Yoav Medan, Eyal Yair, et al.
IEEE TSP
We show that the VC-dimension of a smoothly parameterized function class is not less than the dimension of any manifold in the parameter space, as long as distinct parameter values induce distinct decision boundaries. A similar theorem was published recently and used to introduce lower bounds on VC-dimension for several cases (Lee, Bartlett, & Williamson, 1995). This theorem is not correct, but our theorem could replace it for those cases and many other practical ones.
Yoav Medan, Eyal Yair, et al.
IEEE TSP
Dan Chazan, Y. Medan, et al.
IEEE Transactions on Acoustics, Speech, and Signal Processing
Joseph Keshet, Shai Shalev-Shwartz, et al.
INTERSPEECH - Eurospeech 2005
Orly Stettiner, Dan Chazan
ICPR 1994