1. Background for Machine Learning (I) Usman Roshan

2. Linear algebra Vector: – ordered collection of numbers – point in some Euclidean space Examples: – x : (1, 2) – y : (3, 5) – z : (4, 1)

3. Linear algebra x : (1, 2), y : (3, 5), z : (4, 1) y – x = (3-1,5-2)=(2,3) x – z = (1-4,2-1)=(-3,1)

4. Linear algebra x : (1, 2), y : (3, 5), z : (4, 1) Length of vector in Euclidean space Length of x =

5. Linear algebra

6. Linear algebra θ

7. Linear algebra θ

8. Linear algebra

9. Probability Read Appendix of textbook Introduction to Machine by Ethem Alpaydin – Bayes theorem – Independence – Mean – Variance – Distributions Bernoulli Binomial Normal (Gaussian)