Gathered, Not Admitted: How Attention Brings a Latent Variable into Verbalizable Form

Hugging Face Daily Papers Papers

Summary

This paper explores how attention mechanisms in language models render latent variables accessible without a selective gate, identifying a demand-specific mid-depth window where attention-mediated gathering occurs.

Language models hold latent quantities in a form they can report on, and more of a quantity is present in that form when the task requires reusing it flexibly. What causes a representation to enter that form is open, and the word workspace invites an admission story: a gate that decides what gets in. Testing it on open-weight models with Jacobian lenses, over a benchmark whose five arms share an identical context, we find no gate where it predicts one. Demand raises a concept's lens visibility beyond what applying an operator to a supplied value produces: +0.050 [+0.045, +0.057] in percentile rank on our primary checkpoint, positive on all four we measure, though that arm answers at ceiling and the accuracymatched contrast is stronger under that readout. At the same time one shared linear map decodes the variable from every arm, the control included, at 6.4-9.0x its selection-corrected floor. What produces the later readable form at the queried position is attention-mediated gathering inside a mid-depth window: separating patch depth from readout depth puts transport there at least 17x above anywhere shallower under non-saturating readouts, with no tested MLP output contributing positively inside it. Under the saturating percentile rank the same grid does not localise the window, which is a fact about that measure. An arm that needs the variable for nothing concentrates sevenfold less, so the window is demand-specific. That window has two measured edges, a survival failure below and destruction above, and it falls at the same fractional depth in a 64-layer hybrid and a 62-layer dense model from another family. We localise where the variable is installed and read, not the route from the passage, which transports nothing. But the readout is not a calibrated measure of use: three components move it to within 12% of one another and differ 7.4x in what they do to the answer.
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Paper page - Gathered, Not Admitted: How Attention Brings a Latent Variable into Verbalizable Form

Source: https://huggingface.co/papers/2608.15022

Abstract

In language models, flexible reuse demands attention-mediated gathering at a mid-depth window to make latent variables readable, without a selective gate, and readout measures poorly reflect actual use.

Language models hold latent quantities in a form they can report on, and more of a quantity is present in that form when the task requires reusing it flexibly. What causes a representation to enter that form is open, and the wordworkspaceinvites an admission story: a gate that decides what gets in. Testing it onopen-weight modelswithJacobian lenses, over a benchmark whose five arms share an identical context, we find no gate where it predicts one. Demand raises a concept’s lens visibility beyond what applying an operator to a supplied value produces: +0.050 [+0.045, +0.057] inpercentile rankon our primary checkpoint, positive on all four we measure, though that arm answers at ceiling and the accuracymatched contrast is stronger under thatreadout. At the same time one sharedlinear mapdecodes the variable from every arm, the control included, at 6.4-9.0x its selection-corrected floor. What produces the later readable form at the queried position isattention-mediated gatheringinside amid-depth window: separatingpatch depthfromreadoutdepth puts transport there at least 17x above anywhere shallower under non-saturatingreadouts, with no testedMLPoutput contributing positively inside it. Under the saturatingpercentile rankthe same grid does not localise the window, which is a fact about that measure. An arm that needs the variable for nothing concentrates sevenfold less, so the window is demand-specific. That window has two measured edges, a survival failure below and destruction above, and it falls at the same fractional depth in a 64-layer hybrid and a 62-layerdense modelfrom another family. We localise where the variable is installed and read, not the route from the passage, which transports nothing. But thereadoutis not a calibrated measure of use: three components move it to within 12% of one another and differ 7.4x in what they do to the answer.

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