https://www.zhumengyao.com/scidraft/tags/rule/Recent content in Rule on SciDraft | A Hugo ThemeHugoenMon, 21 Sep 2026 16:12:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-rule-bayes/Mon, 21 Sep 2026 16:12:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-rule-bayes/<p><strong>Demo note.</strong> This note demonstrates what the <strong>SciDraft</strong> 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.</p> <p>Bayes&rsquo; rule is the rule for turning a model&rsquo;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.</p>https://www.zhumengyao.com/scidraft/notes/demo-note-rule-chain/Mon, 21 Sep 2026 16:02:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-rule-chain/<p><strong>Demo note.</strong> This note demonstrates what the <strong>SciDraft</strong> 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.</p> <p>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.</p>