4 papers
A new notion of Dirichlet boundary condition for elliptic equation of divergence form
Tianyu Guan, Lihe Wang, Chunqin Zhou
In this paper, we consider Dirichlet boundary conditions for elliptic equations in divergence form on rough domains by introducing a truncation-based weak solution framework that c…
Functional Attentive Interpretable Regression
Haixu Wang, Tianyu Guan, Jiguo Cao
In function-on-function regression, the coefficient surface may exhibit complex support structure---from localized patches to global patterns such as disconnected regions,…
Boundary pointwise regularity for the Poisson problem on uniform domain
Tianyu Guan, Lihe Wang, Chunqin Zhou
In this paper, we study the boundary pointwise regularity for the Poisson problem on domains with rough boundaries, specifically uniform domains. In general, it is not straightforw…
Interpretable additive model for analyzing high-dimensional functional time series
Haixu Wang, Tianyu Guan, Han Lin Shang
High-dimensional functional time series offers a powerful framework for extending functional time series analysis to settings with multiple simultaneous dimensions, capturing both…