Practice Definition (8.2.2) - Non-Parametric Bayesian Methods - Advance Machine Learning
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Definition

Practice - Definition

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Practice Questions

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Question 1 Easy

What does the concentration parameter (α) do in a Dirichlet Process?

💡 Hint: Think about how changing α might affect the number of clusters.

Question 2 Easy

What is the base distribution (G₀) in the Dirichlet Process?

💡 Hint: Consider it as the starting point for our data clustering.

4 more questions available

Interactive Quizzes

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Question 1

What symbol represents the concentration parameter in a Dirichlet Process?

α
β
G₀

💡 Hint: Recall the formula G ~ DP(α, G₀).

Question 2

A Dirichlet Process allows for what kind of parameter space?

Finite-dimensional
Infinite-dimensional

💡 Hint: Think about how this relates to model flexibility.

1 more question available

Challenge Problems

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Challenge 1 Hard

You are given a dataset with an unknown number of categories. Explain how you would utilize a Dirichlet Process to model this data, considering the implications of the concentration parameter.

💡 Hint: Consider using visualization or simulation to see how clusters change with different values of α.

Challenge 2 Hard

How would you explain the relevance of the base distribution G₀ when setting up a Dirichlet Process for a new application?

💡 Hint: Think about how different distributions could affect clustering results.

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