arXiv Machine Learning By Hari Sarang Nathan

Limits of Discrete Energy of Families of Increasing Sets

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arXiv:2504. 11302v5 Announce Type: replace-cross Abstract: The Hausdorff dimension of a set can be detected using the Riesz energy.

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arXiv Machine Learning
Jul 14

The VC dimension of partial concept classes via Radon's theorem

arXiv:2607. 10751v1 Announce Type: new Abstract: Following Alon, Hanneke, Holzman, and Moran (FOCS 2021), we define a partial concept class (PCC) as a family of partial functions \(f: V\to\{0,1,\ast\}\); equivalently, its concepts partition the ground set into black ($f^{-1}(1)$), grey ($f^{-1}(\ast)$), and white parts ($f^{-1}(0)$).

By Grigory Ivanov, Attila Jung, M\'arton Nasz\'odi
arXiv Machine Learning
Jun 25

Structured Approximations of Measures

arXiv:2310. 09149v3 Announce Type: replace-cross Abstract: We study the approximation of probability measures in the Wasserstein-$p$ distance by structured classes of approximators, motivated by applications in imaging, machine learning, and physical measurement under sensor constraints.

By Keaton Hamm, Varun Khurana