What are higher-order networks?

Cites (316)

Items 201–304 of 304

1. Hypergraph-Based Anomaly Detection of High-Dimensional Co-Occurrences
   J. Silva, Rebecca M. Willett · 2008 · IEEE Transactions on Pattern Analysis and Machine Intelligence
2. Stratifying Multiparameter Persistent Homology
   Heather A. Harrington, Nina Otter, Hal Schenck, Ulrike Tillmann · 2019 · SIAM Journal on Applied Algebra and Geometry
3. Heteroclinic switching between chimeras
   Christian Bick · 2018 · Physical review. E
4. Topological Time Series Analysis
   José A. Perea · 2019 · Notices of the American Mathematical Society
5. Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling
   Maxim Komarov, ARKADY S. PIKOVSKY · 2015 · Physical Review E
6. Proceedings of the 17th International Symposium on the Mathematical Theory of Networks and Systems
   Hendrikus Trentelman, Kees Praagman, Ricardo Zavala Yoé · 2006
7. Exponential random simplicial complexes
   Zuev, Konstantin, Eisenberg, Or, Krioukov, Dmitri · 2015 · Journal of Physics A: Mathematical and Theoretical
8. Spectral detection on sparse hypergraphs
   Maria Chiara Angelini, Francesco Caltagirone, Florent Krząkała, Lenka Zdeborová · 2015 · Allerton Conference on Communication, Control, and Computing
9. Matroid Filtrations and Computational Persistent Homology
   Henselman, Gregory, Robert Ghrist · 2016 · arXiv (Cornell University)
10. HodgeNet: Graph Neural Networks for Edge Data
    T. Mitchell Roddenberry, Santiago Segarra · 2019 · Asilomar Conference on Signals, Systems and Computers (ACSSC)
11. Tight Hamilton cycles in random uniform hypergraphs
    Andrzej Dudek, ALAN M. FRIEZE · 2012 · Random Structures and Algorithms
12. Community Detection in Hypergraphs: Optimal Statistical Limit and Efficient Algorithms
    Eli Chien, Chung‐Yi Lin, I-Hsiang Wang · 2018 · International Conference on Artificial Intelligence and Statistics
13. The embedded homology of hypergraphs and applications
    Stéphane Bressan, Jingyan Li, Shiquan Ren, Jie Wu · 2019 · Asian Journal of Mathematics
14. Large random simplicial complexes, I
    A. Costa, Michael Färber · 2015 · Journal of Topology and Analysis
15. Topological Signal Processing: Making Sense of Data Building on Multiway Relations
    Sergio Barbarossa, Stefania Sardellitti · 2020 · IEEE Signal Processing Magazine
16. Simplicial Convolutional Filters
    Maosheng Yang, Elvin Isufi, Michael T. Schaub, Geert J. T. Leus · 2022 · IEEE Transactions on Signal Processing
17. An introduction to hypergraph signal processing
    Sergio Barbarossa, Mikhail Tsitsvero · 2016 · IEEE International Conference on Acoustics Speech and Signal Processing
18. Community detection in hypergraphs, spiked tensor models, and Sum-of-Squares
    Chiheon Kim, Afonso S. Bandeira, Michel X. Goemans · 2017 · International Conference on Sampling Theory and Applications
19. Modularity and Dynamics on Complex Networks
    Renaud Lambiotte, Michael T. Schaub · 2021 · Cambridge University Press eBooks
20. First-order synchronization transition in a large population of strongly coupled relaxation oscillators
    Dumitru Călugăru, Jan Frederik Totz, Erik A. Martens, Harald Engel · 2020 · Science Advances
21. Building models for social space: neighourhood-based models for social networks and affiliation structures
    Philippa Eleanor Pattison, Garry L. Robins · 2004 · Mathématiques et sciences humaines
22. Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
    John T. Nardini, Bernadette J. Stolz, Kevin Flores, Heather A. Harrington, Helen Mary Byrne · 2021 · PLoS Computational Biology
23. Finding hypergraph communities: a Bayesian approach and variational solution
    Alexei Vázquez · 2009 · Journal of Statistical Mechanics Theory and Experiment
24. Computing connectedness: An exercise in computational topology
    Vanessa Robins, James D. Meiss, Elizabeth Bradley · 1998 · Nonlinearity
25. A hypergraph model for representing scientific output
    Rodica Ioana Lung, Noémi Gaskó, Mihai Suciu · 2018 · Scientometrics
26. Center Manifolds of Coupled Cell Networks
    Eddie Nijholt, Bob Rink, Jan A. Sanders · 2017 · SIAM Journal on Mathematical Analysis
27. Finite Impulse Response Filters for Simplicial Complexes
    Maosheng Yang, Elvin Isufi, Michael T. Schaub, Geert J. T. Leus · 2021 · European Signal Processing Conference (EUSIPCO)
28. Computing Multidimensional Persistence
    Gunnar Carlsson, Singh, Gurjeet, Afra Joze Zomorodian · 2009 · arXiv (Cornell University)
