We propose a new adaptive penalty for smoothing via penalized splines. The new form of adaptive penalization is based on penalizing the differences of the coefficients of adjacent bases, using non-convex penalties. This makes possible to estimate curves with varying amounts of smoothness. Comparisons with respect to some competitors are presented.
Daniele Cuntrera, Vito Muggeo (2022). Adaptive smoothing spline using non-convex penalties. In Book of short paper (pp. 1339-1344).
Adaptive smoothing spline using non-convex penalties
Daniele Cuntrera;Vito Muggeo
2022-01-01
Abstract
We propose a new adaptive penalty for smoothing via penalized splines. The new form of adaptive penalization is based on penalizing the differences of the coefficients of adjacent bases, using non-convex penalties. This makes possible to estimate curves with varying amounts of smoothness. Comparisons with respect to some competitors are presented.
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