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Decision Tree Concept of Decision Tree
Tree-like graph for classification purpose Through recursive partitioning it consists of root node, internal nodes, link, leaf
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An Example of ‘Play Golf’ or ‘Not”
Input variables - Outlook: rain. overcast,sunny - Temperature: number - Humidity: number - Windy: true, false Decision - play golf - do not play golf
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Decision Tree from the Data
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1st round: Group data roughly
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The final grouping of data with rules
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Training Dataset This follows an example from Quinlan’s ID3
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Output: A Decision Tree for Credit Approval
age? <=30 overcast 30..40 >40 student? yes credit rating? no yes excellent fair no yes yes no
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Extracting Classification Rules from Trees
Represent the knowledge in the form of IF-THEN rules One rule is created for each path from the root to a leaf Each attribute-value pair along a path forms a conjunction The leaf node holds the class prediction Rules are easier for humans to understand Example IF age = “<=30” AND student = “no” THEN buys_computer = “no” IF age = “<=30” AND student = “yes” THEN buys_computer = “yes” IF age = “31…40” THEN buys_computer = “yes” IF age = “>40” AND credit_rating = “excellent” THEN buys_computer = “yes” IF age = “>40” AND credit_rating = “fair” THEN buys_computer = “no”
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An Example of ‘Car Buyers’
no Job M/F Area Age Y/N 1 NJ M N 35 2 F 51 3 OW 31 Y 4 EM 38 5 S 33 6 54 7 49 8 32 9 10 11 12 50 13 36 14 * (a,b,c) means a: total # of records, b: ‘N’ counts, c: ‘Y’ counts
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Lab on Decision Tree(1) SPSS Clementine, SAS Enterprise Miner
See5/C5.0Download See5/C Evaluation from
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Lab on Decision Tree(2) From below initial screen, choose File – Locate Data
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Lab on Decision Tree(3) Select housing.data from Samples folder and click open.
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Lab on Decision Tree(3(4)
This data set is on deciding house price in Boston area. It has 350 cases and 13 variables.
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Lab on Decision Tree (5) Input variables crime rate
proportion large lots: residential space proportion industrial: ratio of commercial area CHAS: dummy variable nitric oxides ppm: polution rate in ppm av rooms per dwelling: # of room for dwelling proportion pre-1940 distance to employment centers: distance to the center of city accessibility to radial highways: accessibility to high way property tax rate per $10\,000 pupil-teacher ratio: teachers’ rate B: racial statistics percentage low income earners: ratio of low income people Decision variable Top 20%, Bottom 80%
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Lab on Decision Tree(6) For the analysis, click Construct Classifier or click Construct Classifier from File menu
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Lab on Decision Tree(7) Click on Global pruning to (V ). Then, click OK
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Lab on Decision Tree(8) Decision Tree Evaluation with Training data
Evaluation with Test data
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Lab on Decision Tree(9) Understanding picture
We can see that (av rooms per dwelling) is the most important variable in deciding house price.
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Lab on Decision Tree(11) 의사결정나무 그림으로는 규칙을 알아보기 어렵다.
To view the rules, close current screen and click Construct Classifier again or click Construct Classifier from File menu.
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Lab on Decision Tree(12) Choose/click Rulesets. Then click OK.
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Lab on Decision Tree(13)
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