ResearchResearch paperReinforcement Learning · Training & Scaling · Efficiency & Inference1 source · Oct 6, 2026

LFHE: Local-First Heuristic Evolution for Bounded Local Topology Search in Decentralized Learning with Non-IID Data

Decentralized learning is highly sensitive to communication topology under non-IID data.

Key points

  • Adaptive peer-selection methods can exploit local model information, but broader peer discovery may require increasingly large control state, whereas direct spectral optimization typically relies on graph-wide information.
  • We study the intermediate setting of bounded local topology search and propose Local-First Heuristic Evolution (LFHE), a representation-driven rewiring framework whose candidate discovery and scoring use only ego-neighborhood and friend-of-a-friend (FoF) information.
  • Matched-protocol controls identify the structural term as the principal empirical topology-selection signal, while comparison with broader peer discovery exposes a trade-off between predictive performance and discovery-state locality.
  • Together, these results motivate state-aware bounded local topology search between pairwise peer selection and globally informed topology optimization.

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