Description Usage Arguments Details Value References See Also

These function calculates the generalized cross-validation criterion for the
smoothing parameters *α_v* or *α_w* that are used in the
`FCP_TPA`

algorithm. As the criterion is symmetric in *v* and
*w*, this function implements a generic criterion, which is called by
`findAlphaVopt`

, `findAlphaWopt`

with the correct values.

1 | ```
gcv(alpha, n, z, eta, lambda)
``` |

`alpha` |
The current value of the smoothing parameter. |

`n` |
The length of the dimension, for which the smoothing parameter is to be optimized. |

`z` |
A vector of length |

`eta` |
A vector of length |

`lambda` |
A vector of length |

The criterion can be evaluated in a numerically efficient way, adopting the ideas in Huang, Shen and Buja (2008) to three-ways tensors. TODO!

The value of the GCV criterion.

G. I. Allen, "Multi-way Functional Principal Components Analysis", IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2013.

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