Locally weighted regression is a very powerful non-parametric model used in statistical learning.
Hopfield net is a kind of neural network with binary threshold units and recurrent connections. The connections are symmetric and the model has a global energy function which results in a surprisingly simple training algorithm.
Logistic regression is a regression model used for data classification. The model is very simple since, in fact, it is a linear classifier.
However, when you start to explore your data, the simplest model is a good spot to start at.