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The VC-Dimension of Axis-Parallel Boxes on the Torus

04/28/2020

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by Pierre Gillibert, et al.

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We show in this paper that the VC-dimension of the family of d-dimensional axis-parallel boxes and cubes on the d-dimensional torus are both asymptotically d log_2(d). This is especially surprising as the VC-dimension usually grows linearly with d in similar settings.

Pierre Gillibert
3 publications
Thomas Lachmann
2 publications
Clemens Müllner
2 publications

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