HOOC - Higher Order Opportunities and Challenges

We are happy to announce the HOOC workshop on higher-order networks.

Network analysis has revolutionized our understanding of complex systems, and graph-based methods have emerged as powerful tools to process signals on non-Euclidean domains via graph signal processing and graph neural networks. However, graphs are ill-equipped to encode multi-way and higher-order relations – features that are essential to understanding many systems such as group-dynamics in social systems, multi-gene interactions in genetic data, or multi-way drug interactions.

Accordingly, there is a need for new analytical methods to address the challenges of higher-order data, and a growing body of work in this direction. With this workshop, we especially want to explore current challenges which arise when bridging theory and data. This means on the one hand discussing what higher-order methods have already been used with real-world data, and on the other hand, what challenges currently prevent modelling systems with higher-order interactions.

The workshop will take place from the 11th to the 13th of August 2025.
We look forward to welcoming you in Aachen, Germany!

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Banner image - About

About

Aachen is a small historical city, where most places can be reached by foot. Our meetings will take on the top floor of the Super C building pictured above (Templergraben 57, 52062 Aachen, Germany).

Registration is free of charge, with the exception of the workshop dinner. Attendees are responsible for their own travel and accommodation.

Registration deadlines

For submitting a contributed talk:

14 July 2025

For submitting a poster:

30 July 2025

For registering to the conference:

30 July 2025

If you missed a deadline but would still like to participate, please contact us directly.

Topics of interest

Higher-order signal processing
Topological data analysis
Graph learning
Hypergraph models

Speakers

Profile picture: Christian Bick
Christian Bick
Vrije Universiteit Amsterdam

Higher-order interactions for synchronization dynamics in network dynamical systems

Profile picture: Jürgen Jost
Jürgen Jost
MPI for Mathematics in the Sciences

Hypergraphs and their applications

Profile picture: Leto Peel
Leto Peel
Maastricht University

Topic TBA

Profile picture: Marzieh Eidi
Marzieh Eidi
MPI for Mathematics in the Sciences

From Curvature to Homology: Exploring Higher-Order Structures through Random Walks

Profile picture: Mehdi Naima
Mehdi Naima
Sorbonne Université

Topic TBA

Profile picture: Elvin Isufi
Elvin Isufi
Delft University of Technology

Topological Convolutional Learning

Profile picture: Geert Leus
Geert Leus
TU Delft

Scalable Higher-Order Topology Identification from Nodal Observations

Profile picture: Rebekka Burkholz
Rebekka Burkholz
CISPA Helmholtz Center for Information Security

Learning Dynamics with Higher Order Structure

AHORN: Repository of Higher-Order Datasets

As part of this workshop, we will introduce the Aachen Higher-Order Repository of Networks (AHORN), which aims to provide a comprehensive collection of higher-order network datasets, particularly focusing on simplicial complexes, cell complexes and hypergraphs. This repository is designed to facilitate research and development in the field of higher-order networks by offering a variety of datasets that can be used for benchmarking, testing algorithms, and exploring new concepts in network science.

The project is similar in spirit to graph repositories like ICON, SNAP, and Netzschleuder but specifically tailored for higher-order datasets.

Social programme

City tours

We have reserved guided tours of the city, organised by the Aachen tourism office, which will take place on the afternoon of the second day (Tuesday, August 12). There will be three options to choose from:

Participation is free.
All tours will begin up directly in front of the workshop venue at 16:00, last about 2.5 hours, and end at the Elisenbrunnen — just in time for the workshop dinner.

Workshop dinner

We have reserved seating at malê’ma for the workshop dinner, starting at 18:30.

Please note that payment is cash-only.

Available options

  • vegetable pan (vegan) - 14.90
  • mixed grill plate - 23.90
  • small starter plate - 16.90
  • pizza (any out of those that they offer) - 8.90-14.90
  • falafel plate (vegan) - 11.90

Agenda

Monday

9:00

Registration and refreshments

Location: Super C, Top floor hall

9:45

Opening remarks

Location: Super C, Ford room (top floor)

10:00

Hypergraphs and their applications

Jürgen Jost

11:00

Coffee break

11:30

From Curvature to Homology: Exploring Higher-Order Structures through Random Walks

Marzieh Eidi

12:30

Lunch break

Location: Super C, Top floor hall

14:00

TBA

Mehdi Naima

15:00

Coffee break

15:30

Session: Geometry

Michael Banf

Diaaeldin Taha

Otto Sumray

Location: Super C, Ford room

16:30

Coffee break

17:00

Poster session

Location: Super C, Top floor hall

Tuesday

9:00

Higher-order interactions for synchronization dynamics in network dynamical systems

Christian Bick

Location: Super C, Ford room (top floor)

10:00

Coffee break

10:30

Session: Higher-order interactions

Rommel Tchinda Djeudjo

Yu Tian

Claudia Merger

11:30

Lunch break

Location: Super C, Top floor hall

13:00

Learning Dynamics with Higher Order Structure

Rebecca Burkholz

14:00

Coffee break

14:20

Session: Deep learning

Černý, Marek

Moein E. Samadi

15:00

Discussion: AHORN repository

15:30

Coffee break

16:00

City tours

Location: Super C, outside lawn

18:30

Workshop dinner

Location: Male'ma

Wednesday

9:00

TBA

Elvin Isufi

Location: Super C, Ford room (top floor)

10:00

Coffee break

10:30

Session: Spectral methods

Wilfried Segnou

S. Nirmala Jenifer

Ka Man Yim

11:30

Lunch break

Location: Super C, Top floor hall

13:00

TBA

Leto Peel

14:00

Coffee break

14:30

Session: Random models

Noah Ostendorf

Diego Febbe

15:10

Scalable Higher-Order Topology Identification from Nodal Observations

Geert Leus

15:40

Closing remarks

16:00

Official end of workshop

Organized by the Computational Network Science group of the RWTH aachen.
In case of questions please reach out to netsci-events@cs.rwth-aachen.de.

netsci-events@cs.rwth-aachen.de
© 2025 Computational Network Science – RWTH Aachen