Machine learning: Homework

Homework assignments #

Below are the homework assignments for each week. Problem numbers refer to the appropriate sections of this website.

Week 1: Due Wednesday, February 1 at 9am
Problems from §I.1.3
Problems from §I.1.4
Week 2: Due Wednesday, February 8 at 9am
Problems from §I.1.5
Problems from §I.1.7
Problems from §I.1.8
Problems from §I.1.9
Problems from §I.1.11
Week 3: Due Wednesday, February 15 at 9am
Problems from §I.2.2
Problems from §I.2.4
Problems from §I.2.5
Problems from §I.2.7
Week 4: Due Wednesday, February 22 at 9am
Problems from §I.2.8
Problems from §I.2.9
Problems from §I.2.10
Problems from §I.3.5
Problems from §I.3.1
Week 5: Due Wednesday, March 1 at 9am
Problems from §I.3.2
Problems from §I.3.3
Problems from §I.3.4
Problems from §I.3.6
Problems from §I.3.8
Week 6: Due Saturday, March 11 at 12pm
Problems from §I.3.7
Problems from §I.3.9
Problems from §II.1.2
Week 7: Due Wednesday, March 29 at 9am
Problems from §II.1.6
Problems from §II.1.7
Problems from §II.2.2
Week 8: Due Wednesday, April 5 at 9am
Problems from §II.1.3
Problems from §II.1.4
Problems from §II.2.1
Week 9: Due Friday, April 15 at 5pm
Problems from §III.1.3

You should watch the following short videos on the singular value decomposition; take notes and be an active participant as you do. Pause, and try to answer questions as they arise.

Use the technique developed in the lectures to compute the SVD for the following matrices:

\[ \begin{pmatrix} 3 & 0\\ 0 & -2 \end{pmatrix} \;\;\; \begin{pmatrix} 2 & 0\\ 0 & 3 \end{pmatrix} \;\;\; \begin{pmatrix} 1 & 1\\ 0 & 0 \end{pmatrix} \;\;\; \begin{pmatrix} 1 & 1\\ 1 & 1 \end{pmatrix} \]



Week 10: Due Wednesday, April 19 at 9am
Problems from §II.3.1
Problems from §II.3.2
Problems from §II.3.3
Week 11: Due Wednesday, April 26 at 9am
Problems from §III.1.2
Week 12: Due Wednesday, May 3 at 9am
Problems from §III.3.1
Problems from §III.3.4
Week 13: Due Wednesday, May 10 at 9am
Problems from §III.3.2
Problems from §III.3.7