searchivarius commented on issue #12342: URL: https://github.com/apache/lucene/issues/12342#issuecomment-1668964374
Seems to be correct (after checking what's exactly a parallelogram law is). However, as I mentioned above a simpler expansion of the dot product gives us that L2 is a monotonic transformation of the cosine similarity (and dot product as well, b/c norms are constant). In that the monotonicity preserves the order. I just wanted so make sue my simple derivation of: ``` L2=(a-b)^2 = |a|^2 - ab + |b|^2 = const1 - cosine_similarity(a,b) * const2 ``` looked plausible. -- This is an automated message from the Apache Git Service. To respond to the message, please log on to GitHub and use the URL above to go to the specific comment. To unsubscribe, e-mail: issues-unsubscr...@lucene.apache.org For queries about this service, please contact Infrastructure at: us...@infra.apache.org --------------------------------------------------------------------- To unsubscribe, e-mail: issues-unsubscr...@lucene.apache.org For additional commands, e-mail: issues-h...@lucene.apache.org
