Implement construct_inputs class method for Ax integration #3037
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Summary:
LatentKroneckerGP requires
train_X
,train_T
, andtrain_Y
as input data, wheretrain_X
andtrain_T
define the Cartesian product space andtrain_Y
are the corresponding observations (with potentially missing values).Ax provides the data as samples from the product space and we need to separate it into the individual factors.
For example, let X = [a, b, c] and T = [0, 1], then the full product space is {(a, 0), (a, 1), (b, 0), (b, 1), (c, 0), (c, 1)}. Ax would provide us with observations like
x1 = (a, 0), y1 = 1
x2 = (a, 1), y2 = 2
x3 = (b, 0), y3 = 3
x4 = (c, 1), y4 = 4
and we need to transform them into X = [a, b, c], T = [0, 1], and Y = [[1, 2], [3, nan], [nan, 4]] (note that y values for (b, 1) and (c, 0) are missing).
Differential Revision: D83781022