Lemma

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 log-partition function appears wherever a normalising constant is needed, and it is trapped between two elementary bounds that are enough for most arguments: the largest term below, the largest term plus the log of the number of terms above. ...

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. ...