@article {IOPORT.00759415, author = {Anthony, Martin and Holden, Sean B.}, title = {Quantifying generalization in linearly weighted neural networks.}, year = {1994}, journal = {Complex Systems}, volume = {8}, number = {2}, issn = {0891-2513}, pages = {91-114}, publisher = {Complex Systems Publications, Inc., Champaign, IL}, abstract = {Summary: The Vapnik-Chervonenkis dimension has proven to be of great use in the theoretical study of generalization in artificial neural networks. The ``probably approximately correct'' learning framework is described and the importance of the Vapnik-Chervonenkis dimension is illustrated. We then investigate the Vapnik-Chervonenkis dimension of certain types of linearly weighted neural networks. First, we obtain bounds on the Vapnik- Chervonenkis dimensions of radial basis function networks with basis functions of several types. Secondly, we calculate the Vapnik- Chervonenkis dimension of polynomial discriminant functions defined over both real and binary-valued inputs.}, identifier = {00759415}, }