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arXiv 2305.07482q-bio.NCcond-mat.dis-nn
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信息几何在脉冲神经网络行为中的应用

Applications of information geometry to spiking neural network behavior

Jacob T. Crosser, Braden A. W. Brinkman

AI总结:

本文利用信息几何方法分析兴奋-抑制神经网络的脉冲行为,揭示膜与突触时间尺度竞争塑造信息几何,并识别影响模型行为的关键统计参数及其随兴奋/抑制平衡的变化。

摘要:

复杂生物系统可能展现的行为空间是难以想象的广阔,这些系统往往表现出随机性,无论是由于多变的噪声环境输入还是内在产生的混沌。大脑是生物系统中具有复杂行为的一个突出例子。局部脑回路发射的脉冲模式数量在组合意义上是巨大的,尽管大脑可能不会利用所有模式。理解大脑实际使用了哪些可能的模式,以及这些模式集合如何随着神经回路特性的变化而改变,是神经科学的一个主要目标。近年来,信息几何工具已被用于研究概率模型在模型流形层次上的嵌入,这些流形编码了模型行为如何随参数变化,从而给出了模型行为之间“距离”的定量概念。我们将此方法应用于一个兴奋性和抑制性神经群体的网络模型,以理解膜时间尺度与突触响应时间尺度之间的竞争如何塑造网络的信息几何。双曲嵌入使我们能够识别模型行为对其最敏感的统计参数,并展示这些坐标的排序如何随网络中兴奋与抑制的平衡而变化。

英文摘要:

The space of possible behaviors complex biological systems may exhibit is unimaginably vast, and these systems often appear to be stochastic, whether due to variable noisy environmental inputs or intrinsically generated chaos. The brain is a prominent example of a biological system with complex behaviors. The number of possible patterns of spikes emitted by a local brain circuit is combinatorially large, though the brain may not make use of all of them. Understanding which of these possible patterns are actually used by the brain, and how those sets of patterns change as properties of neural circuitry change is a major goal in neuroscience. Recently, tools from information geometry have been used to study embeddings of probabilistic models onto a hierarchy of model manifolds that encode how model behaviors change as a function of their parameters, giving a quantitative notion of "distances" between model behaviors. We apply this method to a network model of excitatory and inhibitory neural populations to understand how the competition between membrane and synaptic response timescales shapes the network's information geometry. The hyperbolic embedding allows us to identify the statistical parameters to which the model behavior is most sensitive, and demonstrate how the ranking of these coordinates changes with the balance of excitation and inhibition in the network.

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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