HW 4 question3
I am confused about question3  are they not all above 1 and therefore essentially equivalent in the range 28. Or did I do the calculation incorrectly?
Mark Weitzman 
Re: HW 4 question3
I agree with the implication of your question  isn't an epsilon greater than 1 essentially meaningless, making them all equivalent in that sense? Nevertheless, I got distinctly different curves for the four choices, strictly ordered, so I answered on that basis, and apparently that was the right perspective. Devroye gave me weird results on both extremes of N; N=2 particularly bizarre, but I may have a bug in it I haven't found yet.

Re: HW 4 question3
Well I thought like you did and calculated similar results, when I realized that all equivalent if all greater than 1 seems like the best result.
Mark Weitzman 
Re: HW 4 question3
I also got values larger than 1 for all of them, and therefore considered them to be equally meaningless for small N...

Re: HW 4 question3
how are the recursive questions (part c and d) to be plotted?

Re: HW 4 question3
I have the same question/remark as silvrous and markweitzman. Since epsilon bounds the absolute difference of two probabilities/probability measures/frequencies (at least that is what I understood from the class and a quick google lookup) a statement of epsilon < 3 (for example) is equivalent to the stamement epsilon <= 1. Since all bounds gave numbers in the ball park 3, I reasoned they are all equivalent to bounds epsilon <= 1, i.e. with this small number of examples we cannot say anything about Eout, at least not with a delta of 0.05 per the question.
I have to admit that I thougth long and hard about the what was the intention of the question: just to test if we can calculate these scary looking formulas, or to test our understanding of learning (in particular understanding that you need a minimum amount of data before you can make strong (delta = 5%) statements about the out of sample). Since the calculation aspect was already tested in q2, I hoped and guessed that q3 was aiming at the other aspect. In the end I therefore went for answer e ("they are all equivalent"), which I thought was the most correct, although there was indeed a chance the question was intended differently. Professor, or any other expert on the subject, am I correct in my assumption about that epsilon < 3 is equivalent to epsilon <= 1? 
Re: HW 4 question3
What I did was to create a vector of the same size of N, but varying from 0 to 1. I don't know if this is the best approach, but it helped me to plot the curves. The problem is I thought I had to chose only one correct answer, so I could not choose c or d, because for me they were both correct for large N.
I don't know if this will work, but here's a link to the figure. https://docs.google.com/open?id=0By0...FRkclhvRnZMd2s 
Re: HW 4 question3
thanks lucifirm, do you mean, you tried different values of \epsilon and then compared the left hand side and right hand side of the equations?
you'r right both c and d are the answers for large value of N. But for small values of N, c is the correct answer according to he key. 
Re: HW 4 question3

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