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存储超度量模式的稀疏编码联想记忆模型中记忆模式与混合态的共存

Coexistence of memory patterns and mixed states in a sparsely encoded associative memory model storing ultrametric patterns.

作者信息

Kimoto Tomoyuki, Okada Masato

机构信息

Oita National College of Technology, 1666 Maki, 870-0152, Oita-shi, Japan.

出版信息

Biol Cybern. 2004 Apr;90(4):229-38. doi: 10.1007/s00422-004-0468-4. Epub 2004 Mar 29.

DOI:10.1007/s00422-004-0468-4
PMID:15085342
Abstract

Analyzing the coexistence of memory patterns and mixed states gives important information for constructing a model for the face responsive neurons of the monkey inferior-temporal cortex. We analyzed whether the memory patterns coexist with mixed states when the sparse coding scheme is used for the associative memory model storing ultrametric patterns. For memory patterns and mixed states to coexist, there must be sufficient capacity for storing them and their threshold values must be the same. We determined that the storage capacities for all mixed states composed of correlated memory patterns diverge as 1/| f log f| (where f is the firing rate) even when the correlation of the memory patterns is infinitesimally small. We also determined that the memory patterns and the mixed states can become the equilibrium state of the model in the same threshold value. These results mean that they can coexist in this model. These findings should contribute to research on face responsive neurons in the monkey inferior-temporal cortex.

摘要

分析记忆模式和混合状态的共存情况,可为构建猴子颞下叶皮质面部反应神经元模型提供重要信息。我们分析了在将稀疏编码方案用于存储超度量模式的联想记忆模型时,记忆模式是否与混合状态共存。为了使记忆模式和混合状态共存,必须有足够的存储容量,并且它们的阈值必须相同。我们确定,即使记忆模式的相关性极小,由相关记忆模式组成的所有混合状态的存储容量也会以1/|f log f|的形式发散(其中f是放电率)。我们还确定,记忆模式和混合状态可以在相同的阈值下成为模型的平衡状态。这些结果意味着它们可以在该模型中共存。这些发现应有助于对猴子颞下叶皮质面部反应神经元的研究。

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