学习可解释的集体变量,用于在网络上传播流程
Marvin Lücke1, Stefanie Winkelmann1, Jobst Heitzig2
1Modeling and Simulation of Complex Processes, Zuse Institute Berlin, 14195 Berlin, Germany.
Physical review. E
|March 16, 2024
概括
本研究介绍了一种数据驱动的方法,用于在复杂的网络动态中识别集体变量 (CV). 该方法揭示了低维的集体变量,即使在理论上无法解释的系统中.
科学领域:
- 复杂的系统复杂的系统.
- 网络科学 网络科学
- 数据科学数据科学数据科学
背景情况:
- 集体变量 (CV) 简化了高维系统状态,用于分析网络中新出现的动态.
- 了解CV和网络措施之间的联系是具有挑战性的,通常需要对系统动态和网络拓学的深入知识.
研究的目的:
- 开发一种数据驱动的方法,用于算法学习和理解在网络上的二进制状态传播过程中的简历.
- 在各种网络结构中探索CV和网络属性之间的关系.
主要方法:
- 用一种新的数据驱动方法来识别和分析简历.
- 该方法应用于各种网络拓上的二进制状态扩散过程,包括随机区块模型,环图,随机正则图和无尺度网络 (阿尔伯特-巴拉巴西模型).
主要成果:
- 该研究成功地展示了CVs的算法学习,用于在任意拓网络上扩展流程.
- 发现了低维CV存在的证据,即使在缺乏先前理论理解的网络配置中也是如此.
结论:
- 开发的数据驱动方法有效地识别了复杂网络动态中的集体变量.
- 这种方法促进了对网络系统中新出现的行为的理解,并突出了低维集体变量的普遍性.
更多相关视频
10:44Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
Published on: December 7, 2021
2.1K
04:44Inter-Brain Synchrony in Open-Ended Collaborative Learning: An fNIRS-Hyperscanning Study
Published on: July 21, 2021
4.2K
相关概念视频
Distribution and Dispersion
21.8K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
21.8K
Random Variables
11.9K
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
11.9K
Associative Learning
355
Associative learning is a fundamental concept in behavioral psychology, wherein a connection is established between two stimuli or events, leading to a learned response. This process is critical in understanding how behaviors are acquired and modified. Conditioning, the mechanism through which associations are formed, can be divided into two main types: classical conditioning and operant conditioning, each elucidating different aspects of associative learning.
Classical conditioning, also known...
Classical conditioning, also known...
355
Multi-input and Multi-variable systems
106
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
In the absence...
106
Variability: Analysis
142
Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
The range is a simple measure of variability, indicating the difference between the highest and...
The range is a simple measure of variability, indicating the difference between the highest and...
142
Distributions to Estimate Population Parameter
4.1K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
4.1K
