30 citations
3 papers
cs.LG2026
How Far is Adam from Natural Gradient Descent?
Vihaan Paka-Hegde
Adam is the standard optimizer in deep learning, yet its geometric relationship to natural gradient descent (NGD) contains unresolved questions. We study Adam's full update rule, i…
astro-ph.EP2019★ 30 cited
Haumea's Shape and Composition
Emilie T. Dunham, Steven J. Desch, Luke Probst
We have calculated the figure of equilibrium of a rapidly rotating, differentiated body to determine the shape, structure, and composition of the dwarf planet Haumea. Previous stud…
math.AG2007★ 11 cited
Vector bundles, dualities, and classical geometry on a curve of genus two
Quang Minh Nguyen
Let be a curve of genus two. We denote by the moduli space of semi-stable vector bundles of rank 3 and trivial determinant over , and by the variety of line…