Correlations in spiking neuronal networks with distance dependent connections

Birgit Kriener; Moritz Helias; Ad Aertsen; Stefan Rotter

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Correlations in spiking neuronal networks with distance dependent connections

机译：尖峰神经网络与距离相关连接的相关性

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摘要

Can the topology of a recurrent spiking network be inferred from observed activity dynamics? Which statistical parameters of network connectivity can be extracted from firing rates, correlations and related measurable quantities? To approach these questions, we analyze distance dependent correlations of the activity in small-world networks of neurons with current-based synapses derived from a simple ring topology. We find that in particular the distribution of correlation coefficients of subthreshold activity can tell apart random networks from networks with distance dependent connectivity. Such distributions can be estimated by sampling from random pairs. We also demonstrate the crucial role of the weight distribution, most notably the compliance with Dales principle, for the activity dynamics in recurrent networks of different types.

机译：可以从观察到的活动动态推断出周期性尖峰网络的拓扑吗？可以从点火率，相关性和相关的可测量数量中提取哪些网络连接统计参数？为了解决这些问题，我们分析了神经元的小世界网络中活动的距离相关性，这些活动与从简单环形拓扑派生的基于电流的突触相关。我们发现，特别是亚阈值活动的相关系数的分布可以区分随机网络与具有距离依赖连接性的网络。可以通过从随机对中采样来估计这种分布。我们还证明了权重分布（尤其是遵守Dales原则）对于不同类型的递归网络中活动动态的关键作用。

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来源
《Journal of Computational Neuroscience》 |2009年第2期|177-200|共24页
作者
Birgit Kriener; Moritz Helias; Ad Aertsen; Stefan Rotter;
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作者单位

Bernstein Center for Computational Neuroscience,Albert-Ludwig University, Freiburg, Germany Neurobiology and Biophysics, Faculty of Biology,Albert-Ludwig University, Freiburg, Germany;

Bernstein Center for Computational Neuroscience,Albert-Ludwig University, Freiburg, Germany Neurobiology and Biophysics, Faculty of Biology,Albert-Ludwig University, Freiburg, Germany;

Bernstein Center for Computational Neuroscience,Albert-Ludwig University, Freiburg, Germany Neurobiology and Biophysics, Faculty of Biology,Albert-Ludwig University, Freiburg, Germany;

Computational Neuroscience, Faculty of Biology,Albert-Ludwig University, Freiburg, Germany;

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原文格式 PDF
正文语种 eng
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关键词
spiking neural networks; small-world networks; pairwise correlations; distribution of correlation coefficients;

机译：尖峰神经网络;小世界网络;成对相关;相关系数的分布;

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1. Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks IV - Structuring synaptic pathways among recurrent connections [J] . Gilson M, Burkitt AN, Grayden DB, Biological Cybernetics: Communication and Control in Organisms and Automata: = Nachrichtenubertragung, Nachrichtenverarbeitung, Steuerung und Regelung in Organismen und in Automaten . 2009,第5a6期

机译：递归神经元网络中由于穗定时依赖的可塑性引起的网络结构的出现IV-在递归连接中构建突触途径
2. Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks IV Structuring synaptic pathways among recurrent connections [J] . Matthieu Gilson, Anthony N. Burkitt, David B. Grayden, Biological Cybernetics . 2009,第5a6期

机译：复发性神经元网络中由于穗定时依赖的可塑性引起的网络结构的出现IV构建复发性连接之间的突触途径
3. Interplay between spike-timing-dependent plasticity and neuronal correlations gives rise to network structure [J] . Matthieu Gilson, Doreen A Thomas, Anthony N Burkitt, BMC Neuroscience . 2009,第SUPPLEMENTa1期

机译：依赖于时序定时的可塑性和神经元相关性之间的相互作用产生了网络结构
4. Robust Inference of Neuronal Correlations from Blurred and Noisy Spiking Observations [C] . Anuththara Rupasinghe, Behtash Babadi Annual Conference on Information Sciences and Systems . 2020

机译：从模糊和嘈杂的尖峰观测结果推断神经元相关性
5. Indirect Training Algorithms for Spiking Neural Networks based on Spiking Timing Dependent Plasticity and Their Applications. [D] . Zhang, Xu. 2017

机译：基于尖峰时序相关可塑性的尖峰神经网络间接训练算法及其应用。
6. Correlations in spiking neuronal networks with distance dependent connections [O] . Birgit Kriener, Moritz Helias, Ad Aertsen, -1

机译：尖峰神经网络与距离相关连接的相关性
7. Correlations in spiking neuronal networks with distance dependent connections [O] . 2009

机译：尖峰神经网络与距离相关连接的相关性

Correlations in spiking neuronal networks with distance dependent connections

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