Parallel dynamics of continuous Hopfield model revisited
arXiv:cond-mat/0607436 · doi:10.1143/JPSJ.78.033001
Abstract
We have applied the generating functional analysis (GFA) to the continuous Hopfield model. We have also confirmed that the GFA predictions in some typical cases exhibit good consistency with computer simulation results. When a retarded self-interaction term is omitted, the GFA result becomes identical to that obtained using the statistical neurodynamics as well as the case of the sequential binary Hopfield model.
arXiv comment4 pages, 2 figures
References in corpus (14)
- Statistical mechanics of image restoration and error-correcting codes
- Typical Performance of Gallager-type Error-Correcting Codes
- The statistical mechanics of turbo codes
- Thouless-Anderson-Palmer Approach for Lossy Compression
- Statistical mechanics of lossy data compression using a non-monotonic perceptron
- Transient dynamics for sequence processing neural networks
- One step RSB scheme for the rate distortion function
- The signal-to-noise analysis of the Little-Hopfield model revisited
- Statistical mechanics of lossy compression using multilayer perceptrons
- Statistical Mechanical Approach to Lossy Data Compression:Theory and Practice
- Statistical mechanics of lossy compression for non-monotonic multilayer perceptrons
- Generating functional analysis of CDMA detection dynamics
- Bifurcation analysis in an associative memory model
- Low-dimensional chaos induced by frustration in a non-monotonic system