Mathematics, 21.04.2020 18:41 rhahgvnbhgfHhdj200
Compute the VC dimension of the following hypothesis sets. (i) H = {h : R ā {ā1, +1}|h(x) = +1, āx ā [a, [infinity]), a ā R} āŖ {h : R ā {ā1, +1}|h(x) = +1, āx ā (ā[infinity], a], a ā R}. To clarify, the first subset is the positive ray, and the second subset is the negative ray. So the union is the set of all positive rays and negative rays. (ii) H = {h : R ā {ā1, +1}|h(x) = +1, āx ā [a, b], a, b ā R} āŖ {h : R ā {ā1, +1}|h(x) = ā1, āx ā [a, b], a, b ā R}. So this is the union of the positive intervals and the negative intervals. (iii) H = {h : R 2 ā {ā1, +1}|h(x) = +1, āx where kxk2 ā¤ b, b ā R}. Note that this is a concentric circle. (iv) H = {h : R 2 ā {ā1, +1}|h(x) = +1, āx where kx ā ak2 ā¤ b, a ā R 2 , b ā R}.
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Compute the VC dimension of the following hypothesis sets. (i) H = {h : R ā {ā1, +1}|h(x) = +1, āx ā...
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