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


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, 10:18 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, 01:31 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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