LFD Book Forum

LFD Book Forum (http://book.caltech.edu/bookforum/index.php)
-   Create New Homework Problems (http://book.caltech.edu/bookforum/forumdisplay.php?f=139)
-   -   Multiple perceptron hypotheses (http://book.caltech.edu/bookforum/showthread.php?t=4236)

Elroch 04-23-2013 10:08 AM

Multiple perceptron hypotheses
Consider the hypothesis set defined by the combination of m perceptrons on an n-dimensional space using the AND operator be denoted H(n,m). i.e. a hypothesis in H(n,m) is defined by m chosen perceptron hypotheses in n-dimensional space all being true.

For example the interior of any tetrahedron in 3-dimensional space is a member of H(3,4), and the set of points (x_1, x_2) such that x_1>2 and x_2>3 is a member of H(2,2)

Let d(n, m) be the VC-dimension of H(n,m)

Which of the following statements is true?
(a) d(8,1) > d(4,2) > d(2,4)
(b) d(8,1) > d(4,2) = d(2,4)
(c) d(8,1) = d(4,2) > d(2,4)
(d) d(8,1) = d(4,2) = d(2,4)
(e) None of the above

All times are GMT -7. The time now is 10:59 AM.

Powered by vBulletin® Version 3.8.3
Copyright ©2000 - 2021, 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.