no code implementations • 27 May 2024 • Zachary Chase, Bogdan Chornomaz, Steve Hanneke, Shay Moran, Amir Yehudayoff
In particular, we prove that for every $d$ there is a class with VC dimension $d$ that cannot be embedded in any extremal class of VC dimension smaller than exponential in $d$.
no code implementations • 2 Nov 2023 • Zachary Chase, Bogdan Chornomaz, Shay Moran, Amir Yehudayoff
To offer a broader and more comprehensive view of our topological approach, we prove a local variant of the Borsuk-Ulam theorem in topology and a result in combinatorics concerning Kneser colorings.
