[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

A complex systems perspective on neuroimaging studies of behavior and its disorders

FE Turkheimer, FE Rosas, O Dipasquale… - The …, 2022 - journals.sagepub.com
The study of complex systems deals with emergent behavior that arises as a result of
nonlinear spatiotemporal interactions between a large number of components both within …

Psilocybin enhances insightfulness in meditation: a perspective on the global topology of brain imaging during meditation

B Singer, D Meling, M Hirsch-Hoffmann, L Michels… - Scientific Reports, 2024 - nature.com
In this study, for the first time, we explored a dataset of functional magnetic resonance
images collected during focused attention and open monitoring meditation before and after …

Graph kernels: State-of-the-art and future challenges

K Borgwardt, E Ghisu, F Llinares-López… - … and Trends® in …, 2020 - nowpublishers.com
Graph-structured data are an integral part of many application domains, including
chemoinformatics, computational biology, neuroimaging, and social network analysis. Over …

BrainIAK: the brain imaging analysis kit

M Kumar, MJ Anderson, JW Antony… - Aperture …, 2022 - pmc.ncbi.nlm.nih.gov
Functional magnetic resonance imaging (fMRI) offers a rich source of data for studying the
neural basis of cognition. Here, we describe the Brain Imaging Analysis Kit (BrainIAK), an …

A hands-on tutorial on network and topological neuroscience

EGZ Centeno, G Moreni, C Vriend, L Douw… - Brain Structure and …, 2022 - Springer
The brain is an extraordinarily complex system that facilitates the optimal integration of
information from different regions to execute its functions. With the recent advances in …

Simplicial -Connectivity of Directed Graphs with Applications to Network Analysis

H Riihimäki - SIAM Journal on Mathematics of Data Science, 2023 - SIAM
Directed graphs are ubiquitous models for networks, and topological spaces they generate,
such as the directed flag complex, have become useful objects in applied topology. Here the …

Voevodsky's unfinished project: Filling the gap between pure and applied mathematics

A Rodin - Biosystems, 2021 - Elsevier
In a series of lectures given in 2003, soon after receiving the Fields Medal for his results in
the Algebraic Geometry, Vladimir Voevodsky (1966–2017) identifies two strategic goals for …

[HTML][HTML] Beyond topological persistence: Starting from networks

MG Bergomi, M Ferri, P Vertechi, L Zuffi - Mathematics, 2021 - mdpi.com
Persistent homology enables fast and computable comparison of topological objects. We
give some instances of a recent extension of the theory of persistence, guaranteeing …