BeyondTheEdge

Graphs are maximally expressive for higher-order interactions We demonstrate that graph-based models are fully capable of representing higher-order interactions, and have a long history of being used for precisely this purpose. This stands in contrast to a commo...

New on the arxiv:

“Graphs are maximally expressive for higher-order interactions”

arxiv.org/abs/2602.16937

We clarify central misconceptions in the recent literature on "higher-order networks".

w/ @piratepeel.bsky.social , @manlius.bsky.social, and @thilogross.bsky.social

Explainer 🧵: 1/N

NetSci NL joined researchers from the Systems & Network Neuroscience program of Amsterdam Neuroscience, the Amsterdam Center for Dynamics and Computation, and the BeyondTheEdge Network to explore dynamics, network science, and its translation to neuroscience: www.amsterdamumc.org/en/research/...

Join our Cloud HD Video Meeting Zoom is the leader in modern enterprise cloud communications.

29 January 2026 — 10:00 CET
Online via Zoom
Join here:
zoom.us/j/8420929114...
Meeting ID: 842 0929 1148
Passcode: 921640

Open to all interested in higher-order networks, synchronisation, and complex systems. We look forward to seeing you there.

Join us on the 29th of January for the 9th BeyondTheEdge Seminar.

We are pleased to host Prof. Sarika Jalan (Indian Institute of Technology, Indore), who will present:

Rise of computation in the era of analytics: Coupled Kuramoto Oscillators on Hypergraphs

Registration is free and open to graduate students, postdoctoral researchers, and researchers from relevant disciplines. Prior experience with Python is helpful but not required.

The programme focuses on Multivariate Information Theory (MVIT) and its applications across physics, biology, neuroscience, artificial intelligence, data science, and related fields.

MITHIC 2026 is a hands-on workshop dedicated to theoretical and practical methods for analysing high-dimensional data and understanding how complex, emergent behaviour arises from interactions beyond the pairwise level.

We are pleased to announce MITHIC 2026 – Multivariate Information Theory and Higher-Order Interactions in Complex Systems, taking place 11–13 May 2026 in Zaragoza, Spain.

More details and registration: mithic2026.github.io

‪🎉 Big news! Giovanni Petri has been selected for the 𝟮𝟬𝟮𝟲 𝗗𝗶𝗴𝗶𝘁𝗮𝗹 𝗦𝗰𝗶𝗲𝗻𝗰𝗲 𝗖𝗼𝗺𝗺𝘂𝗻𝗶𝗰𝗮𝘁𝗶𝗼𝗻 𝗙𝗲𝗹𝗹𝗼𝘄𝘀𝗵𝗶𝗽 at the Museum of Science. He’ll join 40+ fellows to advance the impact of science through digital storytelling. 👏
tinyurl.com/68skdhdy

@lordgrilo.bsky.social, @museumofscience.bsky.social

BeyondTheEdge PhD student Fergal Murphy is presenting his work on adaptation in higher-order network dynamics in Berlin: www.beyondtheedge.network/event/worksh...

Building More Resilient Teams: A Mathematical Approach Using Hypergraphs When organizations need to assign people to projects, they face a fundamental challenge: how can they form teams that continue to function if someone becomes sick, leaves the company, or is otherwise ...

Our new paper on searching the space of hypergraphs to solve constrained combinatorial optimization problem is out. This was joint work with Guilherme Ferraz de Arruda, Wan He, Nasimeh Heydaribeni, Tara Javidi, and Yamir Moreno.

communities.springernature.com/posts/buildi...

Unfortunately, we had to postpone the event due to unforeseen events. We hope to catch up with you in the not-too-distant future!

Happy Higher-Order Holidays everyone!

Course: Stability of Collective Dynamics in Networks The BeyondTheEdge course

How do higher-order network interactions shape the collective dynamics of coupled nodes? The course by Eddie Nijholt gives an introduction to network dynamics and synchronization. All course material is available at www.beyondtheedge.network/event/course...

Dynamics on invariant tori emerging through forced symmetry breaking in phase oscillator networks We consider synchrony patterns in coupled phase oscillator networks that correspond to invariant tori. For specific nongeneric coupling, these tori are equilibria relative to a continuous symmetry act...

