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Learning the effective order of a hypergraph dynamical system

https://doi.org/10.1126/sciadv.adh4053
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-030-87473-5_23openalex-snapshot
Opinion Dynamics with Multi-body Interactions
inferredcites →https://doi.org/10.1007/978-3-030-91374-8_14openalex-snapshot
Consensus Dynamics and Opinion Formation on Hypergraphs
inferredcites →https://doi.org/10.1007/978-3-319-49787-7_12openalex-snapshot
Subgraphs in Non-uniform Random Hypergraphs
inferredcites →https://doi.org/10.1007/978-3-642-69689-3openalex-snapshot
Chemical Oscillations, Waves, and Turbulence
inferredcites →https://doi.org/10.1007/s11538-016-0158-0openalex-snapshot
SIS Epidemic Propagation on Hypergraphs
inferredcites →https://doi.org/10.1016/j.physrep.2020.05.004openalex-snapshot
Networks beyond pairwise interactions: Structure and dynamics
inferredcites →https://doi.org/10.1016/j.pneurobio.2013.12.005openalex-snapshot
Exploring the network dynamics underlying brain activity during rest
inferredcites →https://doi.org/10.1038/s41467-019-10431-6openalex-snapshot
Simplicial models of social contagion
inferredcites →https://doi.org/10.1038/s42005-020-00485-0openalex-snapshot
Higher order interactions in complex networks of phase oscillators promote abrupt synchronization switching
inferredcites →https://doi.org/10.1063/5.0020034openalex-snapshot
The effect of heterogeneity on hypergraph contagion models
inferredcites →https://doi.org/10.1063/5.0116747openalex-snapshot
Synchronization of phase oscillators on complex hypergraphs
inferredcites →https://doi.org/10.1073/pnas.0609476104openalex-snapshot
Automated reverse engineering of nonlinear dynamical systems
inferredcites →https://doi.org/10.1073/pnas.1517384113openalex-snapshot
Discovering governing equations from data by sparse identification of nonlinear dynamical systems
inferredcites →https://doi.org/10.1088/2632-072x/abcea3openalex-snapshot
Modelling non-linear consensus dynamics on hypergraphs
inferredcites →https://doi.org/10.1098/rsif.2022.0043openalex-snapshot
Dynamics on higher-order networks: a review
inferredcites →https://doi.org/10.1098/rspa.2021.0232openalex-snapshot
Epidemics on hypergraphs: spectral thresholds for extinction
inferredcites →https://doi.org/10.1103/physreve.101.022308openalex-snapshot
Random walks on hypergraphs
inferredcites →https://doi.org/10.1103/physreve.101.032310openalex-snapshot
Multibody interactions and nonlinear consensus dynamics on networked systems
inferredcites →https://doi.org/10.1103/physrevresearch.2.023032openalex-snapshot
Social contagion models on hypergraphs
inferredcites →https://doi.org/10.1103/physrevresearch.2.033410openalex-snapshot
Multiorder Laplacian for synchronization in higher-order networks
inferredcites →https://doi.org/10.1103/revmodphys.89.045001openalex-snapshot
Coupling functions: Universal insights into dynamical interaction mechanisms
inferredcites →https://doi.org/10.1109/ecc.2015.7330758openalex-snapshot
A simple proof of the continuous time linear consensus problem with applications in non-linear flocking networks
inferredcites →https://doi.org/10.1109/isbi48211.2021.9434036openalex-snapshot
Colorectal Cancer Tissue Classification Using Semi-Supervised Hypergraph Convolutional Network
inferredcites →https://doi.org/10.1109/tip.2021.3082765openalex-snapshot
Multi-Scale Representation Learning on Hypergraph for 3D Shape Retrieval and Recognition
inferredcites →https://doi.org/10.1109/tmbmc.2016.2633265openalex-snapshot
Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics
inferredcites →https://doi.org/10.1126/sciadv.abh1303openalex-snapshot
Generative hypergraph clustering: From blockmodels to modularity
inferredcites →https://doi.org/10.1126/science.1165893openalex-snapshot
Distilling Free-Form Natural Laws from Experimental Data
inferredcites →https://doi.org/10.1137/20m1321048openalex-snapshot
Hypergraph Cuts with General Splitting Functions
