Question: True or False? If False, then explain shortly. [10 points] (a) The inequality G(F,n) holds for any model class F . (b) The VC dimension

True or False? If False, then explain shortly.\ [10 points]\ (a) The inequality

G(F,n)

holds for any model class

F

.\ (b) The VC dimension of an axis-aligned rectangle in a

2D

space is 4.\ (c) The VC dimension of a circle in a

2D

space is 4.\ (d) The VC dimension of 1-nearest neighbor classifier in

d

-dimensional space is

d+1

.\ (e) Let

d

be the VC dimension of

F

. Then the inequality

G(F,n)

always holds.

 True or False? If False, then explain shortly.\ [10 points]\ (a)

8. True or False? If False, then explain shortly. (a) The inequality G(F,n)n2 holds for any model class F. (b) The VC dimension of an axis-aligned rectangle in a 2D space is 4. (c) The VC dimension of a circle in a 2D space is 4. (d) The VC dimension of 1-nearest neighbor classifier in d-dimensional space is d+1. (e) Let d be the VC dimension of F. Then the inequality G(F,n)(den)d always holds

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