learning-from-data

learning-from-data copied to clipboard

Programming assignments for Cal Tech's Machine Learning class by Professor Yaser Abu-Mostafa. My notes for this class are available on my site.

The assignments are done in Python with NumPy and other SciPy packages.

Automated Grading

I created a Question class in common.question that can help grade the assignment. It takes a label (the question itself), a list of possible choices from the assignment, the actual answer (from the answer key) and an optional scoring function for each choice. Its constructor is:

Question(label, choices, answer, score=None)

For example, for question 8 in assignment 2 asks for the in-sample error and can be specified as:

question8 = Question("8. in sample error",
                     [0, 0.1, 0.3, 0.5, 0.8], 'd')

in_sample_error = experiment()
question8.check(in_sample_error)

The output for this is:

8. in sample error
  result:  0.506176
  nearest: d. 0.5
  answer:  d. 0.5
  + CORRECT

The Question class scores every choice in the list based on its distance to the result the experiment yielded. The optional score function can be provided to score more sophisticated answers, for example question 9 in assignment 2 asks for the hypothesis that is closest to the one that the experiment returned. This can be expressed as:

question9 = Question("9. hypothesis",
                     [[-1, -0.5, 0.08, 0.13, 1.50, 1.50],
                      [-1, -0.5, 0.08, 0.13, 1.50, 15.0],
                      [-1, -0.5, 0.08, 0.13, 15.0, 1.50],
                      [-1, -1.5, 0.08, 0.13, 0.05, 0.05],
                      [-1, -0.5, 0.08, 1.50, 0.15, 0.15]], 'a',
                     # polynomial scoring lambda
                     lambda result, choice:
                     sum([abs(result_coeff - coeff)
                         for result_coeff, coeff
                         in zip(result, choice)]))

This has the intended result:

9. hypothesis
  result:  [-0.90466334 -0.00694238  0.01946925  0.01881652  1.45797108  1.43164961]
  nearest: a. [-1, -0.5, 0.08, 0.13, 1.5, 1.5]
  answer:  a. [-1, -0.5, 0.08, 0.13, 1.5, 1.5]
  + CORRECT