godelski 2 hours ago

Please, tell me more. I was naively under the impression that normal addition had Abelian group properties[0]. Maybe you can inform me as what the inverse element is. That will get me to change my mind

[0] https://en.wikipedia.org/wiki/Abelian_group

Reply View 1 reply
  • danielmarkbruce an hour ago

    You’re lost in abstractions. ‘King’ and ‘queen’ and 'man' etc etc aren’t algebraic symbols, they’re mapped to vectors of real numbers. The model learns those mappings, then we just add and subtract numbers element wise. That’s it. You’re giving a group theory lecture about an operation that’s literally just a[i] + b[i]. The semantics come from training, not from some deep mathematical revelation you think everyone missed.

    Reply View 0 replies