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Machine Learning Approach based on Decision Trees
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Training Examples Shall we play tennis today? ( Tennis 1 ) Attribute, variable, property Object, sample, example decision
Shall we play tennis today? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Information Theory Background ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Entropy of set S denoted by H(S)
Entropy Largest entropy Boolean functions with the same number of ones and zeros have largest entropy
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Entropy = Measure of order in set S
[object Object],[object Object],[object Object],[object Object],Does this make sense?
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],entropy Entropy for value v
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Using Gain Ratios ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Training Examples Examples, minterms, cases, objects, test cases,
[object Object],[object Object],[object Object],14 cases 9 positive cases entropy
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Another Example: Russell’s and Norvig’s Restaurant Domain ,[object Object],[object Object],[object Object],[object Object],[object Object]
A Training Set
A decision Tree from Introspection
ID3 Induced Decision Tree
ID3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Choosing the Best Attribute ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Splitting Examples by Testing Attributes
Another example : Tennis 2 (simplified former example)
Choosing the first split
Resulting Decision Tree
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
How well does it work? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Extensions of the Decision Tree Learning Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Entropy first time was used ,[object Object]
Real-valued data ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Noisy data and Overfitting ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],(b and (c): better fit for data, poor generalization (d): not fit for the outlier (possibly due to noise), but better generalization
Pruning Decision Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Color 1 success 0 failure 0 success 1 failure red blue Color 1 success 3 failure 1 success 1 failure red blue 2 success 4 failure FAILURE
Incremental Learning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Evaluation Methodology ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Restaurant Example Learning Curve
Decision Trees to Rules ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
C4.5 ,[object Object],[object Object],[object Object],[object Object]
Summary of DT Learning ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],Questions and Problems
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Machine Learning