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Combining classifiers

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Sorry if this has been posed before.

Say that I've trained one classifier that has very high recall on the class I'm interested in, +1 (~90% recall), but low precision (~50%).

I have another classifier that has very high recall AND precision on the opposite class, -1 (~98%, 95%).

If I passed the data through the first classifier, it would identify said 90% of +1's. Then, pass them through the second classifier to determine which of those +1's are actually -1's.

It seems that the recall might only drop a little on +1, but the precision for would be significantly increased. The classes I'm talking about are generally imbalanced (10-15% +1, 85-90% -1) in the data I work with. Does that sound like a valid approach?

submitted by sorcut3141
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