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Solution: Convex Optimization

Explore the solution to convex optimization by applying maximum likelihood estimation to beta distribution parameters. Understand how to derive optimal parameters using gradient methods and implement the solution in NumPy for practical machine learning optimization.

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Explanation

The probability density function of the beta distribution with the shape parameter θ\theta is given as follows:

for x[0,1]x \in [0,1] and θ>0\theta > 0 ...