Hao Wu

activity

20232026

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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…

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

Pin−(2) Bauer-Furuta invariants

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