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[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
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 …
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
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 …
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
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 …
images collected during focused attention and open monitoring meditation before and after …
Graph kernels: State-of-the-art and future challenges
Graph-structured data are an integral part of many application domains, including
chemoinformatics, computational biology, neuroimaging, and social network analysis. Over …
chemoinformatics, computational biology, neuroimaging, and social network analysis. Over …
BrainIAK: the brain imaging analysis kit
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 …
neural basis of cognition. Here, we describe the Brain Imaging Analysis Kit (BrainIAK), an …
A hands-on tutorial on network and topological neuroscience
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 …
information from different regions to execute its functions. With the recent advances in …
Topological data analysis reveals robust alterations in the whole-brain and frontal lobe functional connectomes in attention-deficit/hyperactivity disorder
Attention-deficit/hyperactivity disorder (ADHD) is a developmental disorder characterized by
difficulty to control the own behavior. Neuroimaging studies have related ADHD with the …
difficulty to control the own behavior. Neuroimaging studies have related ADHD with the …
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 …
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 …
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 …
give some instances of a recent extension of the theory of persistence, guaranteeing …