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Old 03-12-2015, 11:26 AM
NewtoML NewtoML is offline
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Question Problem 2.16

Hi,

1. I'm trying to solve Problem 2.16, but somewhat confused by the notation. Does the "c" subscript in "hc" refer to the hypothesis number? If so, can I assume that c is a positive integer c= 0,1,2,3 etc? If not, what is c, and c subscript i? (I couldn't find any subscripts used in this way in the chapters of the book.)

2. I can solve 2.16 by showing that this is equivalent to a perceptron in d dimensions, with d=1, and then using the techniques used in your (excellent) video lecture to show that the VC dimension is exactly d+1. However, is there a simpler way to answer the question?

Thank you!
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Old 03-14-2015, 09:18 AM
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htlin htlin is offline
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Default Re: Problem 2.16

\mathbf{c} is the vector whose components are c_i so each \mathbf{c} vector serves as an index to a hypothesis.

Mimicking the proof for the VC dimension of perceptrons sound like a plausible way of conquering the problem. Hope this helps.
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Old 03-14-2015, 12:31 PM
NewtoML NewtoML is offline
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Default Re: Problem 2.16

It does. Thank you very much for responding!
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