3 papers
math.AG2025
Totally nonnegative Peterson variety and strongly dominant weight polytope
Hiraku Abe, Tao Gui, Haozhi Zeng
We study the totally nonnegative part of the Peterson variety in arbitrary Lie type and establish its connection to the strongly dominant weight polytope. In particular, we prove t…
math.AG2025
Structure constants of Peterson Schubert calculus
Tao Gui, Yuqi Jia, Xinkai Yu +2
We give an explicit, positive, and type-uniform formula for all equivariant structure constants of the Peterson Schubert calculus in arbitrary Lie types, using only the Cartan matr…
cs.CV2024
UniPaint: Unified Space-time Video Inpainting via Mixture-of-Experts
Zhen Wan, Chenyang Qi, Zhiheng Liu +2
In this paper, we present UniPaint, a unified generative space-time video inpainting framework that enables spatial-temporal inpainting and interpolation. Different from existing m…