Neural networks are quite noise resistant - this is one of their biggest advantages. You might want to try inserting inputs (-1.0,1.0), and 0 as input without input. Thus, the input to the weights from this neuron is 0.0, which means that no training will be there.
Probably the best book I've ever experienced was the misfortune of not ending (yet!), These are the neural networks and training machines of Simon S. Haikin. In it, he talks about all kinds of problems, including how you should distribute your materials / study guides for better preparation, etc. This is a really great book!
Daniel G
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