Graph convolutional neural networks (GCNNs) are nonlinear processing tools to learn representations from network data. A key property of GCNNs is their stability to graph perturbations. Current analysis considers deterministic perturbations but fails to provide relevant insights when topological changes are...
The interactions between the components of many real-world systems are best modelled by networks with multiple layers. Different theories have been proposed to explain how multilayered connections affect the linear stability of synchronization in dynamical systems. However, the resulting equations are comp...
Many systems in physics, biology, engineering and social sciences can be modeled as networks of interacting units1. Often, each of the elementary system constituents (the nodes of the network) is a dynamical system itself, whose evolution is influenced by the states of the other units to which...
In this study, a transient stability assessment method based on the gating spatiotemporal graph neural network (GSTGNN) is proposed. A time-adaptive method is used to improve the accuracy and speed of transient stability assessment. First, in order to reduce the impact of dynamic topology on ...
Singh, V., A Generalized Approach for the Absolute Stability of Discrete-time Systems Utilizing the Saturation Nonlinearity Based on Passivity Properties, IEEE Trans. Circuits & Syst., 1990, vol. 37, no. 3, pp. 444–447. MATH Google Scholar Voronov, A.A., On Absolute Stability Criteria ...
Crucial problems of the quantum Internet are the derivation of stability properties of quantum repeaters and theory of entanglement rate maximization in an entangled network structure. The stability property of a quantum repeater entails that all incomin
Testing was done of the possibility of using a multi-layered neural networks which had undergone supervised learning to define the stability level of the system on the basis of the complete or reduced state vector. The reduced state vector is obtained by extraction of the characteristic state ...
5.3 Updated critical span graph On the basis of the proposed hybrid stacking ensemble model, the CSG of UETEs was updated. Firstly, RMR was denoted as the horizontal axis with a range of 24% to 87% and span was denoted as the vertical axis with a range of 1.8 to 41 m. Secondly, bo...
To study how properties of the transcriptional regulatory network affect the stability of the system, we first consider the regime where the lifetime of mRNAs is much shorter than that of proteins, which is typically true for wild-type cells26. In this limit of fast mRNA degradation, the rela...
The human prefrontal cortex is a structurally and functionally heterogenous brain region, including multiple subregions that have been linked to different large-scale brain networks. It contributes to a broad range of mental phenomena, from goal-directed thought and executive functions to mind-wandering...