Struggling with Gradient Descent

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Please use what I have anyway you can (and add me to your paper).

README (slides)

Prove that gradient descent finds zero error in logarithmic time assuming the network remains random through the gradient descent process. What I failed to really appreciate is that the hard part of the proof was in the assumption.
      With Errata pdf tex
      Claude one pass clean pdf tex
      Fixed by Claude 1-5 pdf tex

Some attempt at understanding what occurs through the gradient descent process.
      Short pdf tex
      Long by Claude 1 pdf tex