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Moir: Let the Model Direct Its Own Story for Robust Cross-Domain Knowledge Editing

Summary

Knowledge editing can degrade math and programming reasoning. Moir estimates preservation covariance by sampling from the model's own decoding distribution, requiring no external data. It significantly improves performance preservation across multiple models and editing methods.

SourcearXiv Computational LinguisticsAuthor: Jea Kwon, Jiwon Kim, Dong-kyum Kim, Meeyoung Cha
Moir: Let the Model Direct Its Own Story for Robust Cross-Domain Knowledge Editing
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[Submitted on 10 May 2026]

Title:Moir: Let the Model Direct Its Own Story for Robust Cross-Domain Knowledge Editing

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Abstract:While language models remain frozen at their training state, the world evolves continuously. Knowledge editing has emerged as a key alternative to full retraining, but its deployment is bottlenecked by the erosion of core capabilities: mathematical and programmatic reasoning collapse while encyclopedic recall remains intact. We trace this asymmetric degradation to a distributional mismatch. Covariance-based editors preserve only the subspaces spanned by their reference corpus, but fail to capture the operative distribution shaped by post-training such as SFT and DPO. Static external corpora, including Wikipedia and even the original pretraining mixture, cannot recover this shifted manifold. We propose Moir, which estimates the preservation covariance $C$ directly from the model itself by sampling from its own decoding distribution. Seeding generation with a single random vocabulary token bypasses the instruction-following templates that otherwise dominate sampled outputs, exposing the broader subspaces the model has internalized. Moir requires no external data and serves as a drop-in component for any covariance-based editor, a practical advantage given that the pre- and post-training corpora of most modern LLMs are not publicly accessible. Across OLMo-2, Llama-3.1, and Qwen-3 (7-8B), under both MEMIT and AlphaEdit and in batch and sequential regimes, Moir consistently extends preservation in the most vulnerable domains, most strikingly on Qwen3-8B after 20,000 AlphaEdit batch edits, it retains 79.9% GSM8K accuracy compared to 10.9% with the Wikipedia baseline. These results suggest that aligning the preservation distribution with the model's operative distribution is a key factor in non-destructive editing, and that the model itself may be the most accessible source of that distribution for deployed systems.

Subjects:

Computation and Language (cs.CL); Artificial Intelligence (cs.AI)

Cite as: arXiv:2607.20433 [cs.CL]

(or arXiv:2607.20433v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2607.20433

arXiv-issued DOI via DataCite

Submission history

From: Jea Kwon [view email] [v1] Sun, 10 May 2026 16:05:49 UTC (1,031 KB)

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Key points and analysis

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Key points

  • Knowledge editing often preserves factual recall but degrades mathematical and programmatic reasoning.
  • Moir samples from the model's own decoding distribution to estimate the preservation covariance, eliminating the need for external corpora.
  • Evaluated on OLMo-2, Llama-3.1, and Qwen-3 with MEMIT and AlphaEdit, Moir consistently improves preservation in vulnerable domains.
  • On Qwen3-8B after 20,000 batch AlphaEdit edits, GSM8K accuracy rose from 10.9% to 79.9%.

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