在复杂网络上,高斯随机场的水平设置透
1Mathematics Department, <a href="https://ror.org/0220mzb33">King's College London</a>, Strand, London WC2R 2LS, United Kingdom.
Physical review. E
|October 19, 2024
概括
我们通过分析微观结构和使用空腔方法解决了复杂网络上的多变量高斯定数的水平设定透. 这提供了一种自相一致的方法来确定局部透概率.
科学领域:
- 复杂的网络 复杂的网络
- 统计物理 统计物理
- 图形理论 图形理论
背景情况:
- 在理解复杂系统中的相位过渡时,水平设置透至关重要.
- 多变量高斯分布在图表上被用于各种领域,包括机器学习和统计物理学.
- 权重图形拉普拉斯图形对于分析图形结构和动态至关重要.
研究的目的:
- 为复杂网络上多变量高斯函数的水平设定透提供明确的解决方案.
- 开发一种自相一致的方法来确定局部变化的透概率.
- 分析透问题的异质微观结构.
主要方法:
- 使用空洞或传递信息的方法.
- 分析透问题的异质微观结构.
- 对局部变化的透概率的自我一致的确定.
主要成果:
- 一个明确的解决方案水平设置的透得到了衍生.
- 该方法允许在局部树状图和热力学极限中评估透概率.
- 该分析解释了复杂网络的异质微观结构.
结论:
- 开发的方法为研究具有多变量高斯分布的复杂网络中的透现象提供了强大的框架.
- 洞穴方法有效地捕捉到透概率的局部变化.
- 这些发现适用于配置模型类中的随机图.
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