How to Master Function Optimization in Deep Learning Abe AI

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In order to explain the convexity of mathematical functions, think about a large drinking cup and a ball. Now, let the ball roll from the border of the cup. Obviously, the ball will roll down towards the bottom of the cup, then it will oscillate a bit, eventually landing towards the lowest point of the cup. This is called the minimum, and the mathematical function that describes the cup is a convex function. It turns out that the minimum, in this case, is also the global minimum.

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