Equivariance as a Design Principle (principle)

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. 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. ...

September 21, 2026 · 2 min · yourname

The Bias-Variance Trade-Off (principle)

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 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. ...

September 21, 2026 · 2 min · yourname