Practice Challenge (5.2.2) - Latent Variable & Mixture Models - Advance Machine Learning
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Practice Questions

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Question 1 Easy

What is marginal likelihood?

💡 Hint: Consider what 'marginal' implies in statistics.

Question 2 Easy

Why do we encounter intractable integrals in latent variable models?

💡 Hint: Think about complexity in high-dimensional spaces.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is marginal likelihood in latent variable models?

a) The probability of hidden variables
b) The probability of observed data after integration
c) A fixed constant

💡 Hint: Think about what happens to the observed data.

Question 2

True or False: Approximate inference methods aim to provide exact probabilities.

True
False

💡 Hint: Reflect on the complexities discussed.

1 more question available

Challenge Problems

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Challenge 1 Hard

Given a dataset with various hidden traits, outline how you would estimate the marginal likelihood without direct computation.

💡 Hint: Focus on the strategy of approximating distributions.

Challenge 2 Hard

Design an experiment where you apply approximate inference methods to a real-world problem. Describe the problem and your method.

💡 Hint: Think about data that exhibits latent structures.

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