---
格式版本: 2
标题: "Diffract: Spectral View of LLM Domain Adaptation"
原文链接: "https://arxiv.org/abs/2608.10850"
发布日期: "2026-08-11"
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---

## Computer Science > Machine Learning

## Title:Diffract: Spectral View of LLM Domain Adaptation

[View PDF](https://arxiv.org/pdf/2608.10850) [HTML (experimental)](https://arxiv.org/html/2608.10850v1)

> Abstract:We study continual pre-training (CPT) as a mechanism for adapting general-purpose large language models to specialized domains: mathematics, instruction, code, and natural text. Using singular value decomposition of weight matrices, we find that CPT leaves singular value spectra largely invariant, with adaptation driven mainly by changes in singular vectors. An analysis of attention-head projection matrices reveals strong, domain-dependent head heterogeneity, which we exploit to define a head importance criterion: up to 60% of head updates can be removed without measurable quality loss. Selectively rewinding low-importance heads to their pre-trained state improves benchmark accuracy by up to 4% versus the fully trained baseline. Finally, we identify domain connectivity - linear interpolation between CPT checkpoints yields smooth domain-quality interpolation without notable degradation on either domain - and release Diffract, an open-source toolkit for scalable spectral analysis of billion-parameter models.

| Comments: |  |
| --- | --- |
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | [arXiv:2608.10850](https://arxiv.org/abs/2608.10850) \[cs.LG\] |
|  | (or [arXiv:2608.10850v1](https://arxiv.org/abs/2608.10850v1) \[cs.LG\] for this version) |
|  | [https://doi.org/10.48550/arXiv.2608.10850](https://doi.org/10.48550/arXiv.2608.10850) |

## Submission history

From: Nikita Borodin S. \[[view email](https://arxiv.org/show-email/dc667240/2608.10850)\]  
**\[v1\]** Tue, 11 Aug 2026 12:23:28 UTC (5,295 KB)

[Which authors of this paper are endorsers?](https://arxiv.org/auth/show-endorsers/2608.10850) | Disable MathJax ([What is MathJax?](https://info.arxiv.org/help/mathjax.html))
