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arXiv 1805.03337cs.NEq-bio.NC
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多尺度度量和自组织映射:感觉映射结构的计算方法

Multi-scale metrics and self-organizing maps: a computational approach to the structure of sensory maps

William H. Wilson

摘要:

本文介绍了自组织映射(SOM)算法的合作阶段中使用的双尺度度量的概念。双尺度度量的使用允许将地图分割成多个区域,对应于数据中的预期聚类结构。这种情况发生在例如激发SOM算法的躯体位置图中,其中数据簇可以对应于其一般结构已知的身体表面区域。当适当地应用双尺度度量时,减少或消除了未被训练数据中的任何点激活的映射神经元的问题。本文还介绍了双尺度度量地图的可塑性仿真研究的结果,当它们被重新训练后,损失组的地图神经元或后的变化训练数据(如将发生在一个躯体定位地图时,身体表面区域,如手指丢失/删除)。本文进一步考虑了三尺度度量可能有用的情况,以及神经生物学建议的替代方法,其中一些地图区域适应刺激更慢,因为它们具有较低的学习率参数。

英文摘要:

This paper introduces the concept of a bi-scale metric for use in the cooperative phase of the self-organizing map (SOM) algorithm. Use of a bi-scale metric allows segmentation of the map into a number of regions, corresponding to anticipated cluster structure in the data. Such a situation occurs, for example, in the somatotopic maps which inspired the SOM algo- rithm, where clusters of data may correspond to body surface regions whose general structure is known. When a bi-scale metric is appropriately applied, issues with map neurons that are not activated by any point in the training data are reduced or eliminated. The paper also presents results of simulation studies on the plasticity of bi-scale metric maps when they are retrained af- ter loss of groups of map neurons or after changes in training data (such as would occur in a somatotopic map when a body surface region like a finger is lost/removed). The paper further considers situations where tri-scale met- rics may be useful, and an alternative approach suggested by neurobiology, where some map regions adapt more slowly to stimuli because they have a lower learning rate parameter.

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。

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