Let's break some structures imposed by higher-order interactions! We compute how things deform and what remains when continuous symmetries are broken. For now freely available at www.aimsciences.org/article/doi/... (but also at arXiv:2408.02119).

So what? But higher-order is so higher-order super!

Breaking higher-order interactions? 😫 But why?

Course: Spectral Theory of Graphs and Hypergraphs The BeyondTheEdge course

How to understand essential properties of the hypergraphs that capture higher-order interactions? The course by @beyondtheedge.network researcher Raffaella Mulas gives an introduction to spectral theory of hypergraphs. All course material is available at www.beyondtheedge.network/event/course...

Course: Higher-Order Methods for Data Course given by BeyondTheEdge researcher Fernando dos Santos (UvA) on Higher-Order Methods for Data

What is the "higher-order structure" of data? The course by @beyondtheedge.network researcher Fernando Santos gives an introduction to higher-order methods for data analysis. All course material is available at www.beyondtheedge.network/event/course...

Day of Networks, Dynamics, and Neuroscience in Amsterda This one day workshop on Jan 9, 2026 at the VU Amsterdam brings together researchers across dynamical systems, network science, and neuroscience.

Join us on Jan 9, 2026 for a Day of Networks, Dynamics, and Neuroscience in Amsterdam. www.beyondtheedge.network/event/day-of...

In this talk, Prof. Jost will explore the emerging mathematical theory of hypergraphs — from Laplace-type operators and spectra to discrete curvature — offering powerful tools for analysing complex empirical systems.

@beyondtheedge.bsky.social Join us today, Fri, 14 Nov (12:00 CET) for the next #BeyondTheEdge Seminar!

🧠 Prof. Jürgen Jost (MPI MiS, MPI–CBS, ScaDS.AI, Santa Fe Institute)
📘 Hypergraphs
📌 Online → tum-conf.zoom-x.de/j/66784884971?…
🔑 Meeting ID: 667 8488 4971 | Passcode: 352753

Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation Network interactions between dynamical units are often subject to time delay. We develop a phase reduction method for delay-coupled oscillator networks. The method is based on rewriting the delay-diff...

"Higher-order phase reduction for delay-coupled oscillators beyond the phase-shift approximation" now on the arXiv at arxiv.org/abs/2510.27524.

Global South Fellowship Scheme The Global South Plan of the Faculty of Science (FNWI) at the University of Amsterdam (UvA) offers four fellowships to talented scientists from the Global South to visit our Faculty for a few months a...

🥼Global South Fellowship!
DIEP is co-hosting one fellowship for a researcher from the Global South to work on subjects related to the Research Priority Area: Emergent Phenomena in Society in Amsterdam!
🚨Deadline to apply: 15/11 midnight
Please share!
More info: www.uva.nl/en/about-the...

BeyondTheEdge Seminar: Heather Harrington Heather Harrington (Oxford & MPI-CBG Dresden) speaks in the BeyondTheEdge Seminar

If you missed it, our September seminar with Prof. Heather Harrington on Topological Data Analysis for Multiscale Biology is now on YouTube. 🎥
Watch via the event page: beyondtheedge.network/event/semina...
#TDA #ComplexSystems

Last week, the second @beyondtheedge.network workshop took place in Marseille, France. It was an inspiring few days filled with insightful talks, engaging discussions, and intense brainstorming sessions/lectures on complex networks and higher-order interation.

Course: Higher-Order Interaction Networks This course by BeyondTheEdge researcher Michale Schaub (RWTH) provides an introduction to Higher-Order Interaction Networks

What are actually higher-order networks? The course by @beyondtheedge.network researcher Michael Schaub gives an introduction to the topic that BeyondTheEdge is all about. All course material is available at beyondtheedge.network/event/course...

Eddie Nijholt gave a course on synchronization in network dynamical systems at the BeyondTheEdge school in Marseille. This and other courses will be made available through www.beyondtheedge.network in the coming weeks for anyone interested. Stay tuned!

Lots of higher-order interactions at the joint @beyondtheedge.network and RUNES workshop at AMU in Marseille this week. Thanks to @alainbarrat.bsky.social and @lordgrilo.bsky.social!

BeyondTheEdge: The Next Generation The consortium welcomes the newest member of the BeyondTheEdge community.

BeyondTheEdge: The Next Generation www.beyondtheedge.network/articles/bey...