Structure of mixture models

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Victor Medina

Researcher at The University of Edinburgh

Description of mixture models

  1. Which is the suitable probability distribution?
    • Get familiar with different probability distributions.
  2. How many sub-populations should we consider?
    • Data scientist or statistical criteria.
  3. What are the parameters and their estimations?
    • Awesome method called EM algorithm!
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Example 1: Gender data set

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Example 1: Gender dataset results

  1. Which distribution? Bivariate Gaussian distribution
  2. How many clusters? Two clusters
  3. What are the estimates? Means, Standard deviations and proportions
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Example 2: Handwritten digits

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Example 2: Handwritten digits results

  1. Which distribution? Bernoulli distribution
  2. How many clusters? Two clusters
  3. What are the estimates? The mean probability of being 1 for every dot and proportions
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Example 3: Crime types

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Example 3: Crime types results

  1. Which distribution? Multivariate Poisson distribution
  2. How many clusters? Six clusters
  3. What are the estimates? Average number of crimes by type and proportions
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Let's practice!

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