序列处理神经网络的瞬态动力学:度分布的影响
Transient dynamics for sequence processing neural networks: effect of degree distributions
摘要:
我们推导出一个解析演化方程的重叠参数,包括度分布的影响,序列处理神经网络的瞬态动力学。在全局耦合网络的特殊情况下,精确检索的临界负载比$α_c = N ^{-1/2}$,其中$N$是网络的大小。在随机网络的存在下,我们的理论预测同意定量与三角洲,二项式,幂律度分布的数值实验。
英文摘要:
We derive a analytic evolution equation for overlap parameters including the effect of degree distribution on the transient dynamics of sequence processing neural networks. In the special case of globally coupled networks, the precisely retrieved critical loading ratio $α_c = N ^{-1/2}$ is obtained, where $N$ is the network size. In the presence of random networks, our theoretical predictions agree quantitatively with the numerical experiments for delta, binomial, and power-law degree distributions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。