Higher-Order Hodge Laplacians for Processing of multi-way Signals

Project Information

HIGH-HOPeS

Grant agreement ID: 101039827

DOI

10.3030/101039827

EC signature date 11 February 2022

Start date 1 January 2023

End date 31 December 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 500 000,00

EU contribution

€ 1 500 000,00

Coordinated by

RHEINISCH-WESTFAELISCHE TECHNISCHE HOCHSCHULE AACHEN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (9)

Representing Edge Flows on Graphs via Sparse Cell Complexes

Author(s): Hoppe, Josef; Schaub, Michael Thomas
Published in: Proceedings of the Second Learning on Graphs Conference, 2023
Publisher: PMLR
DOI: 10.48550/arxiv.2309.01632

Graph Neural Networks Do Not Always Oversmooth

Author(s): Bastian Epping, Alexandre René, Moritz Helias, Michael T. Schaub
Published in: Conference on Neural Information Processing Systems (NeurIPS 2024), 2024
Publisher: Curran Associates

Position: Topological Deep Learning is the New Frontier for Relational Learning

Author(s): Theodore Papamarkou, Tolga Birdal, Michael Bronstein, Gunnar Carlsson, Justin Curry, Yue Gao, Mustafa Hajij, Roland Kwitt, Pietro Liò, Paolo Di Lorenzo, Vasileios Maroulas, Nina Miolane, Farzana Nasrin, Karthikeyan Natesan Ramamurthy, Bastian Rieck, Simon
Published in: Proceedings of the 41st International Conference on Machine Learning (ICML 2024), Vienna, Austria, 2024, ISBN 39529-39555
Publisher: JMLR

Disentangling the Spectral Properties of the Hodge Laplacian: not all small Eigenvalues are Equal

Author(s): Grande, Vincent Peter; Schaub, Michael Thomas
Published in: ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2024, ISSN 2379-190X
Publisher: IEEE
DOI: 10.48550/arxiv.2311.14427

Topological Point Cloud Clustering

Author(s): Grande, Vincent Peter; Schaub, Michael Thomas
Published in: Proceedings of the 40th International Conference on Machine Learning. International Conference on Machine Learning, ICML 2023, Honolulu, USA, 2023
Publisher: PMLR
DOI: 10.48550/arxiv.2303.16716

Non-isotropic Persistent Homology: Leveraging the Metric Dependency of PH

Author(s): Grande, Vincent P.; Schaub, Michael T.
Published in: Proceedings of the Second Learning on Graphs Conference, 2023
Publisher: PMLR
DOI: 10.48550/arxiv.2310.16437

Learning From Simplicial Data Based on Random Walks and 1D Convolutions

Author(s): Florian Frantzen, Michael T Schaub
Published in: International Conference on Learning Representations, 2024
Publisher: PMLR
DOI: 10.48550/arXiv.2404.03434

Combinatorial Complexes: Bridging the Gap Between Cell Complexes and Hypergraphs

Author(s): Hajij, Mustafa; Zamzmi, Ghada; Papamarkou, Theodore; Guzmán-Sáenz, Aldo; Birdal, Tolga; Schaub, Michael T.
Published in: 57th Asilomar Conference on Signals, Systems, and Computers, 2023
Publisher: IEEE
DOI: 10.48550/arxiv.2312.09504

Topological Trajectory Classification and Landmark Inference on Simplicial Complexes

Author(s): Vincent P. Grande, Josef Hoppe, Florian Frantzen, Michael T. Schaub
Published in: 58th Annual Asilomar Conference on Signals, Systems, and Computers 2024, 2024
Publisher: IEEE
DOI: 10.48550/arXiv.2412.03145

Peer reviewed articles (2)

Learning the effective order of a hypergraph dynamical system

Author(s): Neuhäuser, Leonie Lisa; Scholkemper, Michael; Tudisco, Francesco; Schaub, Michael Thomas
Published in: Science Advances, 2024, ISSN 2375-2548
Publisher: AAAS
DOI: 10.48550/ARXIV.2306.01813

TopoX: A Suite of Python Packages for Machine Learning on Topological Domains

Author(s): Mustafa Hajij, Mathilde Papillon, Florian Frantzen, Jens Agerberg, Ibrahem AlJabea, Rubén Ballester, Claudio Battiloro, Guillermo Bernárdez, Tolga Birdal, Aiden Brent, Peter Chin, Sergio Escalera, Simone Fiorellino, Odin Hoff Gardaa, Gurusankar Gopalakris
Published in: Journal of Machine Learning Research (JMLR), 2024, ISSN 1533-7928
Publisher: JMLR
DOI: 10.48550/arXiv.2402.02441

Other (3)

Random Abstract Cell Complexes

Author(s): Josef Hoppe, Michael T. Schaub
Published in: 2024
Publisher: n/a
DOI: 10.48550/arXiv.2406.01999

Topological Deep Learning: Going Beyond Graph Data

Author(s): Hajij, Mustafa; Zamzmi, Ghada; Papamarkou, Theodore; Miolane, Nina; Guzmán-Sáenz, Aldo; Ramamurthy, Karthikeyan Natesan; Birdal, Tolga; Dey, Tamal K.; Mukherjee, Soham; Samaga, Shreyas N.; Livesay, Neal; Walters, Robin; Rosen, Paul; Schaub, Michael T.
Published in: 2022
Publisher: n/a
DOI: 10.48550/arxiv.2206.00606

Point-Level Topological Representation Learning on Point Clouds

Author(s): Vincent P. Grande, Michael T. Schaub
Published in: 2024
Publisher: n/a
DOI: 10.48550/arXiv.2406.02300