Problem 2.14(c)
For Problem 2.14(c), to determine the min value, the way I think would be try to solve the equation in (b) and get L. Maybe L is the second part of the min. However, how to solve the equation is a really hard question. Thus, could anyone tell me how to solve the equation or give me a hint on how to get the right answer?

Re: Problem 2.14(c)
Quote:
(e.g. when , then and ). I believe the right thing to do would be to assume that because the min bound will still hold and I believe the condition in (b) is then satisfied? But how do I prove that? I appreciate any help. 
Re: Problem 2.14(c)
There is a typo in the equation, sorry.
The second term in the minimum should be . Rather than solve the inequality in (b) to get this bound, you may rather just verify that this is a bound by showing that if , then the inequality in (b) is satisfied, namely . Quote:

Re: Problem 2.14(c)
Thank you for your reply!

Re: Problem 2.14(c)
Quote:

Re: Problem 2.14(c)

Re: Problem 2.14(c)

Re: Problem 2.14(c)
I'm pretty stuck on this one  any hints?

Re: Problem 2.14(c)
Hi, I'm also stuck on this one. I don't know if I'm missing an algebraic argument (in verifying that 2^l > 2Kl^d) or if I'm missing something more important. Any hint would be appreciated.

Re: Problem 2.14(c)
I´ve been struggling with this problem too. Essentialiy we have to prove that the second expression in the min expression
. is a valid as explains magdon in Quote:
(1) must be satisfied. I have been finding upper bounds to the right hand side of (1), using the following tricks if (the case must be proved apart). , , because (this is not the seven in the exponent) and . Then we arrive at an expression that can be compared easily with the left hand side of (1) proving that this inequality is valid. 
Re: Problem 2.14(c)
Quote:

All times are GMT 7. The time now is 05:04 AM. 
Powered by vBulletin® Version 3.8.3
Copyright ©2000  2020, Jelsoft Enterprises Ltd.
The contents of this forum are to be used ONLY by readers of the Learning From Data book by Yaser S. AbuMostafa, Malik MagdonIsmail, and HsuanTien Lin, and participants in the Learning From Data MOOC by Yaser S. AbuMostafa. No part of these contents is to be communicated or made accessible to ANY other person or entity.