# HW02: Discrimination by Regression Solution

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## Description

In this homework, you will implement a discrimination by regression algorithm for multiclass classification in R, Matlab, or Python. Here are the steps you need to follow:

1. Read Section 10.8 from the textbook.

1. 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:

1. hw02_data_set_images.csv: letter images,

1. hw02_data_set_labels.csv: corresponding class labels.     1. 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.

1. Learn a discrimination by regression algorithm using the sigmoid function for this multiclass classification problem. You can use the following learning parameters. eta <- 0.01

epsilon <- 1e-3

set.seed(521)

1. Draw the objective function values throughout the iterations. Your figure should be similar to the following figure.

Error

80 60

40

20

0

0 200 400 600 800 1000

Iteration

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

 y_predicted y_train 3 4 5 1 2 1 25 0 0 0 0 2 0 25 0 0 0 3 0 0 25 0 0 4 0 0 0 25 0 5 0 0 0 0 25 1. 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_predicted y_test 3 4 5 1 2 1 13 1 0 0 0 2 1 11 0 0 2 3 0 0 14 0 0 4 0 1 0 14 0 5 0 1 0 0 12 What to submit: You need to submit your source code in a single file (.R file if you are using R,

.m file if you are using Matlab, or .py file if you are using Python) 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: E-mail the zip file you created to arahimi14@ku.edu.tr with the subject line Intro2MachineLearningHW02. Please follow the exact style mentioned for the subject line and do not send a zip file named as STUDENTID.zip. Submissions that do not follow these guidelines will not be graded.

Late submission policy: Late submissions will not be graded.

Cheating policy: Very similar submissions will not be graded.

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