The rectified gaussian distribution

N. D. Socci, D. D. Lee, Hyunjune Sebastian Seung

Research output: Chapter in Book/Report/Conference proceedingConference contribution

92 Scopus citations

Abstract

A simple but powerful modification of the standard Gaussian distribution is studied. The variables of the rectified Gaussian are constrained to be nonnegative, enabling the use of nonconvex energy functions. Two multimodal examples, the competitive and cooperative distributions, illustrate the representational power of the rectified Gaussian. Since the cooperative distribution can represent the translations of a pattern, it demonstrates the potential of the rectified Gaussian for modeling pattern manifolds.

Original languageEnglish (US)
Title of host publicationAdvances in Neural Information Processing Systems 10 - Proceedings of the 1997 Conference, NIPS 1997
PublisherNeural information processing systems foundation
Pages350-356
Number of pages7
ISBN (Print)0262100762, 9780262100762
StatePublished - Jan 1 1998
Event11th Annual Conference on Neural Information Processing Systems, NIPS 1997 - Denver, CO, United States
Duration: Dec 1 1997Dec 6 1997

Publication series

NameAdvances in Neural Information Processing Systems
ISSN (Print)1049-5258

Other

Other11th Annual Conference on Neural Information Processing Systems, NIPS 1997
CountryUnited States
CityDenver, CO
Period12/1/9712/6/97

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Information Systems
  • Signal Processing

Fingerprint Dive into the research topics of 'The rectified gaussian distribution'. Together they form a unique fingerprint.

  • Cite this

    Socci, N. D., Lee, D. D., & Seung, H. S. (1998). The rectified gaussian distribution. In Advances in Neural Information Processing Systems 10 - Proceedings of the 1997 Conference, NIPS 1997 (pp. 350-356). (Advances in Neural Information Processing Systems). Neural information processing systems foundation.