Issue |
Europhys. Lett.
Volume 44, Number 2, October II 1998
|
|
---|---|---|
Page(s) | 261 - 267 | |
Section | Cross-disciplinary physics and related areas of science andtechnology | |
DOI | https://doi.org/10.1209/epl/i1998-00466-6 | |
Published online | 01 September 2002 |
Phase transitions in soft-committee machines
Institut für Theoretische Physik, Julius-Maximilians-Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
Received:
15
May
1998
Accepted:
31
August
1998
Equilibrium statistical physics is applied to the off-line training of layered neural networks with differentiable activation functions. A first analysis of soft-committee machines with an arbitrary number (K) of hidden units and continuous weights learning a perfectly matching rule is performed. Our results are exact in the limit of high training temperatures . For K=2 we find a second-order phase transition from unspecialized to specialized student configurations at a critical size P of the training set, whereas for the transition is first order. The limit can be performed analytically, the transition occurs after presenting on the order of examples. However, an unspecialized metastable state persists up to .
PACS: 87.10.+e – General, theoretical, and mathematical biophysics (including logic of biosystems, quantum biology, and relevant aspects of thermodynamics, information theory, cybernetics, and bionics) / 07.05.Mh – Neural networks, fuzzy logic, artificial intelligence / 05.90.+m – Other topics in statistical physics and themodynamics
© EDP Sciences, 1998
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.