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射击噪声在神经网络集体动态中的建设性作用
V V Klinshov1,2, P S Smelov1, S Yu Kirillov1
1Institute of Applied Physics of the Russian Academy of Sciences, Ulyanova Street 46, 603950 Nizhny Novgorod, Russia.
Chaos (Woodbury, N.Y.)
|June 5, 2023
概括
有限大小的效应,模拟为神经网络中的射击噪声,可以创建元稳定状态,甚至可以实现无限网络中不存在的宏观模式. 这揭示了噪声在神经动力学中的建设性作用.
科学领域:
- 计算神经科学是一种计算神经科学.
- 复杂系统的统计物理学.
背景情况:
- 有限大小的影响显著影响集体神经动态.
- 在全球合网络中,这些效应可以用一种常见的噪音术语来建模,称为射击噪声.
- 射击噪声会影响热力学极限内的宏观动力学.
研究的目的:
- 进一步研究枪声在全球合神经网络的集体动态中的作用.
- 探索噪音引起的不同宏观模式之间的切换.
- 了解枪声如何改变宏观状态的存在区域.
主要方法:
- 分析全球合神经网络中的宏观动态.
- 模拟有限尺寸的效果作为射击噪声.
- 调查噪声诱导的转换和参数依赖状态的寿命.
主要成果:
- 射击噪声将无限网络的吸引器转化为元稳定状态.
- 这些超稳定状态的寿命表现出对系统参数的平稳依赖.
- 射击噪声改变了特定宏观制度存在的参数区域,使得无限网络中无法找到的状态.
结论:
- 射击噪声通过使参数区域中的宏观神经状态在其他情况下不存在的地方起到建设性的作用.
- 通过射击噪声,有限大小的效应对于理解神经群体的新兴动态和稳定性至关重要.
- 该研究强调了在神经网络的理论模型中考虑噪声的重要性.
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