Fourth And Thirty First

You fuse a dense retriever and a BM25 retriever with reciprocal rank fusion, using the constant the original paper fixed at k=60k = 60:

RRF(d)=∑r∈R1k+r(d)\text{RRF}(d) = \sum_{r \in R} \frac{1}{k + r(d)}

Three documents come back:

doc dense rank BM25 rank
D 4 31
E 9 9
F 1 not in the BM25 list

What order does RRF put them in?

A

F, then E, then D

B

E, then D, then F

C

D, then E, then F

D

F, then D, then E