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Andrews curves transformation for multivariate and functional data.
Andrews curves map p-dimensional observations to functional curves using a Fourier-like bijection:
f_x(t) = x₁/√2 + x₂·sin(t) + x₃·cos(t) + x₄·sin(2t) + x₅·cos(2t) + …
for t ∈ [−π, π].
This provides a dimension-reduction visualization: each multivariate observation becomes a curve, and observations that are close in the original space produce curves that are close pointwise.
Structs§
- Andrews
Loadings - Andrews loadings: transform principal component loadings to Andrews curves.
- Andrews
Result - Result of Andrews curves transformation.
Functions§
- andrews_
loadings - Transform FPCA loadings to Andrews curves.
- andrews_
transform - Transform multivariate observations to Andrews curves.