LFD Book Forum Question on union bound
 User Name Remember Me? Password
 FAQ Calendar Mark Forums Read

 Thread Tools Display Modes
#1
07-31-2012, 11:36 PM
 raghu Junior Member Join Date: Jul 2012 Posts: 6
Question on union bound

I did not grasp the reasoning behind the union bound for Hoffding's inequality.
If we have a bound for the error for a single hypothesis and we are able to calculate this, shouldnt this be the bound for any hypothesis?
#2
08-01-2012, 12:17 AM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: Question on union bound

Quote:
 Originally Posted by raghu I did not grasp the reasoning behind the union bound for Hoffding's inequality. If we have a bound for the error for a single hypothesis and we are able to calculate this, shouldnt this be the bound for any hypothesis?
Yes, for any one hypothesis, but not necessarily of a bunch of them simultaneously. The probability that any particular person will suffer a car accident on a given day is very small, but the probability that someone will suffer a car accident on that day is close to 100%. The bulk of Lecture 2 addresses this issue, so perhaps you can watch that part again (with the coins analogy).
__________________
Where everyone thinks alike, no one thinks very much
#3
08-01-2012, 12:15 PM
 raghu Junior Member Join Date: Jul 2012 Posts: 6
Re: Question on union bound

Thanks. I understood it now.

 Tags hoffding, union bound

 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 02:54 AM.

 Contact Us - LFD Book - Top

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. 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.