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Transformers are verified to implement Bayesian inference geometrically

development2025-12-31

Claim

Researchers verified for the first time that transformers implement Bayesian inference geometrically, with the residual stream as belief substrate, feed-forward layers performing posterior updates and attention providing content-addressable routing.

Reporting date: 2025-12-31 (not necessarily the event date)

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Attribution and reporting linked by this record; links do not imply independent verification.

Welcome to New Year's Eve 2025 (theinnermostloop.substack.com)

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Welcome to New Year's Eve 2025

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Welcome to New Year's Eve 2025

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Transformers are verified to implement Bayesian inference geometrically
Innermost Loop KB — secondary record
Reporting date: 2025-12-31
KB permalink: https://nicholsn.github.io/innermost-loop-kb/developments/2025-12-31-transformers-implement-bayes
Claim: Researchers verified for the first time that transformers implement Bayesian inference geometrically, with the residual stream as belief substrate, feed-forward layers performing posterior updates and attention providing content-addressable routing.
Attributed sources:
- Welcome to New Year's Eve 2025 — https://theinnermostloop.substack.com/p/welcome-to-new-years-eve-2025
This citation does not imply independent verification of linked-source claims.

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