AI RESEARCH

Posterior Contraction of L\'evy Adaptive B-spline Regression in Besov Spaces

arXiv CS.LG

ArXi:2605.19610v1 Announce Type: cross We investigate the asymptotic properties of the L\'evy Adaptive B-spline (LABS) regression model, a Bayesian nonparametric method that incorporates B-spline kernels into the L\'evy Adaptive Regression Kernel (LARK) model. LABS applies splines of varying degrees with independently defined knots, yielding a flexible model class capable of adapting to irregular and locally structured features of the true function.