Quote:
Originally Posted by yaser
Let me quickly answer the first question. The target, whether function or distribution, is the dependency of  on  . That is what we are trying to learn. If that dependency is deterministic, i.e.,  uniquely determines  , we have a target function. If that dependency is not deterministic and we have different  's that may occur when  occurs, we have a target distribution  . The fact that it depends on  is inherent, as a different  would result in a different distribution of  's.
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Thank you for your intelligible answer. And what about the second and the third one?