ENGR421 Homework 03- Naïve Bayes’ Classifier Solution

In this homework, you will implement a naïve Bayes’ classifier in Matlab, Python, or R. Here are the steps you need to follow:
1. Read Section 5.7 from the textbook.

2. You are given a multivariate classification data set, which contains 195 handwritten letters of size 20 pixels × 16 pixels (i.e., 320 pixels). These images are from five distinct classes, namely, A, B, C, D, and E, where we have 39 data points from each class. The figure below shows five sample figures from each class. You are given two data files:
a. hw03_data_set_images.csv: letter images,
b. hw03_data_set_labels.csv: corresponding class labels.



3. Divide the data set into two parts by assigning the first 25 images from each class to the training set and the remaining 14 images to the test set.

> print(pcd[,1])
[1] 0.00 0.00 0.00 0.04 0.04 0.04 0.16 0.20 ...
> print(pcd[,2])
[1] 0.04 0.24 0.24 0.20 0.12 0.08 0.12 0.16 ...
> print(pcd[,3])
[1] 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.24 ...
> print(pcd[,4])
[1] 0.12 0.44 0.40 0.16 0.12 0.08 0.08 0.08 ...
> print(pcd[,5])
[1] 0.00 0.12 0.12 0.08 0.12 0.16 0.12 0.04 ...

5. Draw your 𝒑#!, 𝒑#", 𝒑##, 𝒑#$ and 𝒑#% parameter estimations as images.




6. Calculate the confusion matrix for the data points in your training set using the parametric discrimination rule you will develop using the estimated parameters. Your confusion matrix should be similar to the following matrix.

y_train y_predicted 1 2 3 4 5 1 25 0 0 0 0
2 0 24 1 0 1
3 0 0 24 0 0
4 0 1 0 25 0
5 0 0 0 0 24

7. Calculate the confusion matrix for the data points in your test set using the parametric discrimination rule you will develop using the estimated parameters. Your confusion matrix should be similar to the following matrix.

y_test y_predicted 1 2 3 4 5 1 7 0 0 0 0
2 0 11 3 2 4
3 0 0 7 0 0
4 7 3 3 12 0
5 0 0 1 0 10
What to submit: You need to submit your source code in a single file (.m file if you are using Matlab, .py file if you are using Python, or .R file if you are using R) and a short report explaining your approach (.doc, .docx, or .pdf file). You will put these two files in a single zip file named as STUDENTID.zip, where STUDENTID should be replaced with your 7-digit student number.
How to submit: Submit the zip file you created to Blackboard. Please follow the exact style mentioned and do not send a zip file named as STUDENTID.zip. Submissions that do not follow these guidelines will not be graded.
Cheating policy: Very similar submissions will not be graded.