LFD Book Forum  

Go Back   LFD Book Forum > Course Discussions > Online LFD course > Homework 4

Reply
 
Thread Tools Display Modes
  #1  
Old 11-01-2015, 08:02 PM
sandeeps sandeeps is offline
Junior Member
 
Join Date: Sep 2015
Posts: 5
Default Lecture 7: Shattering for d+2 points

In the argument,
d_{VC} <= d + 1
After we arrive at the result that
w^T x_j > 0
but also state that
y_j = -1
it is concluded that H does not shatter the given d+2 points. (I understood this).

However you then stated:
"You cannot shatter your set for any set you choose. Therefore you cannot shatter any set of d+2 points"

How did we go from not shattering a given set of d+2 points to not being to shatter any set of d+2 points?
Reply With Quote
  #2  
Old 11-02-2015, 12:33 AM
yaser's Avatar
yaser yaser is offline
Caltech
 
Join Date: Aug 2009
Location: Pasadena, California, USA
Posts: 1,477
Default Re: Lecture 7: Shattering for d+2 points

Quote:
Originally Posted by sandeeps View Post
In the argument,
d_{VC} <= d + 1
After we arrive at the result that
w^T x_j > 0
but also state that
y_j = -1
it is concluded that H does not shatter the given d+2 points. (I understood this).

However you then stated:
"You cannot shatter your set for any set you choose. Therefore you cannot shatter any set of d+2 points"

How did we go from not shattering a given set of d+2 points to not being to shatter any set of d+2 points?
There were no restrictions on the choice of the d+2 points. The argument started by taking any d+2 points then proving that you cannot shatter them by going through the linear-algebra argument.
__________________
Where everyone thinks alike, no one thinks very much
Reply With Quote
Reply

Thread Tools
Display Modes

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 Jump


All times are GMT -7. The time now is 04:39 AM.


Powered by vBulletin® Version 3.8.3
Copyright ©2000 - 2019, Jelsoft Enterprises Ltd.
The contents of this forum are to be used ONLY by readers of the Learning From Data book by Yaser S. Abu-Mostafa, Malik Magdon-Ismail, and Hsuan-Tien Lin, and participants in the Learning From Data MOOC by Yaser S. Abu-Mostafa. No part of these contents is to be communicated or made accessible to ANY other person or entity.