Rule

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. Bayes’ rule is the rule for turning a model’s likelihood into a statement about hypotheses, and it is used twice in a language-model workflow: once to reason about uncertainty in evaluation, and once whenever a prior over prompts or parameters is combined with observed data. ...

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. A rule is a procedure applied so often that it stops looking like a theorem, and the chain rule is the extreme case: every backward pass through a stacked model is one long application of it. ...