Abstract:Model merging offers a training-free way to combine multiple post-trained expert models, but merging experts obtained through reinforcement learning (RL) remains challenging. Existing spectral merging methods often assume that leading singular directions contain the main task signal, while lower-energy residual components can be compressed, selected, or attenuated to reduce interference. We find that this assumption does not hold for RL task vectors: after decomposing each task vector into a leading spectral head and a residual component, both parts can independently recover substantial behavior knowledge, while exhibiting different merging properties. The head is highly concentrated and informative but more prone to sharp cross-expert conflicts, whereas the residual component is more dispersed and provides a more stable basis for aggregation. Based on this observation, we propose ResMerge, a residual-based spectral merging framework for RL experts. ResMerge first constructs a stable residual backbone with Spherical Residual Consensus Adaptation, which estimates a reliability-weighted consensus direction on the Frobenius sphere. It then reintroduces leading-head information through a Lightweight Head Correction module gated by positive cross-expert agreement. Experiments across multiple RL expert groups and capability domains show that ResMerge better preserves expert capabilities than representative task-vector and spectral merging baselines. The implementation of ResMerge is publicly available at this https URL.
| Comments: | 14 pages including appendix |
| Subjects: | Computation and Language (cs.CL) |
| Cite as: | arXiv:2606.02252 [cs.CL] |
| (or arXiv:2606.02252v1 [cs.CL] for this version) | |
| https://doi.org/10.48550/arXiv.2606.02252 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Yandu Sun [view email]
[v1]
Mon, 1 Jun 2026 13:42:45 UTC (694 KB)
