Thanks. I read several times, and along with another response, I think I have a better understanding now, though still not having a complete grasp.
>> So sampling one point gives us the gold amount for cheese amount 1, 2, and 3. This is the 'function', and ...
I get this part, so each point in this N-dimensional space yields a function f of the index, and this is the function.
>> Yes, the function changes shape as you get more data because the parameters governing that function
Getting more data should now get more such points (in N-dimensional space), but with each such point being the 'function' how is it changing shape.
Nevertheless, I think I have much better glimpses after reading your and other other responses here than from the original article, which I still find confusing even on reading again.
>> So sampling one point gives us the gold amount for cheese amount 1, 2, and 3. This is the 'function', and ...
I get this part, so each point in this N-dimensional space yields a function f of the index, and this is the function.
>> Yes, the function changes shape as you get more data because the parameters governing that function
Getting more data should now get more such points (in N-dimensional space), but with each such point being the 'function' how is it changing shape.
Nevertheless, I think I have much better glimpses after reading your and other other responses here than from the original article, which I still find confusing even on reading again.