Theory of Intelligence
MATH FOR AI•Probability•Probability Basics•1.3 Sum Rule, Product Rule & Bayes

Introduction

Marginalization, conditional probability, Bayes' theorem, and the roles of prior, likelihood and posterior.

Introduction

All of probabilistic machine learning rests on two rules — the sum rule and the product rule — and their famous consequence, Bayes' theorem. With them you can get any marginal or conditional probability from a joint distribution, and you can update beliefs when data arrive.

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