https://www.zhumengyao.com/scidraft/tags/principle/Recent content in Principle on SciDraft | A Hugo ThemeHugoenMon, 21 Sep 2026 11:52:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-principle-equivariance/Mon, 21 Sep 2026 11:52:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-principle-equivariance/<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>Architectures are usually chosen for what they can compute, but the sharper criterion is what they cannot distinguish: matching the symmetries of the problem removes the need to learn them from data. This principle is why convolution appears in vision and why attention appears in sequences.</p>https://www.zhumengyao.com/scidraft/notes/demo-note-principle-bias-variance/Mon, 21 Sep 2026 11:22:00 +0900https://www.zhumengyao.com/scidraft/notes/demo-note-principle-bias-variance/<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 principle is a guide to design rather than a result about a particular model, and this one is the oldest in statistics: expected error splits into a term from the model being too simple, a term from it being too sensitive to the sample, and a term that no model can remove.</p>