29. Signal Processing On Cell Complexes
    T. Mitchell Roddenberry, Michael T. Schaub, Mustafa Hajij · 2022 · IEEE International Conference on Acoustics Speech and Signal Processing
30. The higher-order spectrum of simplicial complexes: a renormalization group approach
    Marcus Reitz, Ginestra Bianconi A · 2020 · Journal of Physics A Mathematical and Theoretical
31. Synchronization and equitable partitions in weighted networks
    Manuela Aguiar, Ana Paula S. Dias · 2018 · Chaos An Interdisciplinary Journal of Nonlinear Science
32. Large random simplicial complexes, III the critical dimension
    A. Costa, Michael Färber · 2016 · Journal of Knot Theory and Its Ramifications
33. Spatiotemporal Persistent Homology for Dynamic Metric Spaces
    Woojin Kim, Facundo Mémoli · 2020 · Discrete & Computational Geometry
34. Powers of Hamilton cycles in random graphs and tight Hamilton cycles in random hypergraphs
    Rajko Nenadov, Nemanja Škorić · 2018 · Random Structures and Algorithms
35. Signal Processing on Simplicial Complexes
    Michael T. Schaub, Jean-Baptiste Seby, Florian Frantzen, T. Mitchell Roddenberry, Yu Zhu, Santiago Segarra · 2022 · Understanding complex systems
36. Chimera states in small optomechanical arrays
    Karl Pelka, Vittorio Peano, André Xuereb · 2020 · Physical Review Research
37. LEARNING FROM SIGNALS DEFINED OVER SIMPLICIAL COMPLEXES
    Sergio Barbarossa, Stefania Sardellitti, Elena Ceci · 2018 · IEEE Data Science Workshop (DSW)
38. Heteroclinic Dynamics of Localized Frequency Synchrony: Heteroclinic Cycles for Small Populations
    Christian Bick · 2019 · Journal of Nonlinear Science
39. Local topological moves determine global diffusion properties of hyperbolic higher-order networks
    Ana P. Millán, Reza Ghorbanchian, Nicolò Defenu, Federico Battiston, Ginestra Bianconi · 2021 · Physical review. E
40. Integral Homology of Random Simplicial Complexes
    Tomasz Łuczak, Yuval Peled · 2017 · Discrete & Computational Geometry
41. Non-Additive Coupling Enables Propagation of Synchronous Spiking Activity in Purely Random Networks
    Raoul-Martin Memmesheimer, Marc Timme · 2012 · PLoS Computational Biology
42. Computing multiparameter persistent homology through a discrete Morse-based approach
    Sara Scaramuccia, Federico Iuricich, Leila De Floriani, Claudia Landi · 2020 · Computational Geometry
43. Applications of Persistent Homology to Time Varying Systems
    Elizabeth Munch · 2013 · DukeSpace (Duke University)
44. Large random simplicial complexes, II; the fundamental group
    A. Costa, Michael Färber · 2016 · Journal of Topology and Analysis
45. simpcomp
    Felix Effenberger, Jonathan Spreer · 2011 · ACM communications in computer algebra
46. Mean Field Analysis of Hypergraph Contagion Models
    Desmond John Higham, Henry‐Louis de Kergorlay · 2022 · SIAM Journal on Applied Mathematics
47. $β$ models for random hypergraphs with a given degree sequence
    Despina Stasi, Kayvan Sadeghi, Rinaldo, Alessandro, Sonja Petrović, Fienberg, Stephen E. · 2014 · arXiv (Cornell University)
48. Population stratification using a statistical model on hypergraphs
    Alexei Vázquez · 2008 · Physical Review E
49. Edge-based analysis of networks: curvatures of graphs and hypergraphs
    Marzieh Eidi, Amirhossein Farzam, Wilmer Leal, Areejit Samal, Jürgen Jost · 2020 · Theory in Biosciences
50. Asynchronous networks and event driven dynamics
    Christian Bick, Michael Field · 2017 · Nonlinearity
51. Data structures for real multiparameter persistence modules
    Ezra Miller · 2017 · arXiv (Cornell University)
52. A Brief History of Persistence
    José A. Perea · 2018 · arXiv (Cornell University)
53. Cycle Registration in Persistent Homology With Applications in Topological Bootstrap
    Yohai Reani, Omer Bobrowski · 2022 · IEEE Transactions on Pattern Analysis and Machine Intelligence
54. Enlarged Kuramoto model: Secondary instability and transition to collective chaos
    Iván León, Diego Pazó · 2022 · Physical review. E
55. Simplex2Vec embeddings for community detection in simplicial complexes
    Jacob Billings, Mirko Hu, Giulia Lerda, Medvedev, Alexey N., Francesco Mottes, Adrian I. Onicas, Santoro, Andrea, Giovanni Petri · 2019 · arXiv (Cornell University)
56. Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data
    Austin R. Benson, David F. Gleich, Desmond John Higham · 2021 · arXiv (Cornell University)
