Paper Overview
Field: Machine Learning Authors: Zeyan Li, Panqi Yang, Qirong Guo, Shengda Zhuo, Siyuan Qiu, Hu Xu, Chun Li, Jianfeng Xu Posted: 2026-09-25 arXiv: 2609.31600
Problem
Low-rank adapters (LoRA) make it cheap to fine-tune a large language model once per task, but combining several independently trained adapters into one model remains difficult:
- Merging the updates in weight space causes interference.
- Retraining on all task data is expensive.
- Routing between separate adapters gives up the goal of a single combined model.
- Each adapter is rewritten into a balanced canonical form that exactly preserves its update.
- Coupling grows one-way only: new skills can read the input subspaces of old skills but cannot write into their output subspaces.
- When appending a new skill, the only trainable parameters are that skill's row in the coupling matrix.
- Merged updates fold directly into the base weights — no inference overhead, no routing, no task-specific rules.
- READ lifts average scores on every suite above the strongest published baselines built from the same adapters.
- SuperGLUE: improvement of more than 20 points.
- Domain suites: improvement of more than 7 points.
- Almost all complete sequential-stacking runs end above all direct baselines.
Key Idea
The paper traces the difficulty to two choices every composition method makes implicitly:
1. Factorization choice: A LoRA update admits infinitely many equivalent factorizations. The choice is invisible while an adapter serves alone, but it determines what a learned interaction between adapters can "see". 2. Coupling direction: Coupling between old and new skills can point in either direction, and the direction decides whether old skills keep computing what they originally computed.
Method: READ
READ (Read-only Expansion of Adapter Deltas) fixes both choices simultaneously:
Results
Evaluated on four benchmark suites and two model families, adding one skill at a time:
Takeaway
The decomposition coordinates and coupling direction that a single adapter never exposes are exactly what determine whether composed skills survive.
--- *Auto-collected 2026-09-29*