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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Thomas Barthel

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Preprint Aug 2026

Conditional-path Monte Carlo for rare stochastic dynamics on networks: Details and derivations

This paper provides the rigorous mathematical foundations and algorithmic details underlying the CPMC framework, and details a dynamic programming scheme to exactly implement complex boundary conditions - including patient-zero and macroscopic outbreak-size constraints - enabling the rejection-free generation of valid trajectories.

Thomas Barthel, Jiazheng Sun, Jhao-Hong Peng · 1 citation
Preprint Aug 2026

Rare-event sampling for stochastic dynamics in network systems using cluster updates

A novel technique called conditional-path Monte Carlo (CPMC), inspired by loop algorithms from equilibrium condensed-matter physics, which generates a Markov chain of trajectories that all strictly respect the targeted macroscopic boundary conditions like the occurrence of a massive network failure.

Jiazheng Sun, James Moody, Thomas Barthel · 1 citation

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