3 papers
stat.ME2026
Truly optimal low rank thin plate spline smoothing using a truncated Demmler-Reinsch basis
Paul Bach
Thin plate splines are highly attractive smoothers. However, they have cubic computational cost, which severely limits their use in practice. As a remedy, Wood (2003) suggested thi…
stat.ME2024
Bayesian Effect Selection in Additive Models with an Application to Time-to-Event Data
Paul Bach, Nadja Klein
Accurately selecting and estimating smooth functional effects in additive models with potentially many functions is a challenging task. We introduce a novel Demmler-Reinsch basis e…
math.ST2021
Posterior Concentration Rates for Bayesian Penalized Splines
Paul Bach, Nadja Klein
Despite their widespread use in practice, the asymptotic properties of Bayesian penalized splines have not been investigated so far. We close this gap and study posterior concentra…