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Bayesian Inference Q2Q 2017 Alexei Gilchrist
A Nexus mindmap
Introduction
0
Logic
0
Plausibility
1
Desiderata
2
Product rule
3
Sum rule
4
Probability as extended logic
5
Plausibility reasoning
0
Foundations of
probability
2
Probability theory is nothing but
common sense reduced to calculus
Laplace, 1819
1
Foundations
1
Marginalisation
0
Variables
1
Some consequences
of the sum rule
2
Marginalisation
0
Bayes' rule
0
Chaining
1
Some consequences
of the product rule
3
Bayes' rule
1
Assigning numbers
2
Numbers that
summarise a
distribution
0
Summarising
3
Basics
2
Probabilities to graphs
0
Information flow
1
Bayesian networks
7
Monty Hall revisited
0
Monty Hall again
5
Maximum Entropy
6
Exponential process
1
Parameter estimation
0
Least squares solution
0
Fitting a line
2
Parameter
estimation
3
Occam's razor
0
Model
selection
4
Bayesian Inference
Q2Q
2017
Alexei Gilchrist