4 papers
Stability of Vortex Patches in Two Dimensional Domains
Zelin Dong
In this paper, we investigate the orbital stability of vortex patches in the two-dimensional incompressible Euler equations, extending the penalized energy variational framework pi…
Stability of Vortex Patches in Channels
Zelin Dong, Chenyun Luo
In this paper, we investigate the orbital stability of vortex patches for the two-dimensional incompressible Euler equations in both a class of domains that satisfy the ``weak fini…
Hyper-Compression: Model Compression via Hyperfunction
Fenglei Fan, Juntong Fan, Dayang Wang +5
The rapid growth of large models' size has far outpaced that of computing resources. To bridge this gap, encouraged by the parsimonious relationship between genotype and phenotype…
An Efficient Algorithm for Vertex Enumeration of Arrangement
Zelin Dong, Fenglei Fan, Huan Xiong +1
This paper presents a state-of-the-art algorithm for the vertex enumeration problem of arrangements, which is based on the proposed new pivot rule, called the Zero rule. The Zero r…