Given that the time complexity to query the database for a column using a B-Tree index is typically O(log(N)), using a decision tree model as a column index could offer better query complexity. time for the same query operations?
can using a decision tree as an index for a column be more efficient than indexing B-Trees?
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No, using a decision tree model as a column index will not improve the complexity. B-Trees already offer the optimal time complexity.
Each decision will have two possible outcomes, so when evaluating conditions you can reach 2 distinct records at the most, not more. So if =2, you'll have to evaluate at least conditions, which is O(log).