Browsing Applied Mathematics by Title
Now showing items 62-81 of 145
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Large random simplicial complexes, I
(2016-09) -
Likelihood-based assessment of dynamic networks
(2016-03-23) -
Localisation for non-monotone Schrödinger operators
(2014-01-01) -
Modeling teams performance using deep representational learning on graphs
<jats:title>Abstract</jats:title><jats:p>Most human activities require collaborations within and across formal or informal teams. Our understanding of how the collaborative efforts spent by teams relate to their performance ... -
Multiscale modeling of brain dynamics: from single neurons and networks to mathematical tools.
(2016-09)The extreme complexity of the brain naturally requires mathematical modeling approaches on a large variety of scales; the spectrum ranges from single neuron dynamics over the behavior of groups of neurons to neuronal network ... -
Nature of hypergraph k -core percolation problems
(American Physical Society, 2024-01-17)Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e., bipartite networks between nodes and factor nodes (representing ... -
Network Entropy measures applied to different systemic perturbations of cell basal state
We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates ... -
Network Geometry and Complexity
(Springer Verlag, 2018-07-18)Higher order networks are able to characterize data as different as functional brain networks, protein interaction networks and social networks beyond the framework of pairwise interactions. Most notably higher order ... -
Network structure of multivariate time series
(2015-10-21) -
Network structure of multivariate time series.
(2015-10-21)Our understanding of a variety of phenomena in physics, biology and economics crucially depends on the analysis of multivariate time series. While a wide range tools and techniques for time series analysis already exist, ... -
Nonlinear Analogue of the May-Wigner Instability Transition
(PNAS, 2016-01)We study a system of $N\gg 1$ degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of coupling, the system is exponentially relaxing ...