Part II − Application to Markov Structures. A Motivating Example ✕✕✕✕✕✕✕✕

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Presentation transcript:

Part II − Application to Markov Structures

A Motivating Example ✕✕✕✕✕✕✕✕

Conditional Mutual Independence

Example 1

Example 2

Example 3

____________________________ _________

Full Conditional Mutual Independence (FCMI)

Notations

Illustration of Im(K)

The Implication Problem

Markov Random Field

Graph Theory Terminologies

Global Markov Property

FCMIs Specified by a MRF

Type I and Type II Atoms

A Graph-Theoretic Analog

Markov Chain

Special Properties of a Markov Chain

Construction of Information Diagram

Nonnegativity of µ*

A Formal Justification