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Challenge: Convex Optimization

Understand how to apply convex optimization to estimate the shape parameter of a beta distribution using maximum likelihood estimation. Learn to formulate the problem mathematically, interpret viewer rating data, and implement an optimization solution applicable to real-world machine learning tasks.

Problem statement

Suppose a new movie is released and you want to estimate the probability that a random viewer will like it. You assume that this probability follows a beta distribution with a fixed lower bound of 00 and an upper bound of ...