定向循环在定向神经网络中的作用
Qinrui Dai1, Jin Zhou2, Zhengmin Kong3
1School of Mathematics and Statistics, Wuhan University, Hubei 430072, China.
概括
将边缘添加到定向非循环神经网络 (DANNs) 中不会改变动态,也不会导致如果没有循环存在,Hopf分叉. 循环结构,而不是边缘位置,决定了DANN中的稳定性和分支.
科学领域:
- 计算神经科学是一种神经科学.
- 网络动态 网络动态
- 控制理论 控制理论
背景情况:
- 定向非循环神经网络 (DANNs) 是神经科学和人工智能的关键模型.
- 了解网络稳定性和分叉对于预测系统行为至关重要.
- 边缘操纵是一种常见的控制策略,用于改变网络动态.
研究的目的:
- 研究边缘添加控制对定向非循环神经网络局部稳定性和Hopf分叉的影响.
- 确定影响边缘操纵下网络动态的关键因素.
- 确定循环结构在网络稳定性和分叉现象中的作用.
主要方法:
- 使用数学控制理论分析网络动态.
- 通过自身价值分析调查局部稳定性.
- 基于网络拓学的Hopf分叉条件的识别.
- 数字模拟用于验证理论发现.
主要成果:
- 在受控的DANN中,局部稳定性和Hopf分叉是独立于添加边缘的数量和位置的.
- 定向循环的存在,大小和交叉是网络动态和分叉的关键决定因素.
- 没有循环的网络保持稳定,不表现出Hopf分叉,无论边缘增加.
- 循环结构是霍夫分叉的必要条件,门取决于循环特征.
结论:
- 在DANN中添加边缘控制并不会本质上破坏网络的稳定性或诱导Hopf分叉.
- 神经网络的内在循环结构决定了它对分叉的易感性.
- 针对边缘添加的控制策略必须考虑底层循环拓,以获得可预测的结果.
更多相关视频
08:43Application of Granger Causality Analysis of the Directed Functional Connection in Alzheimer's Disease and Mild Cognitive Impairment
Published on: August 7, 2017
7.9K
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
相关概念视频
Neural Circuits
1.2K
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
1.2K
Direct Motor Pathways
1.9K
The direct motor pathways, also known as the pyramidal tracts, are a group of neural pathways that originate in the brain and descend through the spinal cord. They control the voluntary movement of the body. There are two major direct motor pathways: the corticospinal and the corticobulbar tracts.
The corticospinal tract is responsible for the voluntary movement of the limbs and trunk. It originates in the cerebral cortex of the brain and descends through the cerebrum's internal capsule and...
The corticospinal tract is responsible for the voluntary movement of the limbs and trunk. It originates in the cerebral cortex of the brain and descends through the cerebrum's internal capsule and...
1.9K
Circuit Terminology
1.5K
An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
1.5K
