A tensor framework for learning in structured domains
Sign Up to like & getrecommendations! Published in 2021 at "Neurocomputing"
DOI: 10.1016/j.neucom.2021.05.110
Abstract: Abstract Learning machines for structured data (e.g., trees) are intrinsically based on their capacity to learn representations by aggregating information from the multi-way relationships emerging from the structure topology. While complex aggregation functions are desirable… read more here.
Keywords: framework learning; learning structured; framework; structured domains ... See more keywords
Order and interactions in DNA arrays: Multiscale molecular dynamics simulation
Sign Up to like & getrecommendations! Published in 2017 at "Scientific Reports"
DOI: 10.1038/s41598-017-05109-2
Abstract: While densely packed DNA arrays are known to exhibit hexagonal and orthorhombic local packings, the detailed mechanism governing the associated phase transition remains rather elusive. Furthermore, at high densities the atomistic resolution is paramount to… read more here.
Keywords: order interactions; dna arrays; dna; simulation ... See more keywords
Intraspecific higher order interactions enhance ecological community stability
Sign Up to like & getrecommendations! Published in 2025 at "Scientific Reports"
DOI: 10.1038/s41598-025-15320-1
Abstract: Ecosystem stability is influenced by interspecific interactions, with recent research focusing on how third-party species modify these interactions. However, the impact of "intraspecific higher-order interactions," where the presence of one species affects intraspecific interactions within… read more here.
Keywords: order interactions; higher order; stability; intraspecific higher ... See more keywords
Detecting informative higher-order interactions in statistically validated hypergraphs
Sign Up to like & getrecommendations! Published in 2021 at "Communications Physics"
DOI: 10.1038/s42005-021-00710-4
Abstract: Recent empirical evidence has shown that in many real-world systems, successfully represented as networks, interactions are not limited to dyads, but often involve three or more agents at a time. These data are better described… read more here.
Keywords: order; statistically validated; validated hypergraphs; order interactions ... See more keywords
Unveiling the role of higher-order interactions via stepwise reduction
Sign Up to like & getrecommendations! Published in 2024 at "Communications Physics"
DOI: 10.1038/s42005-025-02157-3
Abstract: Complex systems usually feature interactions not only between pairwise entities but also among three or more entities. Hypergraph can effectively characterize these higher-order interactions. Meanwhile, all higher-order interactions can also be projected onto a number… read more here.
Keywords: order interactions; higher order; role higher; unveiling role ... See more keywords
Combined higher-order interactions of mixed symmetry on the sphere.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0079696
Abstract: We consider systems of N particles interacting on the unit sphere in d-dimensional space with dynamics defined as the gradient flow of rotationally invariant potentials. The Kuramoto model on the sphere is a well-studied example… read more here.
Keywords: combined higher; higher order; interactions mixed; mixed symmetry ... See more keywords
Synchronization in Hindmarsh-Rose neurons subject to higher-order interactions.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0079834
Abstract: Higher-order interactions might play a significant role in the collective dynamics of the brain. With this motivation, we here consider a simplicial complex of neurons, in particular, studying the effects of pairwise and three-body interactions… read more here.
Keywords: synchronization hindmarsh; higher order; hindmarsh rose; order interactions ... See more keywords
Multistability in coupled oscillator systems with higher-order interactions and community structure.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0106906
Abstract: We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by either… read more here.
Keywords: order interactions; higher order; interactions community; community structure ... See more keywords
Dimension reduction in higher-order contagious phenomena.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0152959
Abstract: We investigate epidemic spreading in a deterministic susceptible-infected-susceptible model on uncorrelated heterogeneous networks with higher-order interactions. We provide a recipe for the construction of one-dimensional reduced model (resilience function) of the N-dimensional susceptible-infected-susceptible dynamics in… read more here.
Keywords: dimension reduction; order interactions; higher order; order ... See more keywords
Effect of higher-order interactions on chimera states in two populations of Kuramoto oscillators.
Sign Up to like & getrecommendations! Published in 2024 at "Chaos"
DOI: 10.1063/5.0181279
Abstract: We investigate the effect of the fraction of pairwise and higher-order interactions on the emergent dynamics of the two populations of globally coupled Kuramoto oscillators with phase-lag parameters. We find that the stable chimera exists… read more here.
Keywords: order interactions; higher order; two populations; chimera ... See more keywords
Epidemic spreading on spatial higher-order network.
Sign Up to like & getrecommendations! Published in 2024 at "Chaos"
DOI: 10.1063/5.0219759
Abstract: Higher-order interactions exist widely in mobile populations and are extremely important in spreading epidemics, such as influenza. However, research on high-order interaction modeling of mobile crowds and the propagation dynamics above is still insufficient. Therefore,… read more here.
Keywords: order interactions; higher order; order network; high order ... See more keywords