iiinova — where your digital self keeps evolving

Erik Andreas Martens @math-martens.bsky.social · 25/08/2026

Come join me at Roskilde University! Hiring a PhD in Applied Math for an exciting project on adaptive network dynamics & modeling circadian rhythms in social networks! Apply by Sep 4, 2026! 👇 candidate.hr-manager.net/ApplicationI...

candidate.hr-manager.net

PhD in Applied Mathematics – Adaptive Network Dynamics of Circadian Rhythms in Social Networks

The Department of Science and Environment, Roskilde University, invites applications for a PhD in Applied Mathematics – Adaptive Network Dynamics of Circadian R

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Erik Andreas Martens @math-martens.bsky.social · 27/03/2026

🔬 Deep dive into our research: My Group: erikmartens.net The Institute (IMFUFA): forskning.ruc.dk/en/organisat... 🤝 We value collaboration, mutual support, and individual development. Looking forward to your application!

erikmartens.net

Erik Andreas Martens' Website

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Erik Andreas Martens @math-martens.bsky.social · 15/01/2026

This is joint work with Rok Cestnik — many thanks for a great collaboration!

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Erik Andreas Martens @math-martens.bsky.social · 15/01/2026

The method performs well for attractor reconstruction, bifurcation diagram estimation, and prediction with partial or noisy data. Interestingly, adding small noise during training improves long-term stability — promising for surrogate models and digital twins.

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Erik Andreas Martens @math-martens.bsky.social · 15/01/2026

We introduce a scalable next-generation reservoir computing (NGRC) framework based on a pseudorandom nonlinear projection of time-delay embedded inputs. This decouples feature-space dimensionality from observation size, giving much more flexibility.

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Erik Andreas Martens @math-martens.bsky.social · 15/01/2026

🚀 New Paper Published! Proud to share the latest work with: “Next-generation reservoir computing for dynamical inference” published in Chaos! 📄 doi.org/10.1063/5.03... #ReservoirComputing #DynamicalSystems #AIforScience

doi.org

Validate User

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Erik Andreas Martens @math-martens.bsky.social · 28/10/2025

It's been a great pleasure to collaborate with @bickmath.bsky.social on Constrained network adaptation - published now in Chaos as a featured article!

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Erik Andreas Martens @math-martens.bsky.social · 15/07/2025

Sounds like I missed out on a great session!

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Erik Andreas Martens @math-martens.bsky.social · 15/07/2025

We should use it as a talk title. Or give a presentation at some meditation retreat.

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Erik Andreas Martens @math-martens.bsky.social · 14/07/2025

Free yourself - use constraints and reduce dimensionality!

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Reposted by Erik Andreas Martens

Christian Bick @bickmath.bsky.social · 14/07/2025

Adaptive network dynamics are too high dimensional? Constrain! Or maybe adaptation may be naturally constrained to low-dimensional dynamics? Joint work with @math-martens.bsky.social now on the arXiv at arxiv.org/abs/2507.06359.

arxiv.org

Multiple Timescale Dynamics of Network Adaptation with Constraints

Adaptive network dynamical systems describe the co-evolution of dynamical quantities on the nodes as well as dynamics of the network connections themselves. For dense networks of many nodes, the resul...

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