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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
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For
basis functions
B
1
,
…
,
B
K
, the
second-derivative
roughness penalty has
matrix
entries
Ω
jk
=
∫
B
j
′′
(
t
)
B
k
′′
(
t
)
d
t
. It is positive semidefinite and satisfies
c
T
Ω
c
=
∥(
∑
k
c
k
B
k
)
′′
∥
2
2
.
Ancestors
(9)
Scalar-on-function linear model
Functional linear model
Functional data analysis
Statistical modelling
Statistical model
Probability and statistics
Area of mathematics
Mathematics
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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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