Dan Chazan, Y. Medan, et al.
IEEE Transactions on Acoustics, Speech, and Signal Processing
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.
Dan Chazan, Y. Medan, et al.
IEEE Transactions on Acoustics, Speech, and Signal Processing
Alexander Sorin, Tenkasi Ramabadran, et al.
ICASSP 2004
Tenkasi Ramabadran, Alexander Sorin, et al.
ICASSP 2004
Yoram Stettiner, David Malah, et al.
ICPR 1994