The Effective Number of Parameters: An Analysis of Generalization and Regularization in Nonlinear Learning Systems

Abstract

We present an analysis of how the generalization performance (expected test set error) relates to the expected training set error for nonlinear learn(cid:173) ing systems, such as multilayer perceptrons and radial basis functions. The principal result is the following relationship (computed to second order) between the expected test set and tlaining set errors:

Cite

Text

Moody. "The Effective Number of Parameters: An Analysis of Generalization and Regularization in Nonlinear Learning Systems." Neural Information Processing Systems, 1991.

Markdown

[Moody. "The Effective Number of Parameters: An Analysis of Generalization and Regularization in Nonlinear Learning Systems." Neural Information Processing Systems, 1991.](https://mlanthology.org/neurips/1991/moody1991neurips-effective/)

BibTeX

@inproceedings{moody1991neurips-effective,
  title     = {{The Effective Number of Parameters: An Analysis of Generalization and Regularization in Nonlinear Learning Systems}},
  author    = {Moody, John E.},
  booktitle = {Neural Information Processing Systems},
  year      = {1991},
  pages     = {847-854},
  url       = {https://mlanthology.org/neurips/1991/moody1991neurips-effective/}
}