== Core mechanism of imitation ==== | ==== Core mechanism of imitation ==== | ||