Author

Hua Su

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Preprint Oct 2026

Descent--Ascent Structure of Uniform Nondegeneracy

Classical models such as smooth strongly convex minimization and strongly convex--strongly concave optimization combine two types of curvature information: curvature remains uniformly separated from zero, and its positive and negative orientations are prescribed in advance. Uniform nondegeneracy disentangles these role...

Hua Su, Lei Zhang, Jin Zhao · 0 citations

Preprint Sep 2026

First-Order Optimization under Uniform Nondegeneracy: Geometry, Computation, and Information

A first-order optimization theory under uniform nondegeneracy that spans geometry, computation, and information is established, and it is shown that this tractability can break down on restricted domains.

Hua Su, Lei Zhang, Jin Zhao · 1 citation