The power of logic is that a few well chosen domain specific clauses can reduce the problem dimensionality dramatically.
If you are building a robot, even if the mechanics are not really newtonian, modeling the system mechanically can get a model much closer to the underlying manifold, reduce training set size and improve generalizability. So I don't think the old way of doing things should be thrown out. They got pretty near the right answers, and we should use newer methods to just fill in the gap between theory and practice.
E.g. pre-train a DBN using an analytical model and later adjust it on real data.
If you are building a robot, even if the mechanics are not really newtonian, modeling the system mechanically can get a model much closer to the underlying manifold, reduce training set size and improve generalizability. So I don't think the old way of doing things should be thrown out. They got pretty near the right answers, and we should use newer methods to just fill in the gap between theory and practice.
E.g. pre-train a DBN using an analytical model and later adjust it on real data.