Economical Models for Functional Covariation - SAMSI

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Overview Functional PCA finite element basis Estimation Examples Extensions and discussion Outline 1 Goals, Ambitions, and Context 2 A functional factor analysis model 3 A finite element basis for functional covariance 4 Estimation of functional covariance from data 5 Examples 6 Extensions and discussion
Overview Functional PCA finite element basis Estimation Examples Extensions and discussion A finite element basis for λ To make this work, we need to represent λ in terms of a basis expansion λ(s, w) = K∑ k L∑ c kl φ kl (s, w) l The finite element basis system is widely used in the approximation of solutions to partial differential equations. It begins by subdividing the domain into triangular subregions. In the case of λ defined over a parallelogram, this is easy.
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Economical Models for Functional Covariation - SAMSI

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