Hi,

if you have documents that might exist in multiple collections, then you can
use techniques from meta search. That is combining multiple search results
from different collections. In this case, you can retrieve the top 100 or
1000 documents from each collection and merge them. You then rank documents
by using some aggregation methods. It is known that using the sum of
relevance scores produces good results. 

If there are no shared documents between collections, you still can use the
same approach but using different aggregation methods. One method is round
robin. You start by selecting the first ranked document from each
collection. Then, taking the second ranked document and so on. 

If that does not fit your needs, probably you should search for "federated
or aggregated search techniques". These techniques are used by giant search
engines to combine results from their search engine parts (images,video and
web). You can find a lot of academic resources in these aspects.

Regards
Ameer 



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