swMATH ID: 44817
Software Authors: Jhong, Jae-Hwan; Bak, Kwan-Young; Koo, Ja-Yong
Description: Penalized polygram regression. We consider a study on regression function estimation over a bounded domain of arbitrary shapes based on triangulation and penalization techniques. A total variation type penalty is imposed to encourage fusion of adjacent triangles, which leads to a partition of the domain consisting of disjointed polygons. The proposed method provides a piecewise linear, and continuous estimator over a data adaptive polygonal partition of the domain. We adopt a coordinate decent algorithm to handle the non-separable structure of the penalty and investigate its convergence property. Regarding the asymptotic results, we establish an oracle type inequality and convergence rate of the proposed estimator. A numerical study is carried out to illustrate the performance of this method. An R software package polygram is available.
Homepage: https://link.springer.com/article/10.1007/s42952-022-00181-5
Dependencies: R
Keywords: barycentric coordinates; coordinate descent algorithm; minimaxity; polygonal partitions; triangulation
Related Software: fields; Triangle; ConstrainedLasso; R; ISLR
Cited in: 1 Document

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Penalized polygram regression. Zbl 07643159
Jhong, Jae-Hwan; Bak, Kwan-Young; Koo, Ja-Yong

Cited in 1 Field

1 Statistics (62-XX)

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