57. What is the length of a potato?
    Stephen H. Schanuel · 1986 · Lecture notes in mathematics
58. Persistent Homology Based Characterization of the Breast Cancer Immune Microenvironment: A Feasibility Study
    Andrew T. Aukerman, Mathieu Carrière, Chao Chen, Kevin L Gardner, Raúl Rabadán, R. Vanguri · 2020 · Journal of computational geometry
59. Heteroclinic Dynamics of Localized Frequency Synchrony: Stability of Heteroclinic Cycles and Networks
    Christian Bick, Alexander Lohse · 2019 · Journal of Nonlinear Science
60. Fast Minimal Presentations of Bi-graded Persistence Modules
    Michael Kerber, Alexander Rolle · 2021 · Society for Industrial and Applied Mathematics eBooks
61. Robust autoassociative memory with coupled networks of Kuramoto-type oscillators
    Daniel Heger, Katharina Krischer · 2016 · Physical review. E
62. Simplicial 2-Complex Convolutional Neural Nets
    Eric Bunch, Qian You, Glenn Fung, Vikas Singh · 2020 · arXiv (Cornell University)
63. Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
    Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh · 2020 · Algorithms
64. Model comparison via simplicial complexes and persistent homology
    Sean T. Vittadello, Michael P. H. Stumpf · 2021 · Royal Society Open Science
65. Goodness of fit for log-linear network models: dynamic Markov bases using hypergraphs
    Elizabeth L. Gross, Sonja Petrović, Despina Stasi · 2016 · Annals of the Institute of Statistical Mathematics
66. Statistical models for cores decomposition of an undirected random graph
    Vishesh Karwa, Michael J. Pelsmajer, Sonja Petrović, Despina Stasi, Dane Wilburne · 2017 · Electronic Journal of Statistics
67. Hunting for Foxes with Sheaves
    Michael Robinson · 2019 · Notices of the American Mathematical Society
68. Homology of Multi-Parameter Random Simplicial Complexes
    Christopher F. Fowler · 2019 · Discrete & Computational Geometry
69. An Efficient Algorithm for 1-Dimensional (Persistent) Path Homology
    Tamal K. Dey, Tianqi Li, Yusu Wang · 2022 · Discrete & Computational Geometry
70. Opinion Dynamics with Multi-body Interactions
    Leonie Neuhäuser, Michael T. Schaub, Andrew Mellor, Renaud Lambiotte · 2021 · Communications in computer and information science
71. Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony
    Manuela Aguiar, Christian Bick, Ana Paula S. Dias · 2023 · Nonlinearity
72. Reorderability of node-filtered order complexes
    Ann E. Sizemore, Danielle S. Bassett · 2020 · Physical review. E
73. Analysis of Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence
    Woojin Kim, Facundo Mémoli, Zane Smith · 2020 · Abel symposia
74. Imbalanced Hypergraph Partitioning and Improvements for Consensus Clustering
    John Robert Yaros, Tomasz Imieliński · 2013 · IEEE International Conference on Tools with Artificial Intelligence (ICTAI)
75. Persistent and Zigzag Homology: A Matrix Factorization Viewpoint
    Gunnar Carlsson, Dwaraknath, Anjan, Bradley J. Nelson · 2019 · arXiv (Cornell University)
76. Vanishing of cohomology groups of random simplicial complexes
    Oliver Cooley, Nicola Del Giudice, Mihyun Kang, Philipp Sprüssel · 2019 · Random Structures and Algorithms
77. A Dirac-type Theorem for Berge Cycles in Random Hypergraphs
    Dennis Clemens, Julia Ehrenmüller, Yury Person · 2020 · The Electronic Journal of Combinatorics
78. Topology in Biology
    Ann S. Blevins, Danielle S. Bassett · 2020 · Springer eBooks
79. Topics of Stochastic Algebraic Topology
    A. Costa, Michael Färber, Thomas Kappeler · 2012 · Electronic Notes in Theoretical Computer Science
80. A Survey of Topological Data Analysis (TDA) Methods Implemented in Python
