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VC dimension of a circle

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2 Answers. The VC dimension is the maximum number of points that can be shattered. {(5,2), (5,4), (5,6)} cannot be shattered by circles, but {(5,2), (5,4), (6,6)} can be shattered by circles, so the VC dimension is at least 3. Proving that it is exactly 3 is harder.2012年9月19日
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### VC Dimension of Circle, a special case - Stack Overflow

2017年7月25日1 個答案
When using VC-dimensions to estimate the capability of a binary classifier, you can find 3 points in R2 that can be shattered, e.g.: But you can not ...
2017年9月26日3 個答案
Is the VC dimension of an origin-centered circle 1 or 2? It seems to me that the VC dimension of an origin centered circle should be 1, because for two ...

(a) What is the VC dimension of the class of circles on the plane? Solution: 3. For any three noncollinear points, we can easily draw a circle that includes ...
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What is the VC-dimension of circles in the plane R2? I.e., examples are points in R2,C = {cp,r : p ∈ R2,r ∈ R} and cp,r = 1 if x is within distance r of p ...
3 頁·141 KB
The maximum number of points h that can be arranged so that f(x) can shatter them. • Example: what's the VC dimension of the (zero-centered) circle, f(x;µ) ...
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Origin-centered circles and spheresOrigin-centered circles and spheres. What is the VC dimension of an origin-centered circle (2D) f(\mathbf{x}) = sign(a ...
2020年6月6日What is the VC dimension of an origin centered circle? How many points can a circle shatter? How do you prove VC dimensions? What is the VC- ...
2009年4月8日VC dimension: cardinality of largest set that can be shattered by a class of subsets. Goal – VC dimension with circles.
2 頁·111 KB