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Charles
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I have a blog post which discusses some of the connections between deep learning and advanced theoretical physics such as spin funnels and the renormalization group

http://charlesmartin14.wordpress.com/2015/03/25/why-does-deep-learning-work/

http://charlesmartin14.wordpress.com/2015/04/01/why-deep-learning-works-ii-the-renormalization-group/

Charles
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