复杂网络中中等尺度结构的检测性约束
1Department of Computer Science, University of Exeter, Exeter, United Kingdom.
PloS one
|January 22, 2025
概括
配置模型限制了在网络中检测核心-外围结构. 这项研究得出了检测这些中等尺度结构的条件,并将区块模块化优化与随机区块模型联系起来.
科学领域:
- 网络科学 网络科学
- 图形理论 图形理论
- 统计物理 统计物理
背景情况:
- 了解大型网络组织依赖于节点分区,如社区,核心-外围和分类结构.
- 半尺度结构为网络功能和组织提供了洞察力.
研究的目的:
- 通过使用块模块化来研究常见的中等尺度结构.
- 分析配置模型对检测核心-外围和嵌套结构的影响.
- 为了建立区块模块化优化和度校正的静态区块模型参数估计之间的等价性.
主要方法:
- 使用区块模块化的网络结构的分析.
- 导出不等式以确定结构在配置模型下的可检测性.
- 建立区块模块化优化和度校正的随机区块模型的最大概率估计之间的一般等价性.
主要成果:
- 配置模型在指导和非指导网络中对检测核心-外围和相关结构施加了重大约束.
- 衍生不等式表明,这些结构的检测性是有限的,并且与分辨率限制有关.
- 与核心-外围相关的结构 - - 嵌套性也被发现只有在特定条件下才能被检测出来.
- 在经过度校正的随机区块模型中,优化区块模块化和最大概率估计之间建立了正式等价性.
结论:
- 配置模型在网络中识别核心-外围和嵌套结构时存在固有的局限性.
- 发现的等价性为对比推断和描述方法的框架提供了一个框架,用于中等尺度结构检测.
- 这项研究阐明了分析复杂网络组织的约束和方法.
相关概念视频
Protein Networks
3.9K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
3.9K
Assembly of Complex Microtubule Structures
1.8K
Complex microtubule structures are present in resting cells and in dividing cells. In resting cells, they are responsible for maintaining the cellular architecture, tracks for intracellular transport, positioning of organelles, assembly of cilia and flagella. They mediate the bipolar spindle assembly for chromosomal segregation and positioning of the cell division plate in dividing cells. The formation of microtubule complex structures depends on the cell type, cell stage, and cell function.
1.8K
¹H NMR: Interpreting Distorted and Overlapping Signals
1.0K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.0K


