If you fit some data with a very flexible function approximator, that does not imply any kind of isomorphism between the function approximator itself and the pr

If you fit some data with a very flexible function approximator, that does not imply any kind of isomorphism between the function approximator itself and the process generating the data. Some people cannot understand this, and believe that if you can closely fit the output of a process with a neural network that it implies the process itself is in some way related to neural networks.