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Machine Learning

by: Lindsey Lakin Jr.

Machine Learning CS 678

Lindsey Lakin Jr.
GPA 3.89

Gregory Wolffe

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About this Document

Gregory Wolffe
Class Notes
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This 2 page Class Notes was uploaded by Lindsey Lakin Jr. on Saturday September 26, 2015. The Class Notes belongs to CS 678 at Grand Valley State University taught by Gregory Wolffe in Fall. Since its upload, it has received 96 views. For similar materials see /class/214370/cs-678-grand-valley-state-university in ComputerScienence at Grand Valley State University.

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Date Created: 09/26/15
Developing a Decision Tree Problem Suppose you wish to develop a decision tree that can be used to answer the question Is today a good day to wind surf Observations training data The ID3 algorithm 1 Determine the root node of the decision tree by choosing the attribute of the training data that maximizes the information gain 0 Use the formula for Entropy k EntropyS E Z p logz P 11 where S is the collection of examples k is the number of categories and p is the ratio of the x N cardinality of category 139 to the cardinality of S as in p 0 Then use the formula for Information Gain SV Sl GainS a EntropyS Z vvalu2a EntropySV where valuesa is the set of all possible values for attribute a and SV is the subset of set S for which attribute a has value v 1 Begin with the entire set of training examples S D1 D14 Set er 9 Entropy S 8 6 985 a V Wind Weak Strong Set er 9 Entropy SWeak 2 4 8 Sgtmng 6 2 81 1 Gain s Wind 985 614916 814811 128 b V Water Cold Moderate Warm Set er 9 Entropy Seold 1 3 81 1 SModerate 4 2 91 8 SWarm 3 1 81 l Gain s Water 985 414811 614918 414811 128 c V Air Cool Warm Set er 9 Entropy SCool 3 4 SWarm 5 2 Gain s Air 985 714952 714863 078 d V Forecast Rainy Cloudy Sunny Set er 9 Entropy SRainy 1 4 SCloudy 1 O O ssunny 6 2 81 1 Gain S Forecast 985 514722 114O 814811 264 The Forecast attribute maximizes Information Gain and is chosen as the root node leading to the following initial Decision Tree Examples are then sorted down the tree accordingly Rainy Clo dy 12789111213 3 45631014 Yes


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