Reference no: EM13847090
Rules
• Use basic Python, numpy and matplotlib modules. Any other modules need my approval.
• Produce a LATEX-generated PDF of your report.
• Ask plenty of questions to ensure you have a good understanding of the project.
• The code (and reports) should look vastly different for different groups. Very similar code will incur a hefty penalty.
• Everyone should participate...no excuses, no exceptions.
Part 1
1. Generate 20 points of
. Store this dataset in a file.
2. Using Fisher's Linear Discriminant Analysis, find the decision boundary.
3. Plot X,Y and the decision boundary. Make sure that you use a good plotting technique so that it is easy to distinguish which datapoint is X and which is Y .
4. Calculate the accuracy of your linear classifier.
Part 2
In this part we will investigate the effects of mean for jointly Gaussian random variables on accuracy.
1. Generate 20 points of 
.
2. Using Fisher's Linear Discriminant Analysis, calculate the decision boundary and plot accuracy vs µ1 ∈ [0, 3] and µ2 ∈ [0, 3]. Note that this is a 3D plot.
Part 3
1. Generate 20 points of 
.
2. Using Fisher's Linear Discriminant Analysis, calculate the decision boundary and plot accuracy vs σ1 ∈ [1, 5] and σ2 ∈ [1, 5]. Note, as in the previous part this is a 3D plot.
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