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Machine Learning Assignment 1 Solution

The material you hand in should be legible (either typed or neatly hand-written), well organized and easy to mark, including the use of good English. In general, short, simple

answers are worth more than long, complicated ones. Unless stated otherwise, all answers should be justi_ed. All computer problems are to be done in Python with the NumPy, SciPy and scikit-learn libraries. Your programs should be properly commented and easy to understand. Hand in all the programs you are asked to write. They should be stored in a single _le called source.py. We should be able to import this _le as a Python module and execute your programs. For generating plots, you may _nd the SciPy functions plot and figure in matplotlib.pyplot useful, as well as the function numpy.linspace. Note that if A and B are two-dimensional numpy arrays, then A*B performs element-wise multiplication, not matrix multiplication. To perform matrix multiplication, you can use numpy.matmul(A,B). Also, whenever possible, do not use loops, which are very slow in Python. Instead, use Numpy's vector and matrix operations, which are much faster and can be executed in parallel. If you haven't already done so, please read the NumPy tutorial on the course web page.

You should hand in four _les: the source code of all your Python programs, a pdf _le of all the requested program output, answers to all the non-programming questions (scanned handwriting is _ne), and a scanned, signed copy of the cover sheet at the end of the assignment.

Be sure to indicate clearly which question(s) each program and piece of output refers to.

The four _les should be submitted electronically as described on the course web page. In addition, if we run your source _le, it should not produce any errors, it should produce all the output that you hand in (_gures and print outs), and it should be clear which question each piece of output refers to.

I don't know policy: If you do not know the answer to a question (or part), and you

write \I don't know", you will receive 20% of the marks of that question (or part). If you

just leave a question blank with no such statement, you get 0 marks for that question.

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