Statistical Physics Analysis of Graph Neural Networks: Approaching Optimality in the Contextual Stochastic Block Model

https://journals.aps.org/prx/abstract/10.1103/lfxj-hbsk

Emergence of polarization in social networks – Mikko Kivelä
https://youtu.be/HAZKJ9LpvHI

What if birds of a feather flock together, but only at specific group sizes?
https://nature.com/articles/s41467-025-66415-2

This is the focus of our new paper, Homophily within and across groups, now published in Nature Communications. Here, we introduce a maximum-entropy random graph model that moves beyond these limits, capturing homophily across all social scales in the network, with parameters for each group size. The framework decomposes homophily into within- and across-group contributions, recovering the stochastic block model as a special case. As an exponential-family model, it fits empirical data and enables inference of group-level variation of homophily that aggregate metrics miss. The group-dependence of homophily substantially impacts network percolation thresholds, altering predictions for epidemic spread, information diffusion, and the effectiveness of interventions. Ignoring such heterogeneity risks systematically misjudging connectivity and dynamics in complex systems.

#job: Research Scientist at the Wikimedia Foundation (Remote)

https://job-boards.greenhouse.io/wikimedia/jobs/7484474?gh_src=94cfded01us

#Postdoct: The Department of Network & Data Science at Central European University (CEU) invites applications for a full-time Postdoctoral Researcher position based in Vienna, under the supervision of Prof. Federico Battiston. The position is for 2 years with potential for extension.

https://careers.ceu.edu/job/Vienna-Post-doctoral-Researcher-%28fmd%29-1100/1331909655/

The Modern Software Developer - Stanford University • Fall 2025
https://themodernsoftware.dev/

This course demonstrates that modern AI tooling will not only enhance developer productivity but also democratize software engineering for a broader audience. We'll show that software development has evolved from 0-1 code creation to an iterative workflow of plan, generate with AI, modify, and repeat. Students will master both the theory behind traditional software engineering challenges and the cutting-edge AI-powered tools solving them today.

Through hands-on engineering tasks and talks from industry pioneers building these revolutionary tools, you'll gain practical experience with AI-assisted development, automated testing, intelligent documentation, and security vulnerability detection. By the end of this course, you'll have a crisp understanding of how to integrate state-of-the-art LLM models into complex development workflows and avoid common pitfalls.

The Digital Democracy Center (DDC) at the University of Southern Denmark, Odense, invites applications for one or more full-time #Postdoc positions within the interdisciplinary and cross-European research project FOOD-FRAMES.

https://fa-eosd-saasfaprod1.fa.ocs.oraclecloud.com/hcmUI/CandidateExperience/da/sites/CX_1001/job/3459

#PhD Fellowship in Complex Networks and Systems - Application deadline
📆 Jan 20, 2026

https://cbr.fm.ucp.pt/en/bolsa-investigacao-cberamasters

Surface optimization governs the local design of physical networks | Nature
https://www.nature.com/articles/s41586-025-09784-4