TY - GEN
T1 - The rectified gaussian distribution
AU - Socci, N. D.
AU - Lee, D. D.
AU - Seung, Hyunjune Sebastian
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84862911217&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84862911217&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84862911217
SN - 0262100762
SN - 9780262100762
T3 - Advances in Neural Information Processing Systems
SP - 350
EP - 356
BT - Advances in Neural Information Processing Systems 10 - Proceedings of the 1997 Conference, NIPS 1997
PB - Neural information processing systems foundation
T2 - 11th Annual Conference on Neural Information Processing Systems, NIPS 1997
Y2 - 1 December 1997 through 6 December 1997
ER -