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SPIN: Decentralized Swarm Control via Tensorized Policy Coordination

Summary

The SPIN framework tackles exponential action space and communication overhead in decentralized swarm control by modeling swarm topologies as compressed tensor networks, reducing complexity from exponential to linear.

SourcearXiv Machine LearningAuthor: Zhaowen Fan
SPIN: Decentralized Swarm Control via Tensorized Policy Coordination
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[2606.07557] SPIN: Decentralized Swarm Control via Tensorized Policy Coordination

[Submitted on 25 May 2026]

Title:SPIN: Decentralized Swarm Control via Tensorized Policy Coordination

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Abstract:Decentralized multi-agent swarm coordination on resource-constrained edge platforms remains fundamentally bottlenecked by the exponential scaling of joint action spaces and high-latency communication overhead. This paper introduces the Swarm Policy Interference Network (SPIN) framework, an architectural paradigm that bypasses these limitations by modeling swarm topologies as a compressed tensor network. We factorize the joint policy tensors of local multi-agent cliques into Matrix Product State (MPS) chains, reducing the computational complexity of evaluation from an exponential $O(n^m)$ wall to a strictly linear $O(m \cdot n \cdot \chi^2)$ constraint. To bridge local continuous spatial geometry with this discrete algebraic backend without requiring power-intensive online training loops, we introduce a decoupled, hybrid neuro-symbolic control pipeline. Local multi-layered neural networks operate as structural coordination encoders, pre-trained offline to nonlinearly map hand-engineered geometric descriptors into abstract environmental target measures. At runtime, edge agents execute instantaneous behavioral adaptations by applying the Radon-Nikodým derivative directly as a zero-shot importance-reweighting filter. We validate the framework within a discrete-time multi-agent simulation sandbox spanning tracking, decentralized dispersion/area coverage, and multi-goal coordination regimes. Qualitative telemetry demonstrates that the integrated pipeline achieves stable target-directed motion, anti-collapse spatial spreading under decentralized constraints, and structured subgroup formation across multiple targets, providing a mathematically grounded route to tractable, low-power edge swarm intelligence.

Comments: 11 pages, 2 figures, 1 tables, 6 sections

Subjects:

Machine Learning (cs.LG); Multiagent Systems (cs.MA); Social and Information Networks (cs.SI)

Cite as: arXiv:2606.07557 [cs.LG]

(or arXiv:2606.07557v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.07557

arXiv-issued DOI via DataCite

Submission history

From: Zhaowen Fan [view email] [v1] Mon, 25 May 2026 07:45:51 UTC (106 KB)

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Key points and analysis

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EngineersIntermediate

Key points

  • Factorizes joint policy tensors into Matrix Product State chains to reduce complexity from exponential to linear.
  • Employs a hybrid neuro-symbolic pipeline with offline-trained encoders and Radon-Nikodým derivative for zero-shot adaptation.
  • Validated in simulations of tracking, dispersion, and multi-goal coordination tasks.

Highlights and analysis are generated automatically and may contain errors. Check the original source.

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