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how missing or additional features are handled, depends on the classification algorithm and its implementation in RapidMiner. In general, the behaviour is undefined, though in some cases you may get reasonable results.
I found out that in the second case the classificaton accuracy is much lower (it went to 20% from 70%). Is that something I should have expected, is my logic wrong here?
as even though I use training data information during test data feature extraction,
...you put information about the distributions of the test set into the training already.
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