Tag: cool math
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cool geometry of the determinant
“If you want to master something, teach it” – Richard Feynman This winter break, I’ve been going through the English translation of Shilov’s Linear Algebra. The text is a must-read for anyone wanting a fundamental treatment of the subject. I wanted to highlight a proof of a property of determinants that is presented to the…
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Proving the Gradient Descent Exercise (Neural Networks and Deep Learning)
Chapter 1 of Neural Networks and Deep Learning by Michael Nielsen presents the following question. How should we choose a vector of changes (of fixed magnitude) in order to minimize or, to analogize, suppose you are at the top of a hill looking to find the fastest way down. What direction should you take a…