pkeenan11

Holy synchronicity Batman! I just implemented a minhash system that some may find interesting.

The problem is to find (pseudo) inverses of many different proper submatrices of a big square matrix.

Certain matrix identities (Woodbury, banachiewicz) allow you to update the inverse of a “close” submatrix to cheaply calculate a new one.

So you store the inverses you’ve calculated already, with their row/column indices as keys. Then for each new submatrix you want to find a close already-computed inverse to update from.

This is solved with minhashing. You minwise hash the indices so that close matrices are likely to have the same hash.

In my particular implementation I did a “multi-resolution” hash so that I can change the selectiveness of the search as the number of prior computed inverses grows

Could you say a bit more about the link between prototypal inheritance and LLMs? Not obvious to me what it is.

Alright if you think it’s pointless that’s fine, I would just say that anything necessary for basic communication is clearly useful.

“No, we really, genuinely, honestly, do not need any methods of dividing things into categories. We really don't.”

“Reality is complicated and it's hard to even speak English without relying on categories at all.”

So are you modifying your position or am I missing something?

Would you say that saying that Argument X belongs to category (True/False) is immediately fallacious? And that therefore your last sentence is self-contradictory?