Practice - GMM Likelihood
Practice Questions
Test your understanding with targeted questions
What does GMM stand for?
💡 Hint: Think about the type of data it deals with.
What is the role of the mixing coefficient in GMM?
💡 Hint: Remember, it indicates how much each component contributes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the GMM likelihood function represent?
💡 Hint: Focus on the role of likelihood in probability.
True or False: Soft clustering means each data point belongs exclusively to one cluster.
💡 Hint: Revisit the definition of soft clustering.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a dataset with two clusters represented in a 2D space, demonstrate how you would fit a GMM to this data and explain your reasoning.
💡 Hint: Consider how the EM algorithm optimizes parameters based on observed data.
Explain the impact of increasing the number of components in a GMM on model complexity and likelihood.
💡 Hint: Think about the balance between fitting the data well and maintaining a generalizable model.
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Reference links
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