**Module Name:** Computational Intelligence**Module Code:** COM3013**Maximum mark:** 50 (50% of the whole module)**Assignment Title :** Coursework 2**COM3013 Coursework 2 Computational Intelligence – UK.**

**Note:** Please do not copy from another student’s submission. All the other submissions are in the system and Turnitin will check for similarities. Academic Misconduct: Coursework will be routinely checked for academic misconduct. Your submission must be your own work. Please read the Student Handbook to ensure that you know what this means.

All functions in the DEAP library or PyTorch NumPy SymPy are allowed to be used for this coursework, and any other libraries within reason (e.g. for visualisation).

Please include your full name, URN and email address in the report.You may use any formatting you like for the report. You must include everything in one PDF file, and make it clear (with headings) where each part of a question starts. Your report should be single-spaced.

Submit a single PDF file. The code you used to produce the results should be in the report. i.e. everything should be pasted into one document, do not submit code as separate files.

The purpose of the coursework is to enable you to gain hands-on programming skills for using evolutionary algorithms to solve optimisation and learning problems.

Some tips will be posted in Surrey Learn (under Course Materials,Coursework 2) to help with difficult parts of code.

**Please explain in detail how your results are obtained!**

1.The main objective of this task is to train feed-forward multi-layer perceptron networks with two hidden layers to approximate the following function:

Implement the algorithm in a computer language of your choice,although you are strongly recommended to use the Python libraries used in class.

1.1 Visualise the function with a 3D surface plot, in the given range. Use of Num Py for numbers is recommended.

**COM3013 Coursework 2 Computational Intelligence – UK.**

1.2 Randomly generate 1100 samples for x1 and x2 within [-1,1].Calculate the corresponding y values for the 1100 samples. Use 1000 of them as the training data set, and the other 100 samples as a test data set. It is recommended to store your data as a tensor (to make it easier to use in the neural net later), e.g.

x = torch.as_tensor(data, d type=torch.double) Visualise the training and test data (two separate plots) in a three-dimensional graphics, e.g. scatter 3 D(x 1, x 2, z, c=z).

1.3 Assume that the neural network has six hidden neurons in each of the hidden layers and the network is fully connected. There is a threshold/bias connection for all hidden nodes and the output node. The activation function used is a sigmoid function in the hidden neurons, and a linear activation function in the output neuron. Write the code that creates the network

1.4 Use the neural network to learn from the training data. The inputs are the x1 and x2 values from the training data, and the outputs are the corresponding y values. Use Rprop. Show a 3D surface plot of the function implemented by the neural network across the range [-1,1]. To do this compute the network’s

output for a grid of values uniformly covering the range. i.e. similar to 1.1 except using network output instead of the mathematical function.

**1.5 Write the following two functions:**

Weights Out of Network: extracts all the weights of the network and puts them in one list; returns this list.

weights Into Network: takes as input a list of all weights of the network and uses them to set the weights of the network

Write a test to check if the weights are retrieved and inserted in the network correctly. Show the following test results in your report: use weights Out of Network to retrieve all weights; print out the first layer of weights (connecting input to hidden) change three of these weights insert all weights back in the network using weights Into Network use weights Out of Network to retrieve all weights again, and print out the first layer to check. Highlight the changed weights,e.g. in bold.

1.6 Use a binary coded genetic algorithm (with Gray coding) for optimising the weights of the neural network to fit the function, by minimising the mean squared error on the training data set. Your evaluation function should extract weights from the chromosome and insert all weights in the network using weights Into Network, the loss of the network on the training data should then be used as the fitness of the individual.Use 30 bits for encoding each weight and limit weights to the range [-20,20]. It will help to initialise your individuals to a smaller range (e.g. [-1,1]).

Experiment with hyper parameters to get a good result. Show your complete code, with hyper parameters clearly named at the top. Give a brief justification for your choice of hyper parameters.

Show a plot of the training and test error across the generations.

1.7 Show a 3D surface plot of the function implemented by the neural network across the range [-1,1]. To do this compute the network’s output for a grid of values uniformly covering the range. i.e. similar to 1.1 except using network output instead of the mathematical function.

1.8 Write a function which takes a list of weights (output from weights Out of Network) and returns a chromosome (i.e. a long list of binary bits, in Gray coding).The function should check if weights need to be pushed back into the range [-20,20]. Write a test to test your function: test if weights can be put into a chromosome, and retrieved, and turned back into weights. Show the results of your test for a small number of weights. Note that numbers retrieved will not be exactly the same as those input because of a loss of accuracy in conversion.

1.9 Embed the Rprop learning in the genetic algorithm as a local search method (lifetime learning). Use the Lamarckian learning approach, i.e., the weight changes in the lifetime learning are encoded back to the geno type. Implement 30 iterations of local search in each generation. Implement the above memetic

algorithm by extending the code above. Explain hyper parameter choices. Show a plot of the training and test error across the generations, and also a 3D surface plot of the function implemented by the neural network across the range [-1,1].

**COM3013 Coursework 2 Computational Intelligence – UK.**

1.10 Implement the Baldwinian learning approach to replace the Lamarckian approach in Question 1.8 and plot the results. Show a plot of the training and test error across the generations,and also a 3 D surface plot of the function implemented by the neural network across the range [-1,1].Analyse

the difference in the results compared to those obtained in Question 1.8 and discuss possible reasons

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