Criterion

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 criterion is a condition that decides whether an argument or a method applies, and this one is the usual substitute for convexity in the analysis of gradient descent: it bounds the loss by the size of its gradient, so a small gradient implies a small excess loss. ...

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. Positive definiteness is the condition that decides whether a quadratic form curves upwards, and Sylvester’s criterion turns it into a finite computation: look at the determinants of the leading blocks of the matrix, from the top left outwards. ...