This great neural network tutorial goes step-by-step through backpropagation in training a neural network. There is also companion python code.
http://mattmazur.com/2015/03/17/a-step-by-step-backpropagation-example/comment-page-1/
see also:
http://denson-data-science.blogspot.com/2015/09/a-neural-network-in-11-lines-of-python.html
I just found this blog and have high hopes for it to continue. I have added to my favorites. Data Science Course
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