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Looped Transformers under the Jacobian Lens: Does the Global Workspace Survive Recurrence?

Wenlong Wang, Fergal Reid

Tracks information that can be decoded from, and altered within, repeated transformer layers. Finds that Ouro reconstructs this information each loop, while Huginn carries it forward.

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arXiv:2609.01924 · Initial submission: 2026-09-01

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Analysis and evaluation — Measure how well these methods work, investigate what their internal computation does, and identify where they fail. This includes experiments, studies of model internals, and mathematical results.

Recurrent reasoning — Repeat parts of the model or keep intermediate information in memory while working through a problem. Some methods also learn how many passes to run.

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