How to calibrate the GP model with various data?

My question is: Z(x)=Y(x,theta)

Z(x) is a series of experimental data, Y(x,theta) is calculated by the code and built by GP. I want to use PYMC3 to calibrate (theta).

I don’t know to give Z(x) to (obs), since (x) is the same in Z(x) and Y(x, theta), and I only know how to calibrate (theta) when there is a single (x).

This might be helpful. I was dealing with similar problem.

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It is great that we are doing the similar thing. But I am still comfused to solve this problem. Did you find the way out?