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Homework 1 Statistics S4240: Data Mining solved

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Problem 1. (20 Points) James 2.8
Problem 2. (20 Points) James 2.9
Problem 3. (20 Points) James 2.10
Problem 4. (40 Points) We are going to load the data from the Yale Faces B data set, which
is in the Files and Resources tab of Courseworks. These are .pgm images, which are viewable either
through R or with a specialized viewer like Gimp. There are 38 subjects (labeled 1 to 39 with
no 14), each photographed in a variety of lighting conditions. The file name denotes the data set,
the subject, and the lighting condition. We will look at three lighting conditions, P00A-005E+10,
P00A-005E-10, and P00A-010E+00, which are closest to straight on lighting. We will use the pixmap
library to manipulate the data. Load this library and make sure that the folder YaleCropped is in
your working directory. You should begin by downloading hw01 q4 partial.R from Courseworks,
which will give you a template. You will then need to fill out key sections of this code; each
of these sections is delineated by the comments #—–START YOUR CODE BLOCK HERE—-# and
#—–END YOUR CODE BLOCK HERE—-#.
a. (6 Points) Load the picture yaleB01 P00A-005E+10.pgm with the command:
face_01 =read.pnm(file = “CroppedYale/yaleB01/yaleB01_P00A-005E+10.pgm”)
You can view the image with the command
plot(face_01)
What class is face 01? What is the size of the original image in pixels?
b. (7 Points) Make face 01 into a matrix with the command:
face_01_matrix=getChannels(face_01)
Using the same steps above, you can load and create a second image matrix face 02 matrix.
You can then concatenate images in the following way:
faces_matrix=pixmapGrey(data=cbind(face_01_matrix,face_02_matrix))
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What is the maximum value that a pixel can take for this type of file? The minimum value?
What colors do those values correspond to?
c. (7 Points) Let’s load in all of the data by looping through the folders and storing the values in
a list. Before we start that, run the following commands:
dir_list_1 = dir(path=”CroppedYale/”,all.files=FALSE)
dir_list_2 = dir(path=”CroppedYale/”,all.files=FALSE,recursive=TRUE)
What is contained in each of these variables? Give the number of elements and some example
elements.
d. (20 Points) Read the data into a list (or set of lists) by looping through the folders. Instantiate
the list before you read in the data. You can do this by concatenating strings (although there
are other methods as well). String concatenation can be done with the following code:
pic_list = c( 05 , 11 , 31 )
view_list = c( ’P00A-005E+10’ , ’P00A-005E-10’ , ’P00A-010E+00’)
i=1
j=3
filename = sprintf(“CroppedYale/%s/%s_%s.pgm”,
dir_list_1[pic_list[i]] , dir_list_1[pic_list[i]] , view_list[j])
This will produce the string filename with the value
“CroppedYale/yaleB05/yaleB05 P00A-010E+00.pgm”. After you have read in the .pgm files
for views P00A-005E+10, P00A-005E-10, and P00A-010E+00, convert each of these to a matrix.
Using the matrices, make an array of the pictures, where each row has one subject and each
column has one view. Use subjects 05, 11, and 32 for the rows, and views P00A-005E+10 in the
left column, P00A-005E-10 in the center, and P00A-010E+00 in the right column. This produces
a 3-by-3 grid of photos. Save the result as a .pdf and include it in your write up.
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