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math.DG2021
The Demailly system for a direct sum of ample line bundles on Riemann surfaces
Vamsi Pritham Pingali
We prove that a system of equations introduced by Demailly (to attack a conjecture of Griffiths) has a smooth solution for a direct sum of ample line bundles on a Riemann surface.…
cs.LG2021★ 4 cited
Stability of SGD: Tightness Analysis and Improved Bounds
Yikai Zhang, Wenjia Zhang, Sammy Bald +3
Stochastic Gradient Descent (SGD) based methods have been widely used for training large-scale machine learning models that also generalize well in practice. Several explanations h…
math.DG2021
A note on Demailly's approach towards a conjecture of Griffiths
Vamsi Pritham Pingali
We prove that a "cushioned" Hermitian-Einstein-type equation proposed by Demailly in an approach towards a conjecture of Griffiths on the existence of a Griffiths positively curved…