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Neural Networks Chapter 8. 8.1 Feed-Forward Neural Networks.

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Presentation on theme: "Neural Networks Chapter 8. 8.1 Feed-Forward Neural Networks."— Presentation transcript:

1 Neural Networks Chapter 8

2 8.1 Feed-Forward Neural Networks

3 Figure 8.1 A fully connected feed- forward neural network

4

5 Equation 8.1 Neural Network Input Format

6 Neural Network Output Format

7 Equation 8.2 The Sigmoid Function

8 Figure 8.2 The sigmoid function

9 8.2 Neural Network Training: A Conceptual View

10 Supervised Learning with Feed-Forward Networks Backpropagation Learning Genetic Learning

11

12 Unsupervised Clustering with Self-Organizing Maps

13 Figure 8.3 A 3x3 Kohonen network with two input layer nodes

14 8.3 Neural Network Explanation Sensitivity Analysis Average Member Technique

15 8.4 General Considerations What input attributes will be used to build the network? How will the network output be represented? How many hidden layers should the network contain? How many nodes should there be in each hidden layer? What condition will terminate network training?

16 Neural Network Strengths Work well with noisy data. Can process numeric and categorical data. Appropriate for applications requiring a time element. Have performed well in several domains. Appropriate for supervised learning and unsupervised clustering.

17 Weaknesses Lack explanation capabilities. May not provide optimal solutions to problems. Overtraining can be a problem.

18 8.5 Neural Network Training: A Detailed View

19 The Backpropagation Algorithm: An Example

20 Equation 8.3 Backpropagation Error Output Layer

21 Equation 8.4 Backpropagation Error Output Layer

22 Equation 8.5 Backpropagation Error Hidden Layer

23 Equations 8.6 and 8.7 The Delta Rule

24 Equation 8.8 Root Mean Squared Error

25 Kohonen Self-Organizing Maps: An Example

26 Figure 8.4 Connections for two output layer nodes

27 Equation 8.9 Classifying a New Instance Output Node = j

28 Equation 8.10 Adjusting the Weight Vectors Output Node = j

29 Building Neural Networks with iDA Chapter 9

30 9.1 A Four-Step Approach for Backpropagation Learning 1.Prepare the data to be mined. 2.Define the network architecture. 3.Watch the network train. 4.Read and interpret summary results.

31 Example 1: Modeling the Exclusive-OR Function

32

33 Figure 9.1A graph of the XOR function

34 Step 1: Prepare The Data To Be Mined

35 Figure 9.2 XOR training data

36 Step 2: Define The Network Architecture

37 Figure 9.3 Dialog box for supervised learning

38 Figure 9.4 Training options for backpropagation learning

39 Step 3: Watch The Network Train

40 Figure 9.5 Neural network execution window

41 Step 4: Read and Interpret Summary Results

42 Figure 9.6 XOR output file for Experiment 1

43 Figure 9.7 XOR output file for Experiment 2

44 Example 2: The Satellite Image Dataset

45 Step 1: Prepare The Data To Be Mined

46 Figure 9.8 Satellite image data

47 Step 2: Define The Network Architecture

48 Figure 9.9 Backpropagation learning parameters for the satellite image data

49 Step 3: Watch The Network Train

50 Step 4: Read And Interpret Summary Results

51 Figure 9.10 Statistics for the satellite image data

52 Figure 9.11 Satellite image data: Actual and computed output

53 9.2 A Four-Step Approach for Neural Network Clustering

54 Step 1: Prepare The Data To Be Mined The Deer Hunter Dataset

55 Step 2: Define The Network Architecture

56 Figure 9.12 Learning parameters for unsupervised clustering

57 Step 3: Watch The Network Train

58 Figure 9.13 Network execution window

59 Step 4: Read And Interpret Summary Results

60 Figure 9.14 Deer hunter data: Unsupervised summary statistics

61 Figure 9.15 Output clusters for the deer hunter dataset

62 9.3 ESX for Neural Network Cluster Analysis


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