Lesson 0325 min read

Bayesian Inference & Updating

Priors, likelihood formulations, and updating belief distributions.

Inverting Conditional Probabilities

Bayes' Theorem provides the exact mathematical mechanism for updating hypotheses upon observing empirical evidence:

P(θ∣D)=P(D∣θ)P(θ)P(D)P(\theta \mid D) = \frac{P(D \mid \theta) P(\theta)}{P(D)}