Page 23, Exercise 1.10 Here is an experiment that illustrates the difference between a single bin and multiple bins. Run a computer simulation for flipping 1,000 fair coins. Flip each coin independently 10 times. Let’s focus on 3 coins as follows: is the first coin flipped; is a coin you choose at random ; is […]

# Month: February 2016

## Learning From Data – A Short Course: Exercise 1.9

Page 19, Exercise 1.9. If , use the Hoeffding Inequality to bound the probability that a sample fo 10 marbles will have and compare the answer to the previous exercise. means any number slightly less than (reference). Hence: If so: We observe that: is true.

## Learning From Data – A Short Course: Exercise 1.8

Page 19, Exercise 1.8. If , what is the probability that a sample of 10 marbles will have ? Here we have N = 10 (a sample of 10 marbles): Hence:

## Learning From Data – A Short Course: Problem 2.5

Page 69, Problem 2.5. Prove by induction that , hence Base cases: Induction step for : We will prove later, for now, we will use its result: : : So follows. Prove by induction: Base case: Induction step for : […]

## [Book Note] Learning From Data – A Short Course

This book should be read along with watching its corresponding online course. However, you should not watch the online course alone. The Bin Model PAGE NOTE Page 19: Reference: Malik Magdon-Ismail. Page 31: y here is a random variable. Reference: Malik Magdon-Ismail, The Elements of Statistical Learning page 28. Page 32: “we will assume the target to be a […]