prml-slides-8

# prml-slides-8 - PATTERN RECOGNITION AND MACHINE LEARNING...

This preview shows pages 1–20. Sign up to view the full content.

PATTERN RECOGNITION AND MACHINE LEARNING CHAPTER 8: GRAPHICAL MODELS

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

View Full Document
Bayesian Networks Directed Acyclic Graph (DAG)
Bayesian Networks General Factorization

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

View Full Document
Bayesian Curve Fitting (1) Polynomial
Bayesian Curve Fitting (2) Plate

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

View Full Document
Bayesian Curve Fitting (3) Input variables and explicit hyperparameters
Bayesian Curve Fitting Learning Condition on data

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

View Full Document
Bayesian Curve Fitting Prediction Predictive distribution: where
Generative Models Causal process for generating images

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

View Full Document
Discrete Variables (1) General joint distribution: K 2 { 1 parameters Independent joint distribution: 2( K { 1) parameters
Discrete Variables (2) General joint distribution over M variables: K M { 1 parameters M -node Markov chain: K { 1 + ( M { 1) K ( K { 1) parameters

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

View Full Document
Discrete Variables: Bayesian Parameters (1)
Discrete Variables: Bayesian Parameters (2) Shared prior

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

View Full Document
Parameterized Conditional Distributions If are discrete, K -state variables, in general has O ( K M ) parameters. The parameterized form requires only M + 1 parameters
Linear-Gaussian Models Directed Graph Vector-valued Gaussian Nodes Each node is Gaussian, the mean is a linear function of the parents.

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

View Full Document
Conditional Independence a is independent of b given c Equivalently Notation
Conditional Independence: Example 1

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

View Full Document
Conditional Independence: Example 1
Conditional Independence: Example 2

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 71

prml-slides-8 - PATTERN RECOGNITION AND MACHINE LEARNING...

This preview shows document pages 1 - 20. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online