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Memory Becomes a Path Instead of a Search

A persistent local traversal head reached 0.95 mean return after 0.59 million training steps in a five-token MiniGrid test.

Published Updated Story ID: mp-2026-10-31-004
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Summary

A persistent local traversal head reached 0.95 mean return after 0.59 million training steps in a five-token MiniGrid test.

Long-context systems repeatedly search large stores from scratch, while recurrent compression must decide early what to keep. This proof of principle separates a memory's information value from its address and lets an agent traverse a persistent local neighborhood. On MiniGrid Memory with a five-token context, the local traversal head reached 0.95 mean return after 0.59 million training steps, compared with 0.94 million for Gaussian absolute addressing and more than 2 million for categorical addressing. The experiment used fixed geometry and did not test the paper's full learned-geometry or repeated-retrieval proposal.

Why it matters

A persistent local traversal head reached 0.95 mean return after 0.59 million training steps in a five-token MiniGrid test.

Limits and context

  • The experiment used fixed geometry and did not test the paper's full learned-geometry or repeated-retrieval proposal.

Key claims

  1. A persistent local traversal head reached 0.95 mean return after 0.59 million training steps in a five-token MiniGrid test.

    Qualification: The experiment used fixed geometry and did not test the paper's full learned-geometry or repeated-retrieval proposal.

    Evidence: source-2026-10-31-004

Sources

  1. arXiv preprint 2610.40545, original v1arXiv · primary research

Corrections

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