Practice Mathematical Formulation - 8.3.2 | 8. Non-Parametric Bayesian Methods | Advance Machine Learning
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8.3.2 - Mathematical Formulation

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What metaphor does the CRP use to explain clustering?

πŸ’‘ Hint: Think about how customers relate to data points and tables to clusters.

Question 2

Easy

What does the concentration parameter \( \alpha \) represent?

πŸ’‘ Hint: Consider how it impacts the probability of starting new tables.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the concentration parameter (Ξ±) influence in the CRP?

  • Likelihood of new tables
  • Size of tables
  • Type of cuisine

πŸ’‘ Hint: Think about how new decisions are made.

Question 2

True or False: The CRP allows for a set number of clusters.

  • True
  • False

πŸ’‘ Hint: Consider the concept of 'infinity' in the restaurant metaphor.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a scenario where you have a CRP in a data set with a concentration parameter Ξ± = 5 and a total of n = 10 existing customers. Calculate the probability of a new customer joining an existing table with the following distribution of customers at combinations: Table 1 (4), Table 2 (3), Table 3 (2), and Table 4 (1). Draw conclusions!

πŸ’‘ Hint: Focus on calculating probabilities using the defined formulas.

Question 2

Create a thoughtful case study analyzing how varying the concentration parameter Ξ± impacts the clustering behavior in a dataset of customer purchases.

πŸ’‘ Hint: Consider examples of datasets and apply the impact of Ξ±.

Challenge and get performance evaluation