Execute five training processes for the Perceptron network, initializing the weight vector

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

3.6 Practical Work

The analysis of a fractional distillation process for petrol revealed that a given oil could be classified into two purity classes (P, and P) from the measurement of three variables (x1, x2 and x3), which represent some physicochemical properties of the oil. The team of engineers and scientists proposed the application of a Perceptron network to perform the automatic classification of both classes.

Thus, based on the information gathered about the process, the team composed the training set presented in Appendix A, using a convention where the value -1 indicates oil belonging to class P, and value I indicates oil belonging to class P2 Therefore, the neuron that implements the Perceptron has three inputs and one output, as illustrated in Fig. 3.8.

Using the supervised Hebb's algorithm (Hebb's rule) for pattern classification and, assuming the learning rate as 0.01, do the following tasks:

1. Execute five training processes for the Perceptron network, initializing the weight vector (w) with random values between zero and one for each training processes. If necessary, update the random number generator in each process so that the initial elements composing the vector are different on each training. The training set is found in Appendix A.

2. Record the results from the five training processes on Table 3.2.

3. After training the Perceptron put the network into operation to classify the oil samples from Table 3.3, indicating on this table the output values (classes) from the five training processes performed on item 1.

4. Explain why the number of training epochs of this application varies each time the Perceptron is trained.

5. For this given application, is it possible to affirm that the classes are linearly separable?

 

Attachments:

Related Questions

. Introgramming & Unix Fall 2018, CRN 44882, Oakland University Homework Assignment 6 - Using Arrays and Functions in C

DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma

. The standard path finding involves finding the (shortest) path from an origin to a destination, typically on a map. This is an

Path finding involves finding a path from A to B. Typically we want the path to have certain properties,such as being the shortest or to avoid going t

. Develop a program to emulate a purchase transaction at a retail store. This program will have two classes, a LineItem class and a Transaction class. The LineItem class will represent an individual

Develop a program to emulate a purchase transaction at a retail store. Thisprogram will have two classes, a LineItem class and a Transaction class. Th

. SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1 Project 1 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of

. Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1 Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of