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Background for Machine Learning (I)

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  1. Background for Machine Learning (I) UsmanRoshan

  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 EthemAlpaydin • Bayes theorem • Independence • Mean • Variance • Distributions • Bernoulli • Binomial • Normal (Gaussian)

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