LFD Book Forum Probability bounds lower than other bounds
 User Name Remember Me? Password
 FAQ Calendar Mark Forums Read

 Thread Tools Display Modes
#1
02-02-2013, 09:07 PM
 Anne Paulson Senior Member Join Date: Jan 2013 Location: Silicon Valley Posts: 52
Probability bounds lower than other bounds

Let's say, hypothetically, that we have two probability bound formulae. Let's say we evaluate them for some arguments, and we find that formula A yields 2, and formula B yields 3. We are asked which bound is smaller. Do we say, formula A's bound is smaller, because our ace arithmetic skills allow us to compare two numbers and say which is smaller? Or do we say, they are equal, because neither 2 nor 3 is a probability, so neither of them bounds the probability of the event in any way?
#2
02-02-2013, 09:55 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: Probability bounds lower than other bounds

Quote:
 Originally Posted by Anne Paulson Let's say, hypothetically, that we have two probability bound formulae. Let's say we evaluate them for some arguments, and we find that formula A yields 2, and formula B yields 3. We are asked which bound is smaller. Do we say, formula A's bound is smaller, because our ace arithmetic skills allow us to compare two numbers and say which is smaller? Or do we say, they are equal, because neither 2 nor 3 is a probability, so neither of them bounds the probability of the event in any way?
Of course one can argue both ways, but the first (2 is better than 3) would be the correct formal answer since as a bound, 2 is closer to the actual value than 3. The fact that there is another bound which is better than both, in this case an obvious bound, does not really concern the question being asked
__________________
Where everyone thinks alike, no one thinks very much

 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 11:53 PM.

 Contact Us - LFD Book - Top