inferredcites →https://doi.org/10.1137/21m1399427openalex-snapshot
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs
inferredcites →https://doi.org/10.1137/22m1480926openalex-snapshot
Core-Periphery Detection in Hypergraphs
inferredcites →https://doi.org/10.1145/1143844.1143847openalex-snapshot
Higher order learning with graphs
inferredcites →https://doi.org/10.1145/1401890.1401971openalex-snapshot
Hypergraph spectral learning for multi-label classification
inferredcites →https://doi.org/10.1145/3394486.3403132openalex-snapshot
Neural Dynamics on Complex Networks
inferredcites →https://doi.org/10.1145/3442381.3449887openalex-snapshot
Strongly Local Hypergraph Diffusions for Clustering and Semi-supervised Learning
inferredcites →https://doi.org/10.1145/3457949openalex-snapshot
Hierarchical Hyperedge Embedding-Based Representation Learning for Group Recommendation
inferredcites →https://doi.org/10.13140/rg.2.2.10317.59361openalex-snapshot
Graph Neural Ordinary Differential Equations
inferredcites →https://doi.org/10.1371/journal.pone.0136497openalex-snapshot
Contact Patterns in a High School: A Comparison between Data Collected Using Wearable Sensors, Contact Diaries and Friendship Surveys
inferredcites →https://doi.org/10.21105/joss.05162openalex-snapshot
XGI: A Python package for higher-order interaction networks
inferredcites →https://doi.org/10.24963/ijcai.2020/109openalex-snapshot
Semi-Dynamic Hypergraph Neural Network for 3D Pose Estimation
inferredcites →https://doi.org/10.48550/arxiv.1806.07366openalex-snapshot
Neural Ordinary Differential Equations
inferredcites →https://doi.org/10.48550/arxiv.1905.08287openalex-snapshot
Random Walks on Hypergraphs with Edge-Dependent Vertex Weights
inferredcites →https://doi.org/10.48550/arxiv.2102.07945openalex-snapshot
Local Hyper-Flow Diffusion

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4708802openalex-extracted
Beyond Pairwise Network Interactions: Implications for Information Centrality
inferred← citeshttps://doi.org/10.1016/j.chaos.2026.119249openalex-snapshot
Higher-order interactions control the self-sustained activity in neural systems
inferred← citeshttps://doi.org/10.1016/j.engappai.2025.113035openalex-snapshot
Graph Neural Networks Based Analog Circuit Link Prediction
inferred← citeshttps://doi.org/10.1016/j.inffus.2025.103016openalex-snapshot
DHHNN: A Dynamic Hypergraph Hyperbolic Neural Network based on variational autoencoder for multimodal data integration and node classification
inferred← citeshttps://doi.org/10.1038/s41467-025-57664-2openalex-snapshot
Hypergraph reconstruction from dynamics
inferred← citeshttps://doi.org/10.1038/s41467-025-68273-4openalex-snapshot
Reducibility of higher-order networks from dynamics
inferred← citeshttps://doi.org/10.1038/s41562-025-02373-5openalex-snapshot
Higher-order interactions shape collective human behaviour
inferred← citeshttps://doi.org/10.1038/s42005-025-02467-6openalex-snapshot
Distinguishing pairwise and higher-order interactions in coupled oscillators from time series
inferred← citeshttps://doi.org/10.1038/s42254-024-00733-0openalex-snapshot
Contagion dynamics on higher-order networks
inferred← citeshttps://doi.org/10.1038/s42254-025-00916-3openalex-snapshot
Collective dynamics on higher-order networks
inferred← citeshttps://doi.org/10.1063/5.0295512openalex-snapshot
Extensive multistability and scalings in coupled phase oscillators with pairwise or non-pairwise interactions
inferred← citeshttps://doi.org/10.1063/5.0318179openalex-snapshot
Inference of the size of nonlinear network systems from perceptible dynamics
inferred← citeshttps://doi.org/10.1088/2632-072x/ad0b39openalex-snapshot
Encapsulation structure and dynamics in hypergraphs
inferred← citeshttps://doi.org/10.1098/rstb.2023.0190openalex-snapshot
Not your private tête-à-tête: leveraging the power of higher-order networks to study animal communication
inferred← citeshttps://doi.org/10.3390/e25111555openalex-snapshot
Connectivity of Random Geometric Hypergraphs
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