Date post: | 08-Oct-2018 |
Category: |
Documents |
Upload: | truonghuong |
View: | 217 times |
Download: | 0 times |
CPSC540
Nando de FreitasSeptember, 2011University of British Columbia
Discrete Probability and Bayesian Learning
Probability
Bayes rule
Learning and Bayesian inference
∑∈′
′′=
Hh
hphdp
hphdpdhp
)()|(
)()|()|(
d
h
Likelihood
Prior of “sheep” class
Posterior
“sheep”
Speech recognition P(words | sound) P(sound | words) P(words)
Final beliefs Likelihood of data Language modeleg mixture of Gaussians eg Markov model
Hidden Markov Model (HMM)
α
“Recognize speech” “Wreck a nice beach”
Definition of discrete r.v.s