4 papers
Reducing the Gap Between Spatial and Space-Filling Curve Neighbors in 3D Point Cloud Segmentation
Konan Sasaki, Junya Komori, Kazuhiro Hotta
As a lightweight and highly accurate method for nearest-neighbor search in 3D point clouds, approaches based on space-filling curves (SFC) have been proposed. However, due to the i…
An adaptive localized orthogonal decomposition method for Helmholtz problems
Yuwen Li, Chuxin Que
We develop an adaptive localized orthogonal decomposition (ALOD) method for Helmholtz problems with parametrized loads. Under standard resolution, oversampling, and discrete-stabil…
Sharp embeddings between quasi-Banach Besov spaces and shallow ReLU variation spaces
Yuwen Li, Yupeng Wang
Let be the ridge dictionary generated by on a bounded Lipschitz domain . We establish sharp embeddings between Besov spac…
Localized pointwise a posteriori error estimates for nonconforming finite element methods
Yongxing Guo, Yuwen Li
This paper establishes the first localized pointwise a posteriori error estimates for nonconforming finite element discretizations of the Poisson and biharmonic equations. For the…