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Companion webpage to the book "Mathematics For Machine Learning"
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Typo in Example 6.12 (Beta-Bernoulli Conjugacy) #766

Closed ckwastra closed 6 months ago

ckwastra commented 6 months ago

Describe the mistake Regarding the following equation:

$$p(\theta|x,\alpha,\beta)=p(x|\theta)p(\theta|\alpha,\beta)$$

I believe that the intent here was to use symbol $\propto$ but not $=$ since

$$p(\theta|x,\alpha,\beta) = \frac{p(x|\theta)p(\theta|\alpha,\beta)}{p(x|\alpha,\beta)}$$

according to Bayes' theorem.

Location

  1. Draft (2023-12-19)
  2. Chapter 6
  3. Page 209
  4. Equation (6.105a)

Proposed solution Change the above equation to

$$p(\theta|x,\alpha,\beta) \propto p(x|\theta)p(\theta|\alpha,\beta)$$

artkpv commented 4 months ago

This is the case when you struggle to understand but it turns out that it was a mistake in the book :confused: Thanks for posting this