    Jeffrey Scott Ray, Marcello Trovati · 2017 · Lecture notes on data engineering and communications technologies
81. Discussion of “Coauthorship and citation networks for statisticians”
    Vishesh Karwa, Sonja Petrović · 2016 · The Annals of Applied Statistics
82. Stable Signatures for Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence
    Woojin Kim, Facundo Mémoli · 2017 · arXiv (Cornell University)
83. Weighted Path homology of Weighted Digraphs and Persistence
    Yong Lin, Shiquan Ren, Chong Wang, Jie Wu · 2019 · arXiv (Cornell University)
84. Prediction in Cancer Genomics Using Topological Signatures and Machine Learning
    G. Montero González, Arina Ushakova, Radmila Sazdanović, Javier Arsuaga · 2020 · Abel symposia
85. Multiscale Topology Characterises Dynamic Tumour Vascular Networks
    Bernadette J. Stolz, Jakob Kaeppler, Boštjan Markelc, Franziska Mech, Florian Lipsmeier, Ruth J. Muschel, Helen Mary Byrne, Heather A. Harrington · 2020 · arXiv (Cornell University)
86. Persistent homology for hypergraphs and computational tools — A survey for users
    Shiquan Ren · 2020 · Journal of Knot Theory and Its Ramifications
87. Generalized Random Simplicial Complexes
    Christopher F. Fowler · 2015 · arXiv (Cornell University)
88. Random simplicial complexes in the medial regime
    Michael Färber, Lewis Mead · 2020 · Topology and its Applications
89. k-simplex2vec: a simplicial extension of node2vec
    Celia Hacker · 2020 · arXiv (Cornell University)
90. Open Problems in Computational Topology
    William I. Gasarch, Brittany Terese Fasy, Bei Wang · 2017 · ACM SIGACT News
91. Capturing Dynamics of Time-Varying Data via Topology
    Lu Xian, Henry Adams, Chad M. Topaz, Lori Ziegelmeier · 2020 · arXiv (Cornell University)
92. Global and local persistent homology for the shape and classification of biological data
    Bernadette J. Stolz · 2019 · Oxford University Research Archive (ORA) (University of Oxford)
93. Topological Summaries of Tumor Images Improve Prediction of Disease Free Survival in Glioblastoma Multiforme
    Lorin A. Crawford, Anthea Monod, Andrew Chen, Sayan Mukherjee, Raúl Rabadán · 2016 · arXiv (Cornell University)
94. Topological Adventures in Neuroscience
    Kathryn P. Hess · 2020 · Abel symposia
95. Hamiltonian Berge cycles in random hypergraphs
    Deepak Bal, Ross Berkowitz, Pat Devlin, Mathias Schacht · 2020 · Combinatorics Probability Computing
96. Topology Characterises Tumour Vasculature
    Helen Mary Byrne, Heather A. Harrington, Ruth J. Muschel, Gesine Reinert, Bernadette J. Stolz, Ulrike Tillmann · 2019
97. Image analysis for Alzheimer's disease prediction: Embracing pathological hallmarks for model architecture design
    Sarah C. Brüningk, Felix Hensel, Catherine R. Jutzeler, Bastian Rieck · 2020 · arXiv (Cornell University)
98. Path Homology and Temporal Networks
    Samir Chowdhury, Steve Huntsman, Matvey Yutin · 2021 · Studies in computational intelligence
99. HOGMep: Variational Bayes and higher-order graphical models applied to joint image recovery and segmentation
    Aurélie Pirayre, Yuling Zheng, Laurent C. Duval, J.-C. Pesquet · 2017 · Proceedings - International Conference on Image Processing
100. Community Detection in Hypergraphs
     Nicolas Neubauer · 2012 · DepositOnce
101. Statistics of geometric random simplicial complexes
     Eduardo Ferraz, Anaïs Vergne · 2011 · HAL
102. Topology in Biology
     Ann S. Blevins, Danielle S. Bassett · 2021 · Springer eBooks
103. Inferring Network Controls from Topology Using the Chomp Database
     John Harer, Konstantin Mischaikow, Sayan Mukherjee · 2015
104. The American Mathematical Society
     F. N. Cole · 1914 · Science