综合和火神经网络的热力学模拟通过最大模型
T S A N Simões1, C I N Sampaio Filho2, H J Herrmann2,3
1Department of Mathematics and Physics, University of Campania "Luigi Vanvitelli", Viale Lincoln, 5, 81100, Caserta, Italy. tiago.dasilvaalvesdenogueirasimoes@unicampania.it.
Scientific reports
|April 25, 2024
概括
本研究将最大值方法应用于关键的整合和火 (IF) 神经网络模型. 它揭示了自发大脑活动中的旋转玻璃阶段和关键行为,为神经网络动态提供了洞察力.
科学领域:
- 计算神经科学是一种神经科学.
- 统计物理 统计物理
- 复杂的系统复杂的系统.
背景情况:
- 自发的大脑活动表现出无尺度的爆发和长距离的相关性,表明了关键现象.
- 从最大原则衍生出的Ising-like模型,已经用热力学描述了实验性神经元数据.
- 以前的应用程序排除了具有可塑性的生物启发的神经网络.
研究的目的:
- 将最大值方法应用于可调整的整合和火 (IF) 神经网络模型的关键性.
- 系统地研究控制的计算环境中的自发神经元活动中的关键性和有限大小效应.
- 研究生物可信的神经网络中旋转玻璃阶段和关键现象的出现.
主要方法:
- 使用了可调整到关键性的整合和火 (IF) 神经网络模型.
- 基于网络活动和相关函数构建了通用化的伊辛哈密尔顿数.
- 在不同的网络参数下分析了旋转玻璃相,磁化和响应函数.
主要成果:
- 衍生出来的伊辛哈密尔顿数在低温下表现出一个自旋玻璃相,具有特定的场和相互作用分布.
- 磁化和响应函数在临界点附近显示特征单一的行为.
- 抑制性神经元的百分比增加减少了热波动;分析相关的对使得更大的系统研究.
结论:
- 最大的方法成功地模拟了生物启发的IF神经网络中的关键性.
- 该研究提供了一个可控的框架来探索神经网络中的关键现象和有限尺寸效应.
- 这些发现有助于理解背后的自发大脑活动和神经网络组织的统计物理.
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