154 citations · 480 across the 11 of their papers we have counts for
13 papers
Graphlets as structural fingerprints of complex networks
Anna Pidnebesna, David Hartman, Aneta Pokorna +2
Complex networks are often compared using selected graph-theoretical measures that capture a selected set of properties with effects ranging from local to global, such as degree, c…
Integral Betti signature confirms the hyperbolic geometry of brain, climate, and financial networks
Luigi Caputi, Anna Pidnebesna, Jaroslav Hlinka
This paper extends the possibility to examine the underlying curvature of data through the lens of topology by using the Betti curves, tools of Persistent Homology, as key topologi…
Computing approximate symmetries of complex networks
Anna Pidnebesna, David Hartman, Aneta Pokorná +2
The symmetry of complex networks is a global property that has recently gained attention since MacArthur et al. 2008 showed that many real-world networks contain a considerable num…
Mixture Components Inference for Sparse Regression: Introduction and Application for Estimation of Neuronal Signal from fMRI BOLD
Anna Pidnebesna, Iveta Fajnerova, Jiri Horacek +1
Sparse linear regression methods including the well-known LASSO and the Dantzig selector have become ubiquitous in the engineering practice, including in medical imaging. Among oth…
FitzHugh-Nagumo oscillators on complex networks mimic epileptic-seizure-related synchronization phenomena
M. Gerster, R. Berner, J. Sawicki +5
We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneou…
Partial synchronization in empirical brain networks as a model for unihemispheric sleep
Lukas Ramlow, Jakub Sawicki, Anna Zakharova +3
We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynam…
Nonlinearity in stock networks
David Hartman, Jaroslav Hlinka
Stock networks, constructed from stock price time series, are a well-established tool for the characterization of complex behavior in stock markets. Following Mantegna's seminal pa…
Causal network discovery by iterative conditioning: comparison of algorithms
Jakub Kořenek, Jaroslav Hlinka
Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the ca…
Chimera states in brain networks: empirical neural vs. modular fractal connectivity
Teresa Chouzouris, Iryna Omelchenko, Anna Zakharova +3
Complex spatiotemporal patterns, called chimera states, consist of coexisting coherent and incoherent domains and can be observed in networks of coupled oscillators. The interplay…
Nonparametric Maximum Entropy Estimation on Information Diagrams
Elliot A. Martin, Jaroslav Hlinka, Alexander Meinke +2
Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previous…
Pairwise Network Information and Nonlinear Correlations
Elliot A. Martin, Jaroslav Hlinka, Jörn Davidsen
Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to estab…
Non-linear dependence and teleconnections in climate data: sources, relevance, nonstationarity
Jaroslav Hlinka, David Hartman, Martin Vejmelka +2
Quantification of relations between measured variables of interest by statistical measures of dependence is a common step in analysis of climate data. The term "connectivity" is us…
Small-world topology of functional connectivity in randomly connected dynamical systems
Jaroslav Hlinka, David Hartman, Milan Paluš
Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world prope…