Take a vector fobs of assembly performances
over several experiments,
and return a vector of performances
predicted as the geometric mean
of performances of all assemblages
that share a same assembly motif,
by excluding the assemblage to predict.
validate_gmean_bymot_LOO_xpr(fobs, assMotif, xpr)a numeric vector. The vector fobs contains the
quantitative performances of assemblages.
a vector of labels of length(fobs).
The vector assMotif contains the assembly motifs of assemblages.
a vector of numerics of length(fobs).
The vector xpr contains the weight of each experiment,
and the labels (in names(xpr)) of different experiments.
The weigth of each experiment is used
in the computation of the Residual Sum of Squares
in the function rss_clustering.
The used formula is rss
if each experiment has the same weight.
The used formula is wrss
(barycenter of RSS for each experiment)
if each experiment has different weights.
All assemblages that belong to a given experiment
should then have a same weigth.
Each experiment is identified by its names (names(xpr))
and the RSS of each experiment is weighted by values of xpr.
The vector  is generated
by the function stats::setNames.
Return a vector of length(fobs).
Its values are computed as the geometric mean
of performances of assemblages
that share a same assembly motif,
experiment by experiment.
by excluding the assemblage to predict.
Predicted performances are computed
using geometric mean (opt.mean = "amean")
of performances of assemblages
that share a same assembly motif (opt.model = "bymot"),
experiment by experiment,
by excluding the assemblage to predict.
validate_amean_bymot_LOO_xpr arithmetic mean
  by assembly motif 
validate_amean_byelt_LOO_xpr arithmetic mean
  by elements occurring within assembly motif 
validate_gmean_byelt_LOO_xpr geometric mean
  by elements occurring within assembly motif