Practice Marginal Likelihood (5.2.1) - Latent Variable & Mixture Models
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Marginal Likelihood

Practice - Marginal Likelihood

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is marginal likelihood?

💡 Hint: Think about how it relates to latent variables.

Question 2 Easy

Why is marginal likelihood important in model selection?

💡 Hint: Consider how models are compared.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does marginal likelihood represent in a generative model?

The chance of observing latent data
The probability of observed data
The expected value of latent variables

💡 Hint: Remember what it encapsulates in terms of observations.

Question 2

Is it true that we can easily compute marginal likelihood in all cases?

True
False

💡 Hint: Think about the complexity of high-dimensional data.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Explain how you would approach a situation where you are unable to compute marginal likelihood directly due to high-dimensional data. What strategies would you consider?

💡 Hint: Consider the significance of simplifying interactions in large datasets.

Challenge 2 Hard

Consider a case study in which two different models give different marginal likelihoods for the same dataset. Discuss how you would determine which model is superior and justify your reasoning.

💡 Hint: Reflect on what higher marginal likelihood implies about a model's performance.

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Reference links

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