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Bayesian Classification
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Gang Tao
November 03, 2015
Technology
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580
Bayesian Classification
This slides introduced the basic concept and implementation of Bayesian Classification
Gang Tao
November 03, 2015
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Transcript
Bayesian Classifier Gang Tao
Algebraic Geometry Complex Analysis factal Differential equation Geometry Dynamical System
Combinatorial Mathematics Statistics Computational mathematics
Bayes Theorem
None
Bayes Theorem
Diachronic Interpretation H -> Hypothesis D -> Data P(H) ->
Prior Probability P(H|D) -> Posterior Probability P(D|H) -> Likelihood P(D) -> Normalizing Constant
Bayes Theorem Original Belief Observation + = New Belief
Bayes and Occam’s Razor
“All Models are wrong, but some of them are better
than the others”
Model Complexity
Naive Bayes “Naive” because it is based on independence assumption
All the attributes are conditional independent given the class
Naive Bayes Classifier
How to build a Bayesian Classifier for prediction Prepare Data
Features Extraction Select Distribution Model Calculate the Probability for each attributes Multiply All Probabilities Label with highest Probability
Advantage VS. Disadvantage Powerful Efficient in Space and Time Incremental
Trainer Simple Independant Assumption Probability are not relevant
Application of Bayesian Classifier Spam Email Filter Natural Language Processing
Word Segmentation Spell Checking Machine Translation Pattern Recognition
Thank You