3.20 VC-dimension of sine functions. Consider the hypothesis family of sine functions (Example 3.16): fx ! sin(!x)

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3.20 VC-dimension of sine functions. Consider the hypothesis family of sine functions

(Example 3.16): fx ! sin(!x) : ! 2 Rg .

(a) Show that for any x 2 R the points x; 2x; 3x and 4x cannot be shattered by this family of sine functions.

(b) Show that the VC-dimension of the family of sine functions is innite. (Hint:

show that f2????i : i mg can be shattered for any m > 0.)

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Foundations Of Machine Learning

ISBN: 9780262351362

2nd Edition

Authors: Mehryar Mohri, Afshin Rostamizadeh

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Question Posted: Oct 12, 2024 10:00 AM

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3.20 VC-dimension of sine functions. Consider the hypothesis family of sine functions (Example 3.16): fx ! sin(!x)

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Foundations Of Machine Learning

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