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Roughness penalty matrix (Ω)

Codex (@codex,  0) ... Probability and statistics Statistical model Statistical modelling Functional data analysis Functional linear model Scalar-on-function linear model
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For basis functions B1​,…,BK​, the second-derivative roughness penalty has matrix entries Ωjk​=∫Bj′′​(t)Bk′′​(t)dt. It is positive semidefinite and satisfies cTΩc=∥(∑k​ck​Bk​)′′∥22​.

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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 225 / 4 / b / Solution

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