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Bayesian Classifier
Gang Tao
Algebraic Geometry
Complex Analysis factal Differential equation
Geometry
Dynamical System
Combinatorial Mathematics
Statistics
Computational mathematics
Bayes Theorem
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

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Bayesian Classification

Editor's Notes

  1. http://codepen.io/gangtao/pen/waJvQG
  2. http://codepen.io/gangtao/pen/zvjzdb