5 papers
: Discrete Diffusion with Regulation Reinforcement for Single-Cell Perturbation Prediction
Ninghan Fan, Qi Liu, Xunuo Zhu +9
Predicting single-cell transcriptomic responses to genetic perturbations is central to functional genomics and virtual-cell modeling. Existing approaches, however, typically predic…
Remarks on minimal hypersurfaces in shrinking gradient Ricci solitons
Yukai Sun, Guangrui Zhu
In this paper, we prove that any compact 2-sided smooth stable minimal hypersurface in a shrinking gradient Ricci soliton with scalar curvature must ha…
Band width estimates with lower spectral curvature bounds
Xiaoxiang Chai, Yukai Sun
In this work, we use the warped \( μ\)-bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lowe…
Variation-aware Flexible 3D Gaussian Editing
Hao Qin, Yukai Sun, Meng Wang +3
Indirect editing methods for 3D Gaussian Splatting (3DGS) have recently witnessed significant advancements. These approaches operate by first applying edits in the rendered 2D spac…
Level sets of harmonic functions on three-dimensional manifolds with nonnegative scalar curvature
Yukai Sun
We investigate the level sets of harmonic functions on . Drawing inspiration from Miao, we adopt the method developed by Munteanu-Wang to derive…