4 papers
Regularity of Second-Order Elliptic PDEs in Spectral Barron Spaces
Ziang Chen, Liqiang Huang, Mengxuan Yang +1
We establish a regularity theorem for second-order elliptic PDEs on in spectral Barron spaces. Under mild ellipticity and smallness assumptions, the solution gains…
mViSE: A Visual Search Engine for Analyzing Multiplex IHC Brain Tissue Images
Liqiang Huang, Rachel W. Mills, Saikiran Mandula +7
Whole-slide multiplex imaging of brain tissue generates massive information-dense images that are challenging to analyze and require custom software. We present an alternative quer…
Weak-to-Strong Generalization Enables Fully Automated De Novo Training of Multi-head Mask-RCNN Model for Segmenting Densely Overlapping Cell Nuclei in Multiplex Whole-slice Brain Images
Lin Bai, Xiaoyang Li, Liqiang Huang +7
We present a weak to strong generalization methodology for fully automated training of a multi-head extension of the Mask-RCNN method with efficient channel attention for reliable…
Barron Space Representations for Elliptic PDEs with Homogeneous Boundary Conditions
Ziang Chen, Liqiang Huang
We study the complexity of approximating high-dimensional second-order elliptic PDEs with homogeneous boundary conditions on the unit hypercube using Barron spaces. Under suitable…