Classification and Lumpability in the Stochastic Hopfield Model
Connections between classification and lumpability in the stochastic Hopfield model (SHM) are explored and developed. A simplification of the SHM's complexity based upon its inherent lumpability is derived. Contributions resulting from this reduction in complexity include: (i) computationally feasible classification time computations (ii) a development of techniques for enumerating the stationary distribution of the SHM's energy function and (iii) a characterization of the set of possible absorbing states of the Markov chain associated with the zero temperature SHM.
R. Paige, "Classification and Lumpability in the Stochastic Hopfield Model," Advances in Applied Probability, Applied Probability Trust, Jan 2001.
The definitive version is available at https://doi.org/10.1239/aap/1011994037
Mathematics and Statistics
Keywords and Phrases
Classification times; neural networks
International Standard Serial Number (ISSN)
Article - Journal
© 2001 Applied Probability Trust, All rights reserved.
01 Jan 2001