Hao Wu

collaborators

3 papers

math.OC2026

Convergence of Riemannian Stochastic Gradient Descents: Varying Batch Sizes And Nonstandard Batch Forming

Hao Wu

We establish convergence theorems for Riemannian stochastic gradient descents in which the underlying probability spaces vary from iteration to iteration. As applications, we deduc…

math.DG2026

$P i n^{-} (2)$ Bauer-Furuta invariants

Hao Wu

Adapting Bauer and Furuta's constructions of the refinement of the Seiberg-Witten invariants, we establish the analogous stable cohomotopy refinement of the $P i n^{-} (2)$ monopole i…

math.CV2025

Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces

Hao Wu

We obtain the asymptotic behavior of hole probability for random holomorphic sections on a compact Riemann surface with respect to the hole size.

Convergence of Riemannian Stochastic Gradient Descents: Varying Batch Sizes And Nonstandard Batch Forming

Pin−(2) Bauer-Furuta invariants

Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces

$P i n^{-} (2)$ Bauer-Furuta invariants