Published June 4, 2026 | Version 1.0

Consensus Collapse in Language Model Pretraining

  • 1. Independent Researcher

Description

This manuscript investigates source disagreement in language-model pretraining. It argues that standard next-token cross-entropy collapses source-conditioned disagreement structure into a source-frequency-weighted marginal, making source reliability invisible to the training objective.

The paper develops a formal framework for this phenomenon ("consensus collapse"), proves a collapse theorem and a non-identifiability result for source-conditioned families under marginalization, derives consequences for attribution, calibration, and alignment, and evaluates the framework on controlled synthetic corpora.

Included are the primary manuscript, a technical note documenting derivations and discarded hypotheses, experimental code, and supporting materials.

Files

figure1.pdf

Files (708.4 kB)

Name Size Download all
md5:440158614188d5dc976e57a2cc4ff62c
27.8 kB Preview Download
md5:d87f8ba2c703b8849c540ee450c13592
20.5 kB Preview Download
md5:62bba68cd78ec82585c873916585df16
147.6 kB Preview Download
md5:89bcf2457fa1bb737b2f842b5b48dd87
333.6 kB Preview Download
md5:0250d90be62a614045141c22b2e0e1dc
178.9 kB Preview Download