检测网络的局部干扰,在一个潜伏的超模的嵌入空间空间
A Longhena1, M Guillemaud1, M Chavez2
1Paris Brain Institute, CNRS-UMR7225, Inserm-U1127, Sorbonne University-UM75, Inria-Paris, Hôpital de la Pitié Salpêtrière, 75013 Paris, France.
Chaos (Woodbury, N.Y.)
|June 5, 2024
概括
这项研究提出了新的得分来检测网络变化使用过度波形几何学. 该方法有效地识别了手术后大脑网络的变化.
科学领域:
- 网络科学 网络科学
- 过度波形几何学的几何学.
- 计算神经科学是一种计算神经科学.
背景情况:
- 分析复杂的网络往往需要了解它们的基础结构.
- 非欧几里德几何学为网络表示提供了新的视角.
- 检测局部干扰对于理解网络动态至关重要.
研究的目的:
- 引入新的分数来检测网络中的局部扰动.
- 应用非欧几里德网络表示方式,使用波因卡雷磁盘模型.
- 在各种网络模型和现实数据上评估分数的表现.
主要方法:
- 网络嵌入到Poincaré磁盘模型中.
- 开发和数值评估两个新的扰动检测得分.
- 对真实大脑网络数据的应用,以分析手术的影响.
主要成果:
- 建议的得分有效地检测和定位在均质和异质网络中的扰动.
- 嵌入几何网络成功捕获了大脑网络中的潜在结构.
- 该方法量化了手术对大脑区域的影响.
结论:
- 新的分数和形几何学方法为网络分析提供了强大的工具.
- 这种方法为研究干预后的大脑网络变化提供了新的视角.
- 几何网络嵌入在研究中的首次应用证明了它的潜力.
相关概念视频
01:21Linear Approximation in Time Domain
81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
01:23Linear time-invariant Systems
248
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
248