Omega-S:面向 LLM 微调的功能韧性指数

HuggingFace Daily Papers(社区热门论文)·2026-08-04 08:00·22天前
AI 导读

Omega-S 是一种仅基于权重矩阵的即插即用惩罚项,无需先前任务数据、Fisher 矩阵或旧权重副本,在现有训练循环中仅需三行代码,且每步开销增加不到 4%。

HuggingFace Daily Papers(社区热门论文)
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Omega-S:面向 LLM 微调的功能韧性指数

2026-08-04 08:00· 22天前
AI 导读

Omega-S 是一种仅基于权重矩阵的即插即用惩罚项,无需先前任务数据、Fisher 矩阵或旧权重副本,在现有训练循环中仅需三行代码,且每步开销增加不到 4%。

Fine-tuning a large language model on new data degrades what it previously learned. We present Omega-S, a drop-in penalty computed from the weight matrix alone: it needs no previous-task data, no Fisher matrix and no stored copy of the old weights. It is three lines in an existing training loop and adds under 4% to the cost of a step. Retention. On Llama-3-8B with LoRA, fine-tuned from code to prose and measured by HumanEval over ten seeds, Omega-S retains more of the original capability than no regularisation on 9 of 10 seeds (0.173 -> 0.238 absolute pass@1; sign test one-sided p=0.011, Wilcoxon p=0.006), as a retention ratio, 62.9% -> 84.1%. It also beats tuned weight decay on 10 of 10 seeds (p=0.002) and tuned EWC on 8 of 10 (p=0.014), every arm re-measured in the same session. Mechanism, measured rather than asserted. Omega-S is topological by construction, its objective built from Tr(A^3), but we measured which of its four factors actually moves and three do not: their elasticity with respect to the weights is at or below 1e-4, against 9e-3 for the degree-variance term. As implemented, the composite reduces to a penalty on the variance of node degrees, which means row magnitude in square modules and directional alignment in non-square ones. We report this because a method whose name promises one thing and whose gradient does another should say so. We also enumerate the open design choices, including a contrast-preserving construction that does what it was designed to do and makes retention worse on all ten seeds. Repeating an identical configuration, same seed and same hardware, gives a standard deviation of 0.104 in retention ratio. We have not found this quantified for low-rank fine-tuning of language models, and it bounds every seed-paired comparison in this literature, ours included. Code, per-seed results and the full record of negative results are available.

来源:HuggingFace Daily Papers(社区热门论文)· arxiv.org