Associative memory on a small-world neural network
arXiv:nlin/0310033 · doi:10.1140/epjb/e2004-00144-7
Abstract
We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the attractors for all values of the disorder of the network.
5 pages, 4 figures (eps)
References in corpus (11)
- Emergence of scaling in random networks
- Dynamics of rumor propagation on small-world networks
- Small world effect in an epidemiological model
- Rock-scissors-paper game on regular small-world networks
- Ising model in small-world networks
- Nonequilibrium Phase Transitions in Directed Small-World Networks
- XY model in small-world networks
- Topology and Computational Performance of Attractor Neural Networks
- Finite Connectivity Attractor Neural Networks
- Introducing Small-World Network Effect to Critical Dynamics
- Non-monotonic dependence on disorder in biased diffusion on small-world networks
Cited by in corpus (11)
- An associative network with spatially organized connectivity
- Concurrence of form and function in developing networks and its role in synaptic pruning
- Localized activity profiles and storage capacity of rate-based autoassociative networks
- Modular organization enhances the robustness of attractor network dynamics
- Slow relaxation in the Ising model on a small-world network with strong long-range interactions
- Topology and Dynamics of Attractor Neural Networks: The Role of Loopiness
- Autoassociative Memory Retrieval and Spontaneous Activity Bumps in Small-World Networks of Integrate-and-Fire Neurons
- Transient dynamics for sequence processing neural networks: effect of degree distributions
- Dynamics of neural fields with exponential temporal kernel
- Optimising the topology of complex neural networks
- Elastic properties of small-world spring networks