Axiom

Demo note. This note demonstrates what the SciDraft Hugo theme can do for academic and scientific publishing — for research institutions, researchers and students. Its content is demonstration material only: readers should ignore whether the demo content is correct. Attention is built on a quantity that looks like a similarity but is defined by three axioms: an inner product is symmetric, linear in each argument, and positive definite. Those three properties are what allow a score to be read as “how much one vector points along another”. ...

Demo note. This note demonstrates what the SciDraft Hugo theme can do for academic and scientific publishing — for research institutions, researchers and students. Its content is demonstration material only: readers should ignore whether the demo content is correct. An axiom is an assumption taken as given, and the ones that hold up a language model are Kolmogorov’s three: probabilities are non-negative, the whole space has probability one, and disjoint events add. Everything else about token distributions is derived from them rather than assumed. ...