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Graph Machine: Towards Better Pretraining via Edges

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TL;DR - Graph Machine is a sparse architecture that maintains an O(n)-sized state while dynamically retrieving only a few entries through differentiably updated, pointer-like edges. Replacing most dense layers in a 0.6B-parameter Transformer preserved—and in one setting marginally improved—pretraining loss despite extremely sparse retrieval.

  • GM combines O(n) sparse-layer complexity with access to a state whose size can grow with sequence length.
  • Its dynamic routing uses edges updated through a differentiable referral mechanism resembling pointer chasing.
  • The authors replaced 75% of Qwen3-0.6B’s dense Transformer layers and pretrained the model from scratch on 15.7B tokens.
  • Retrieving 2 of 4,096 tokens per KV head caused only slight loss degradation; retrieving 4 yielded the best model and marginally improved loss.

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Graph Machine: Towards Better Pretraining via Edges

arXiv cs.LG Lintai Hou 2026-09-02 arXiv:2609.02881
Public signals Hugging Face upvotes 6
Providers: Hugging Face · Upvotes 6 OpenAlex · N/A Publisher · N/A Semantic Scholar · N/A X · N/A Fetched 2026-09-25 14:24:32.698733 UTC

TL;DR - Graph Machine is a sparse architecture that maintains an O(n)-sized state while dynamically retrieving only a few entries through differentiably updated, pointer-like edges. Replacing most dense layers in a 0.6B-parameter Transformer preserved—and in one setting marginally improved—pretraining loss despite extremely sparse retrieval.

  • GM combines O(n) sparse-layer complexity with access to a state whose size can grow with sequence length.
  • Its dynamic routing uses edges updated through a differentiable referral mechanism resembling pointer chasing.
  • The authors replaced 75% of Qwen3-0.6B’s dense Transformer layers and pretrained the model from scratch on 15.7B tokens.
  • Retrieving 2 of 4,096 tokens per KV head caused only slight loss degradation; retrieving 4 yielded the best model and marginally improved loss.
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