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Statistical evaluation of synchronous spike patterns extracted by frequent item set mining

机译:频繁项目集挖掘提取的同步峰值模式的统计评估

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摘要

We recently proposed frequent itemset mining (FIM) as a method to perform an optimized search for patterns of synchronous spikes (item sets) in massively parallel spike trains. This search outputs the occurrence count (support) of individual patterns that are not trivially explained by the counts of any superset (closed frequent item sets). The number of patterns found by FIM makes direct statistical tests infeasible due to severe multiple testing. To overcome this issue, we proposed to test the significance not of individual patterns, but instead of their signatures, defined as the pairs of pattern size z and support c. Here, we derive in detail a statistical test for the significance of the signatures under the null hypothesis of full independence (pattern spectrum filtering, PSF) by means of surrogate data. As a result, injected spike patterns that mimic assembly activity are well detected, yielding a low false negative rate. However, this approach is prone to additionally classify patterns resulting from chance overlap of real assembly activity and background spiking as significant. These patterns represent false positives with respect to the null hypothesis of having one assembly of given signature embedded in otherwise independent spiking activity. We propose the additional method of pattern set reduction (PSR) to remove these false positives by conditional filtering. By employing stochastic simulations of parallel spike trains with correlated activity in form of injected spike synchrony in subsets of the neurons, we demonstrate for a range of parameter settings that the analysis scheme composed of FIM, PSF and PSR allows to reliably detect active assemblies in massively parallel spike trains.
机译:我们最近提出了频繁项集挖掘(FIM),作为一种在大规模并行峰值序列中执行优化的同步峰值(项目集)模式搜索的方法。该搜索输出单个模式的出现次数(支持),而任何超级集(封闭的频繁项集)的数量都不能简单地解释这些模式的出现次数。由于严重的多重测试,FIM发现的模式数量使直接统计测试不可行。为了克服这个问题,我们建议测试的重要性不是单个模式的而是其签名,而是定义为模式大小z和支持c的对。在这里,我们通过替代数据详细推导了在完全独立的零假设(模式频谱过滤,PSF)下对签名的重要性进行统计检验。结果,可以很好地检测到模拟装配活动的注入尖峰模式,从而产生较低的假阴性率。但是,这种方法易于将实际装配活动和背景峰值的偶然重叠导致的模式另外分类为有意义的模式。对于将一个给定签名的程序集嵌入到其他独立的尖峰活动中的零假设中,这些模式表示误报。我们提出了模式集减少(PSR)的其他方法,以通过条件过滤消除这些误报。通过采用具有相关活动的并行穗状花序的随机模拟,以神经元子集中注入的穗状花序同步的形式,我们证明了对于一系列参数设置,由FIM,PSF和PSR组成的分析方案可以可靠地大规模检测活动装配平行钉火车。

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