Time-Varying Data as Sheaves: an Invitation to Narratives

arXiv:2609.09056 · math.CT, cs.AI, cs.MA, cs.SY, eess.SY · Submitted 2026-09-08 · Read on arXiv

math.CT, cs.AI, cs.MA, cs.SY, eess.SY

Submitted: 2026-09-08

Updated: 2026-09-08

Comments: 42 pages, 7 figures. Book chapter

Project page: https://actconf2026.github.io/papers/ACT

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Multi-Agent System — 24× in this paper · explained in 6 episodes
• Generalization — 5× in this paper · explained in 13 episodes
• APEX — 3× in this paper · explained in 1 episode
• Aggregation — 3× in this paper · explained in 1 episode
• American Control Conference — 2× in this paper
• Abstraction — 1× in this paper · explained in 1 episode
• Axioms — 1× in this paper · explained in 2 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Conference on Decision and Control — 1× in this paper
• Cooperation — 1× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Hybrid System — 1× in this paper · explained in 2 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes
• Online Reinforcement Learning — 1× in this paper · explained in 2 episodes
• Probabilistic Forecasting — 1× in this paper · explained in 3 episodes
• Reinforcement Learning — 1× in this paper · explained in 4 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Decomposing time-varying data into simple pieces: structured decompositions of narratives
• Canonical graph decompositions via local separations
• Canonical graph decompositions via coverings
• Heterogeneous Multi-Agent Multi-Target Tracking using Cellular Sheaves

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