Bivariate Penalized Splines for Regression

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Estimation and Inference for Generalized Geoadditive Models (2020, background): “As discussed in Lai and Wang (2013), the number of triangles for bivariate penalized smoothing is not essential when the number is above some minimum depending upon the degree of the splines.”
Estimation and inference in spatially varying coefficient models (2018, methodology): “Our method tackles the estimation problem differently from the local approach, and the coefficient functions 𝛽k(·) are approximated using the bivariate splines over triangulations (BSTs) by Lai and Schumaker (2007) and Lai and Wang (2013).”