Dynamics of selective recall in an associative memory model with one-to-many associations
Dynamics of selective recall in an associative memory model with one-to-many associations
复制标题
具有一对多关联的联想记忆模型中选择性回忆的动力学
DOI：
10.1109/72.761729
复制
发表时间：
1999
影响因子：
--
通讯作者：
Y. Hirai
中科院分区：
文献类型：
--
作者：
Masaki Kawamura;M. Okada;Y. Hirai
在一对多关联的场景中分析了联想记忆模型中选择性回忆的动态。一对多关联是我们的记忆系统最重要的特征之一，因为例如同音词可以与多个单词关联，并且每个单词可以有多种含义。当前的模型可以处理一对多关联，由异关联网络和自关联网络组成。在异联想网络中，一对多关联中的联想项目的混合由关键项目回忆。在自关联网络中，通过向异关联网络（模型 1）或自关联网络（模型 2）提供目标项目的种子来检查对关联项目之一的选择性回忆。我们通过仿真研究和理论分析表明，模型 2 的临界相似度对关键向量与关联向量的维数比的变化不敏感，并且对于较大的初始重叠，模型 2 的临界相似度（种子和目标项之间的相关性）比模型 1 更小。另一方面，我们表明模型 1 对于较小的初始重叠具有较小的临界相似度。我们还表明，所提出的模型中存在无法达到的平衡状态。存在一个临界加载率 alphar，其中可达到的平衡状态消失。高于临界负载率 alphar（小于存储容量 alphac）时，所有平衡状态都是稳定的，但无法达到。
The dynamics of selective recall in an associative memory model are analyzed in the scenario of one-to-many association. One-to-many association is one of the most important characteristics of our memory system because a homophone, for example, associates with more than one word and each word can have several meanings. The present model, which can deal with one-to-many association, consists of a heteroassociative network and an autoassociative network. In the heteroassociative network, a mixture of associative items in one-to-many association is recalled by a key item. In the autoassociative network, the selective recall of one of the associative items is examined by providing a seed of a target item either to the heteroassociative network (Model 1) or to the autoassociative network (Model 2). We show by both simulation studies and theoretical analysis that the critical similarity of Model 2 is not sensitive to the change in the dimension ratio of key vectors to associative vectors, and it has smaller critical similarity (correlation between the seed and the target item) than Model 1 for a large initial overlap. On the other hand, we show that Model 1 has smaller critical similarity for a small initial overlap. We also show that unreachable equilibrium states exist in the proposed model. There is a critical loading rate alphar where the reachable equilibrium states are disappeared. Above the critical loading rate alphar, which is smaller than the storage capacity alphac, all equilibrium states are stable, but cannot be reached.