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在线化随机的阿马里神经模型中,的产生和不可逆性.
Dario Lucente1, Giacomo Gradenigo2,3, Luca Salasnich4,5
1Department of Mathematics & Physics, University of Campania "Luigi Vanvitelli", Viale Lincoln 5, 81100 Caserta, Italy.
Entropy (Basel, Switzerland)
|November 26, 2025
概括
这项研究分析了阿马里大脑模型中的产量,并增加了随机性. 它揭示了热平衡的条件,并将生成与神经网络中的Shannon变化联系起来.
科学领域:
- 计算神经科学是一种神经科学.
- 统计力学 统计力学
- 非平衡的热力学 热力学
背景情况:
- 大脑,作为一个动态系统,运行在热平衡之外.
- 的产生是确定非平衡系统中的平衡的关键可观测因素.
- 阿玛里模型提供了一个粗的神经网络动态的表示.
研究的目的:
- 在随机阿马里模型中计算产量.
- 调查噪声特性与模型平衡之间的关系.
- 导出神经网络模型处于平衡状态或处于平衡状态的条件.
主要方法:
- 非平衡统计力学和随机过程的应用.
- 对于添加噪声的阿玛里整微分方程,详细计算产量.
- 对平衡和非平衡静态状态的明确公式的推导.
主要成果:
- 确定了特定的条件和明确的公式,用于确定阿玛里模型的静态状态在热平衡中或外.
- 证明了噪声特征与模型固有的动态之间的相互作用.
- 建立了产生的速率和系统的香农的时间变化之间的关系.
结论:
- 该研究为分析神经网络模型中的非平衡动态提供了一个框架.
- 了解的产生对于描述大脑的运行状态至关重要.
- 这些发现为控制神经计算的基本物理提供了洞察力.
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