LFD Book Forum Exercise 2.2 (b)
 User Name Remember Me? Password
 Register FAQ Calendar Mark Forums Read

 Thread Tools Display Modes
#1
09-25-2017, 12:37 PM
 mauriciogruppi Junior Member Join Date: Sep 2017 Posts: 2
Exercise 2.2 (b)

The question is asking if there is a hypothesis set for which m_H(N) = N + 2^floor(N/2).

Theorem 2.4 states that m_H(N) <= sum{0 to k-1} (N choose i) if k is a breakpoint.

My understanding is that m_H(N) = 2^k or it is bounded by a polynomial.

However, the given growth function m_H(N) = N + 2^floor(N/2) seems exponential because of 2^(N/2). Therefore my answer is NO, it does not make sense to look for such hypothesis set.

Can someone clarify if this is correct?

Edit: Indeed, it is possible to show that m_H(N) is not bounded by a polynomial.
#2
09-27-2017, 06:29 AM
 htlin NTU Join Date: Aug 2009 Location: Taipei, Taiwan Posts: 601
Re: Exercise 2.2 (b)

Your understanding seems very reasonable!
__________________
When one teaches, two learn.
#3
01-27-2018, 10:08 AM
 chemistry21 Junior Member Join Date: Jan 2018 Posts: 1
Re: Exercise 2.2 (b)

I thinke your undrestanding is correct.
------------------------------
my weblog: سئو وب سایت
#4
02-13-2018, 09:02 PM
 subbupd Member Join Date: Aug 2017 Location: Singapore Posts: 14
Re: Exercise 2.2 (b)

m_H(N) = 2^k - This is perfect

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home General     General Discussion of Machine Learning     Free Additional Material         Dynamic e-Chapters         Dynamic e-Appendices Course Discussions     Online LFD course         General comments on the course         Homework 1         Homework 2         Homework 3         Homework 4         Homework 5         Homework 6         Homework 7         Homework 8         The Final         Create New Homework Problems Book Feedback - Learning From Data     General comments on the book     Chapter 1 - The Learning Problem     Chapter 2 - Training versus Testing     Chapter 3 - The Linear Model     Chapter 4 - Overfitting     Chapter 5 - Three Learning Principles     e-Chapter 6 - Similarity Based Methods     e-Chapter 7 - Neural Networks     e-Chapter 8 - Support Vector Machines     e-Chapter 9 - Learning Aides     Appendix and Notation     e-Appendices

All times are GMT -7. The time now is 11:05 PM.

 Contact Us - LFD Book - Top