Demo

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 corollary is what falls out of a theorem with one substitution, and the useful one here is a floor on perplexity. Since cross-entropy cannot fall below the entropy of the data, and entropy is non-negative, perplexity cannot fall below one. ...

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. ...

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 formula is a rule written in symbols so that it can be evaluated, and the one nearly every model is trained with is Adam’s update: two running averages of the gradient, a correction for the fact that both start at zero, and a step whose size is set by their ratio. ...

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. Entropy is a convenient scalar summary of an attention row, and the observation reported here is that its average falls as one moves up the layers: early heads spread their weight widely, later heads concentrate it. ...

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 lemma is a small result proved on the way to something larger, and this one is proved in two lines yet carries most of the numerical stability of a softmax: adding the same constant to every score changes nothing. ...

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 simplest optimiser with a memory is gradient descent with momentum: keep a running velocity, add the gradient to it, and step in the direction of the velocity rather than the gradient. The algorithm is short, and the behaviour it introduces is worth the two extra lines. ...

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. Attention is often drawn as a lookup, and the proposition below says what kind of lookup it is: a convex combination of the value vectors, with weights that are non-negative and sum to one because they came out of a softmax. ...

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 same generation loop can be described without messages, as a machine with a small number of states. This view is useful when the interesting questions are about transitions — when decoding starts, what keeps it running, and which conditions end it. The state diagram below is the whole lifecycle of one completion. ...