Adaptive Bivariate Penalized Spline Estimation for Spatially Varying Coefficient Models on the Streaming Data

Music City Center 

In this work, we propose an adaptive bivariate penalized spline regression framework for spatially varying coefficient models in the context of streaming data. The method accommodates the dynamic insertion of new spatial locations by sequentially updating summary statistics, enabling real-time modeling as data arrives. We establish the consistency of the estimators for the functional coefficients under this framework. Simulation studies and a real-world application are presented to illustrate the effectiveness and adaptability of the proposed approach.

bivariate splines

semi-parametric

spatial

triangulation 

Section on Nonparametric Statistics