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For questions related to validation datasets, which are used for hyper-parameter optimization, early stopping or cross-validation. They are sometimes referred to as held-out datasets, but this latter term could also be used to refer to test datasets (i.e. the datasets used to assess the generalisation of the model).
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How to perform PCA in the validation/test set?
for the first point I'm very sorry that I cannot give you any literature on this, but I might be able to explain you, why you don't take PCA on both datasets independently.
Principal components analy …