sheaf-laplacian-coordination

Official

Coordinate multi-agent systems with sheaf Laplacians

Authorplurigrid
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill provides distributed coordination for multi-agent systems by modeling interactions as a cellular sheaf and using a graph Laplacian to drive consensus and inference across agents.

Core Features & Use Cases

  • Sheaf Laplacian: Consensus dynamics on the sheaf to reach agreement among agents.
  • Harmonic Extension: Infer missing data via globally consistent assignments.
  • Cohomology Detection: Identify obstructions to global agreement.
  • Sheaf Neural Networks: Learn restriction maps and diffusion layers from data.
  • Use Case: Swarm robotics or sensor networks where only partial observations are available.

Quick Start

Build a CellularSheaf over your network, define stalks and restrictions, then run diffusion or harmonic extension to reach consensus.

Dependency Matrix

Required Modules

Catlab.jl

Components

Standard package

💻 Claude Code Installation

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Please help me install this Skill:
Name: sheaf-laplacian-coordination
Download link: https://github.com/plurigrid/asi/archive/main.zip#sheaf-laplacian-coordination

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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