3 papers
math.NA2026
Inference of interacting kernel in the mean-field regime
Peiyi Chen, Qin Li, Li Wang +1
We study the problem of reconstructing interaction kernels in systems of interacting agents from macroscopic measurements when posed as an optimization problem. The reconstruction…
stat.ME2024
Nonparametric Density Estimation for Data Scattered on Irregular Spatial Domains: A Likelihood-Based Approach Using Bivariate Penalized Spline Smoothing
Kunal Das, Shan Yu, Guannan Wang +1
Accurately estimating data density is crucial for making informed decisions and modeling in various fields. This paper presents a novel nonparametric density estimation procedure t…
stat.ME2024
TSSS: A Novel Triangulated Spherical Spline Smoothing for Surface-based Data
Zhiling Gu, Shan Yu, Guannan Wang +2
Surface-based data is commonly observed in diverse practical applications spanning various fields. In this paper, we introduce a novel nonparametric method to discover the underlyi…