Spring 2022: Int. to Statistical Machine Learning

Problem Set -1

Please read all of the guidelines carefully before submitting the problem set. Each question is 20 points and there are 100 points in total.

Due date: Wednesday, January 26, 11:59 PM. Late submissions will be accepted with a

penalty! (10% reduction per day – no submissions accepted two days after the deadline .)

Guidelines – Before You Start

1) You should complete the problem set on your own. Discussing ideas is fine; but, sharing answers and sharing code will be considered as plagiarism.

2)   You will be using the Python programming language. You need to write your codes in an empty .ipynb file.

3)   Make sure that you provide many comments to describe your code and the variables that you created.

4)   Please use LaTeX or MS Word to submit your written responses (hand-written responses will not be graded).

5)   For some of the coding exercises, you may need to do a little bit of “Googling” or review the documentation.

Deliverables:

1)   The code of the problem set in .ipynb format (one file)

2)   Short answers written with LaTeX or MS Word and exported in .pdf format (one file)

Questions

1)   Write a program using Python that does the following:

-     Takes two matrices of any size as the input

-     Returns their dot product as the output

Note: You cannot use pre-packaged algorithms for matrix operations for this question. You can use numpy or pandas to store your data (not for calculations).

Please do the following:

a.   Please test the following matrix multiplications using your hand-written code and report the result:

b.   Compare the result to the packaged dot product numpy.dot. Are they same?

c.    Please add your codeto your .pdf file and also save it as an .ipynb file