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Focusing on the specific case of gaussian outcomes, Using the convention
y = F(X) + Zb + xi
where xi is an independent error term and X are predictor variables (aka covariates or features).
Is it possible to enable a feature where the user could supply in the values of xi. Therefore xi is not estimated, the user passes in a vector of values 'xi = c(1, ...., 10)' where the length of xi is equal to the length of the outcome
as,
# in R
gp_model <- fitGPModel(group_data=group_data,
xi=c(1,3,4, ... , 10) ,
likelihood="gaussian",
y=outcome_xgb, X=X)
If you think this is do-able, I could elaborate further on the motivation