BN1 - Bayesian networks A simple, graphical notation for...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Bayesian networks A simple, graphical notation for conditional independence assertions and hence for compact speciFcation of full joint distributions Syntax A set of nodes, one per variable A directed, acyclic graph (link implies direct in±uence) A conditional distribution for each node given its parents Conditional distributions ²or each X i , P(X i |Parents(X i )) In the form of a conditional probability table (CPT) Distribution of X i for each combination of parent values
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Example Topology of network encodes conditional independence assertions Weather Cavity Toothache Catch Weather is independent of the other variables Toothache,Catch are conditionally independent given Cavity
Background image of page 2
Example I’m at work, neighbor John calls to say my alarm is ringing, but neighbor Mary doesn’t call. Sometimes it’s set o f by minor earthquakes. Is there a burglar? Variables: Burglar, Earthquake, Alarm, JohnCalls, MaryCalls Network topology refects “causal” knowledge A burglar can set the alarm o f An earthquake can set the alarm o f The alarm can cause Mary to call The alarm can cause John to call
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/07/2012 for the course CSCI 5512 taught by Professor Staff during the Spring '08 term at Minnesota.

Page1 / 17

BN1 - Bayesian networks A simple, graphical notation for...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online