arXiv:cs.LG· Martin Hofmann, Patrick M\"ader·· 4 小时前AI 评分32
Transformer 训练中的深度诱导秩崩溃:表征上的损失项无法修复
Force without transmission: a depth-induced rank collapse that no loss on the representation reopens
AI 导读
研究发现,削弱 skip connection 会让小型 Transformer 陷入秩崩溃——所有 token 表征指向同一方向,学习停止,且添加任何损失项都无法修复。
正文
Abstract:Training can drive a transformer into a rank collapse: all token representations point in one direction, and learning stops. In a related collapse of attention, a loss term with a bounded corrective force repairs the network during the run. We ask whether such a term repairs rank collapse. We collapse small transformers by weakening their skip connection and treat copies of the collapsed network. No added loss term repaired the collapse, although the stronger kind pushed with about a tenth of the task gradient. The reason was the path, not the strength. The task gradient no longer reached the query and key weights, which decide where attention looks, and the added term's gradient faded before the blocks where the collapse forms. Restoring the skip connection, which changes no weight, reopened this path at once. The rank then recovered, but only far above the scale of collapse. After a burst of high learning rate the path stayed open and the rank recovered untreated. Registered predictions from the path ranked recovery times but did not transfer to this cause. In every case the loss stayed above that of a healthy network after the rank recovered. Whether a collapsed network can be repaired depends on whether the gradient still reaches the weights that must change, not on how strongly a loss term pushes.
| Comments: | 16 pages, 8 figures, 2 tables |
| Subjects: | Machine Learning (cs.LG) |
| MSC classes: | 68T07 |
| ACM classes: | I.2.6 |
| Cite as: | arXiv:2610.09958 [cs.LG] |
| (or arXiv:2610.09958v1 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2610.09958 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Martin Hofmann [view email]
[v1]
Wed, 7 Oct 2026 12:32:30 UTC (292 KB)
来源:arXiv:cs.LG · arxiv.org