I'm studying about artificial neural networks (ANN) for the first time and I am struck by how the concepts of neural networks appear to be similar to structural equation modeling (SEM). For example,
- input nodes in ANN remind me of manifest variables in SEM
- Hidden nodes in ANN remind of latent variables in SEM
- Every feature in ANN gets an input node as every observed variable gets a manifest variable in SEM
- ANN can have several output nodes just as SEM can have several final dependent variables
- Both can be use explanatory and predictive purposes (I think)
So please explain to me the differences between these two forms of statistical analysis