Attention

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. The statement that attention outputs are convex combinations follows from two facts about the softmax and one line of the triangle inequality, and the proof shows exactly where each is used. ...

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. The variants of attention that appear in long-context work are easier to keep apart by what they replace than by their names: each one gives up the full score matrix and puts something else in its place, and the something else is what the family is called. ...

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. Definitions in this subject fix notation rather than prove anything, and attention is the clearest case: three projections, one score matrix, one weighted average. Every implementation, diagram and proof in the rest of the literature is written against this one paragraph of notation. ...

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. Long-context attention is usually chosen on cost rather than on quality. What decides whether a variant is usable at a given sequence length is how the score cost and the per-token cache grow with \(T\), and both are easiest to compare side by side in one table rather than across several paragraphs. ...

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. Multi-head attention reads better as shape bookkeeping than as prose: every symbol below is a tensor, and the shapes alone decide which products are legal, which is why papers about attention variants usually open with a notation table before showing a single result. ...