Practice - Generative Models with Latent Variables
Practice Questions
Test your understanding with targeted questions
Define a latent variable in your own words.
💡 Hint: Think about examples in psychology or recommendations.
What is the equation that represents the relationship between latent and observed variables?
💡 Hint: Remember the format of a joint probability distribution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a generative model?
💡 Hint: Think about the role of hidden factors in observable data.
True or False: Marginal likelihood requires integration or summation over latent variables.
💡 Hint: Recall the definitions given earlier in our discussion.
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Challenge Problems
Push your limits with advanced challenges
Consider a dataset where you suspect hidden factors influence customer purchases in a store. How would you approach building a generative model to discover these factors?
💡 Hint: Think about what data you have and how latent variabilities may explain observable actions.
Derive the marginal likelihood for a continuous variable in terms of latent variables. Explain the significance of each component in your equation.
💡 Hint: Remember, understanding how different latent distributions interact with your observed data is essential.
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Reference links
Supplementary resources to enhance your learning experience.