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 Thursday, September 12 at 9am
Problems from §I.1.3
Problems from §I.1.4
Week 2: Due Thursday, September 19 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 Monday, September 30 at 9pm
Problems from §I.2.2
Problems from §I.2.4
Problems from §I.2.5
Problems from §I.2.7
Week 4: Due Thursday, October 3 at 9am
Problems from §I.2.9
Problems from §I.2.10
Week 5: Due Thursday, October 10 at 9am
Problems from §I.2.8
Problems from §I.3.5
Week 6: Due Thursday, October 17 at 9am
Problems from §I.3.1
Problems from §I.3.2
Problems from §I.3.3
Problems from §I.3.4
Problems from §I.3.6
Week 7: Due Thursday, October 24 at 9am
Problems from §I.3.8
Problems from §I.3.7
Problems from §I.3.9
Problems from §II.1.2
Week 8: Due Friday, November 1 at 5pm
Problems from §II.1.6
Problems from §II.1.7
Problems from §II.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 9: Due Thursday, November 8 at 9am
Problems from §II.1.4
Problems from §II.2.2
Problems from §II.2.1
Problems from §III.1.3
Week 10: Due Thursday, November 15 at 9am
Problems from §II.2.4
Problems from §II.3.2
Week 11: Due Thursday, November 22 at 9am
Problems from §II.1.8
Problems from §II.3.3
Problems from §II.3.1
Problems from §III.1.2