Statistical neurodynamics of associative memory
β Scribed by Shun-Ichi Amari; Kenjiro Maginu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 854 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0893-6080
No coin nor oath required. For personal study only.
β¦ Synopsis
A new statistical neurodynamical method is proposed Jor ana(vzing the non-equilibrium dynamical behaviors of an autocorrelation associative memor), model. The theory explains strange dynamical behaviors in recalling processes which are observed by computer simulations: Starting with an initial state close to a memorized pattern, the state monotonically approaches the memorized one. Starting with an initial state which is not so close to a memorized one, the state once approaches it but then goes awayjkom it. The theory not only gives the relative and absolute capacity of the memory network without using the spin glass analogy, but it explains the non-equilibrium or transient dynamical behaviors oJthe recalling process by taking the hmg-term correlation effects into account. It thus explains the strange behaviors due to strange shapes of the basins Of attractors.
π SIMILAR VOLUMES
A geometrical method is proposed for analyzing the properties of an autocorrelation associative memory model. From the present geometrical viewpoint, the state transition of the model is expressed as dynamics on a sphere. The method shows that there is a critical memory ratio corresponding to the me
## αΊe present a new associative memory model that stores arbitrary bipolar patterns without the problems we can find in other models like BAM or LAM. After identifying those problems we show the new memory topology and we explain its learning and recall stages. Mathematical demonstrations are provi