I have sentences as follow, I want to know what the "that", "while", and the second "that" subordinate clause modify?

The goal is to find short descriptions of the members of a collection that enable efficient processing of large collections while preserving the essential statistical relationships that are useful for basic tasks.


The most confusing is the first that, but I believe it refers to "short descriptions". Neither the members nor the collection itself would directly enable efficient processing of that collection, but a short, fitting description would.

While: "processing" (so the goal is that processing and preserving both happen at the same time).

That: "statistical relationships" (they are useful for basic tasks).

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