LFD Book Forum  

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

Reply
 
Thread Tools Display Modes
  #1  
Old 04-26-2013, 12:33 PM
Katie C. Katie C. is offline
Member
 
Join Date: Apr 2013
Posts: 17
Default meaning of union of hypothesis sets

I am trying to understand the union of hypothesis sets. Do we get hypotheses that were not in any of the original hypothesis sets? For example, if we take H1 to be the set of positive intervals on the real line, and H2 to be the set of 2 positive intervals (that we saw in HW3 Q6) on the real line, in the union do we have hypotheses with 3 positive intervals?
Reply With Quote
  #2  
Old 04-26-2013, 12:42 PM
yaser's Avatar
yaser yaser is offline
Caltech
 
Join Date: Aug 2009
Location: Pasadena, California, USA
Posts: 1,477
Default Re: meaning of union of hypothesis sets

Quote:
Originally Posted by Katie C. View Post
I am trying to understand the union of hypothesis sets. Do we get hypotheses that were not in any of the original hypothesis sets? For example, if we take H1 to be the set of positive intervals on the real line, and H2 to be the set of 2 positive intervals (that we saw in HW3 Q6) on the real line, in the union do we have hypotheses with 3 positive intervals?
You get only hypotheses that were in one set or the other, but no added "combinations." It follows the formal definition of a union of sets (hypothesis sets or any other type of sets); the union being the set of all elements that appear in any of those sets (and nothing else).
__________________
Where everyone thinks alike, no one thinks very much
Reply With Quote
  #3  
Old 04-26-2013, 02:48 PM
binchen.bin@gmail.com binchen.bin@gmail.com is offline
Junior Member
 
Join Date: Apr 2013
Posts: 7
Default Re: meaning of union of hypothesis sets

So by definition the union of hypothesis sets does not give rise to any new hypothesis, but the intersection of hypothesis sets may eliminate some hypothesis. Is that right?
Reply With Quote
  #4  
Old 04-26-2013, 03:41 PM
yaser's Avatar
yaser yaser is offline
Caltech
 
Join Date: Aug 2009
Location: Pasadena, California, USA
Posts: 1,477
Default Re: meaning of union of hypothesis sets

Quote:
Originally Posted by binchen.bin@gmail.com View Post
So by definition the union of hypothesis sets does not give rise to any new hypothesis, but the intersection of hypothesis sets may eliminate some hypothesis. Is that right?
Correct.
__________________
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 11:01 PM.


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.