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Bayesian networks intro

A **Bayesian network** is a graph of variables with arrows meaning direct probabilistic influence—plus tables that quantify those links.

What it is

A Bayesian network is a graph of variables with arrows meaning direct probabilistic influence—plus tables that quantify those links.

Why it matters

Makes assumptions visible: what depends on what. Useful for diagnosis-style reasoning and for talking carefully about causality candidates (Course 16).

How it works (plain)

Nodes = uncertain variables. Edges = direct dependence. No edge = conditional independence assumptions. Query by updating beliefs when you observe some nodes.

Everyday example

Alarm ← Burglary / Earthquake; Alarm → NeighborCall—classic teaching story (use responsibly; it’s a cartoon).

Try it

Draw 4 nodes for “late shipment” with your best dependence arrows; list one independence you assumed.

Myths

⚠️ Myth: An arrow always proves causation.
✓ Reality: Graphs encode modeling assumptions; causal claims need more (Course 16).
⚠️ Myth: Bayes nets require “true” probabilities from nature.
✓ Reality: They’re models—calibrate and stress-test.

Sources

  • Course 06 uncertainty; Course 04 Bayes examples; Course 16 causality
  • AIMA / Pearl intro materials (cite specifically)