advanced probability theory - university of oxford

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Advanced Probability Theory

Stephen Robertssjrob@robots.ox.ac.uk

• William of Ockham: model selection

• Thomas Bayes: inference

• Claude Shannon: uncertainty and information

• Edwin Jaynes: logic and inference

(a is just a)

Belief update – learning – basis of modern ML

(Proof of this in Lecture 2)

−10 −8 −6 −4 −2 0 2 4 6 8 100

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p(x)

p(A|x)

max{p(A|x),p(B|x)}

p(x|A)

Fig 1.2

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