There is no "a neural net". Which model do you mean? Certainly not the deep belief networks under discussion in the article.
edit: I'm not sure I was clear enough-- the term "neural network" is a misnomer that encompasses extremely different models that are largely unrelated except for being vaguely inspired by the brain. A vanilla multilayer-perceptron is essentially a generalization of logistic regression. Restricted Boltzmann Machines are different beasts-- they're a restriction of undirected graphical models made amenable to efficient training. Recurrent neural networks aren't in any way a minor extension of other neural networks-- you need different terminology to talk meaningfully about them and they essentially don't have reliable training algorithms. This latter class can be viewed as Turing-equivalent computation, but they're not at all the same as the models in the original article.
edit: I'm not sure I was clear enough-- the term "neural network" is a misnomer that encompasses extremely different models that are largely unrelated except for being vaguely inspired by the brain. A vanilla multilayer-perceptron is essentially a generalization of logistic regression. Restricted Boltzmann Machines are different beasts-- they're a restriction of undirected graphical models made amenable to efficient training. Recurrent neural networks aren't in any way a minor extension of other neural networks-- you need different terminology to talk meaningfully about them and they essentially don't have reliable training algorithms. This latter class can be viewed as Turing-equivalent computation, but they're not at all the same as the models in the original article.