Algebraic approach to the Kuramoto model

L Muller, J Mináč, TT Nguyen - Physical Review E, 2021 - APS
We study the Kuramoto model with attractive sine coupling. We introduce a complex-valued
matrix formulation whose argument coincides with the original Kuramoto dynamics. We …

Research on cloud computing service based on trust access control

P Sun - International Journal of Engineering Business …, 2020 - journals.sagepub.com
Recently, more and more network fraud incidents have damaged the interests of cloud
service traders. To enhance mutual trust and win–win cooperation between the users and …

[HTML][HTML] Effect of edge pruning on structural controllability and observability of complex networks

SA Mengiste, A Aertsen, A Kumar - Scientific reports, 2015 - nature.com
Controllability and observability of complex systems are vital concepts in many fields of
science. The network structure of the system plays a crucial role in determining its …

Brain networks: small-worlds, after all?

L Muller, A Destexhe, M Rudolph-Lilith - New Journal of Physics, 2014 - iopscience.iop.org
Since its introduction, the'small-world'effect has played a central role in network science,
particularly in the analysis of the complex networks of the nervous system. From the cellular …

Structural pruning in deep neural networks: A small-world approach

G Krishnan, X Du, Y Cao - arXiv preprint arXiv:1911.04453, 2019 - arxiv.org
Deep Neural Networks (DNNs) are usually over-parameterized, causing excessive memory
and interconnection cost on the hardware platform. Existing pruning approaches remove …

On Random Sampling of Diffused Graph Signals with Sparse Inputs on Vertex Domain

Y Lai, L Chai, J Xu - arXiv preprint arXiv:2412.20041, 2024 - arxiv.org
The sampling of graph signals has recently drawn much attention due to the wide
applications of graph signal processing. While a lot of efficient methods and interesting …

Relevance of network topology for the dynamics of biological neuronal networks

SA Mengiste, A Aertsen, A Kumar - bioRxiv, 2021 - biorxiv.org
Complex random networks provide a powerful mathematical framework to study high-
dimensional physical and biological systems. Several features of network structure (eg …

Computational Approaches to the Degeneration of Brain Networks and Other Complex Networks

SA Mengiste - 2017 - diva-portal.org
The complex interaction of billions of neurons through trillions of synapses makes brain an
excellent case of a complex system. The membrane potential, the level of …

[HTML][HTML] On a link between Dirichlet kernels and central multinomial coefficients

M Rudolph-Lilith, LE Muller - Discrete Mathematics, 2015 - Elsevier
The central coefficients of powers of certain polynomials with arbitrary degree in x form an
important family of integer sequences. Although various recursive equations addressing …

Neural graphs: small-worlds, after all?

M Rudolph-Lilith, LE Muller - BMC Neuroscience, 2014 - Springer
In recent years, small-world graphs have gained considerable interest as models of real-
world systems, which often display features residing between regularity and randomness …